研究者データベース

内藤 雄基ナイトウ ユウキ

所属部署名大学院理工学研究科 数理物質科学専攻
職名教授
Last Updated :2020/07/04

研究者基本情報

基本情報

氏名

  • 氏名

    内藤 雄基
  • 氏名(カナ)

    ナイトウ ユウキ

基本情報

  • ORCID ID

    0000-0001-9014-9690

所属

所属・職名

  • 部署

    大学院理工学研究科 数理物質科学専攻
  • 職名

    教授

学歴等

学歴

  • 1990年, 広島大学, 理学研究科
  • 1990年, 広島大学
  • 1989年, 広島大学, 理学研究科
  • 1989年, 広島大学
  • 1987年, 広島大学, 理学部
  • 1987年, 広島大学

学位

  • 博士(理学)

その他基本情報

所属学協会

  • 日本応用数理学会
  • 日本数学会
  • Japan Society for Industrial and Applied Mathematics
  • Japan Mathematical Society

委員歴

  • 2015年04月 - 現在, 日本数学会, 函数方程式分科会委員
  • 2009年 - 現在, Differential Equations and Application, 雑誌編集委員
  • 2016年03月 - 2017年02月, 日本数学会, 中国・四国支部評議員
  • 2016年03月 - 2017年02月, 日本数学会, 2016年度全国区代議委員

経歴

  • 2007年 - 2009年, 神戸大学大学院工学科
  • 2007年 - 2009年, Graduate school of Engineering, Kobe University
  • 2009年 - , - 愛媛大学理工学研究科
  • 2009年 - , - Graduate school of Science and Engineering
  • 1999年 - 2007年, 神戸大学工学部
  • 1999年 - 2007年, Faculty of Engineering
  • 1996年 - 1999年, 神戸大学工学部
  • 1996年 - 1999年, 神戸大学 工学部
  • 1990年 - 1996年, 広島大学理学部
  • 1990年 - 1996年, 広島大学 理学部

研究活動情報

研究分野等

研究分野

  • 自然科学一般, 数理解析学, 非線形偏微分方程式

研究キーワード

  • 非線形偏微分方程式
  • Nonlinear Partial Differential Equations

著書・発表論文等

論文

  • Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state, Yūki Naito, Takasi Senba, Nonlinear Analysis, Theory, Methods and Applications, Nonlinear Analysis, Theory, Methods and Applications, 2019年04月, 0362-546X, 10.1016/j.na.2018.12.001
  • Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data, Yuki Naito, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2019年01月, 0308-2105, 10.1017/prm.2018.97
  • Singular extremal solutions for supercritical elliptic equations in a ball, Miyamoto Yasuhito, Naito Yuki, JOURNAL OF DIFFERENTIAL EQUATIONS, JOURNAL OF DIFFERENTIAL EQUATIONS, 2018年10月, [査読有り], 0022-0396, 10.1016/j.jde.2018.04.055
  • SEPARATION STRUCTURE OF RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS WITH EXPONENTIAL NONLINEARITY, Bae Soohyun, Naito Yuki, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018年09月, [査読有り], 1078-0947, 10.3934/dcds.2018198
  • RECTIFIABLE AND NONRECTIFIABLE SOLUTION CURVES OF HALF-LINEAR DIFFERENTIAL SYSTEMS, Naito Yuki, Pasic Mervan, Tanaka Satoshi, MATHEMATICA SLOVACA, MATHEMATICA SLOVACA, 2018年06月, [査読有り], 0139-9918, 10.1515/ms-2017-0126
  • A priori bounds for superlinear elliptic equations with semidefinite nonlinearity, Yiki Naito, Takashi Suzuki, Yohei Toyota, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017年03月, [査読有り], 0362-546X, 10.1016/j.na.2016.11.016
  • GLOBAL ATTRACTIVITY AND CONVERGENCE RATE IN THE WEIGHTED NORM FOR A SUPERCRITICAL SEMILINEAR HEAT EQUATION, Yuki Naito, DIFFERENTIAL AND INTEGRAL EQUATIONS, DIFFERENTIAL AND INTEGRAL EQUATIONS, 2015年07月, [査読有り], 0893-4983
  • A remark on self-similar solutions for a semilinear heat equation with critical Sobolev exponent, 内藤 雄基, Advanced Studies in Pure Mathematics, Advanced Studies in Pure Mathematics, 2015年, [査読有り]
  • Existence and separation of positive radial solutions for semilinear elliptic equations, Soohyun Bae, Yuki Naito, JOURNAL OF DIFFERENTIAL EQUATIONS, JOURNAL OF DIFFERENTIAL EQUATIONS, 2014年10月, [査読有り], 0022-0396, 10.1016/j.jde.2014.05.042
  • Convergence rate in the weighted norm for a semilinear heat equation with supercritical nonlinearity, Yūki Naito, Kodai Mathematical Journal, Kodai Mathematical Journal, 2014年01月, [査読有り], 0386-5991, 10.2996/kmj/1414674614
  • Characterization for rectifiable and nonrectifiable attractivity of nonautonomous systems of linear differential equations, Yuki Naito, Mervan Pašić, International Journal of Differential Equations, International Journal of Differential Equations, 2013年11月, [査読有り], 1687-9643, 10.1155/2013/740980
  • Bounded and unbounded oscillating solutions to a parabolic-elliptic system in two dimensional space, Yuki Naito, Takasi Senba, Communications on Pure and Applied Analysis, Communications on Pure and Applied Analysis, 2013年09月, [査読有り], 1534-0392, 10.3934/cpaa.2013.12.1861
  • The role of forward self-similar solutions in the Cauchy problem for semilinear heat equations, Yuki Naito, JOURNAL OF DIFFERENTIAL EQUATIONS, JOURNAL OF DIFFERENTIAL EQUATIONS, 2012年12月, [査読有り], 0022-0396, 10.1016/j.jde.2012.08.013
  • BLOW-UP BEHAVIOR OF SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM ON HIGHER DIMENSIONAL DOMAINS, Yuki Naito, Takasi Senba, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012年10月, [査読有り], 1078-0947, 10.3934/dcds.2012.32.3691
  • Classification of second-order linear differential equations and an application to singular elliptic eigenvalue problems, Yuki Naito, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2012年06月, [査読有り], 0024-6093, 10.1112/blms/bdr117
  • Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent, Yuki Naito, Tokushi Sato, ANNALI DI MATEMATICA PURA ED APPLICATA, ANNALI DI MATEMATICA PURA ED APPLICATA, 2012年01月, [査読有り], 0373-3114, 10.1007/s10231-010-0173-y
  • Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent, Yuki Naito, Tokushi Sato, ANNALI DI MATEMATICA PURA ED APPLICATA, ANNALI DI MATEMATICA PURA ED APPLICATA, 2012年01月, [査読有り], 0373-3114, 10.1007/s10231-010-0173-y
  • OSCILLATING SOLUTIONS TO A PARABOLIC-ELLIPTIC SYSTEM RELATED TO A CHEMOTAXIS MODEL, Yuki Naito, Takasi Senba, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011年09月, [査読有り], 1078-0947
  • Existence and non-existence of sign-changing solutions for a class of two-point boundary value problems involving one-dimensional p-Laplacian, Yuki Naito, Mathematica Bohemica, Mathematica Bohemica, 2011年06月, [査読有り], 0862-7959
  • Self-similar blow-up for a chemotaxis system in higher dimensional domains, RIMS Kokyuroku BessatsuMathematical analysis on the self-organization and self-similarity, RIMS Kokyuroku BessatsuMathematical analysis on the self-organization and self-similarity, 2009年, [査読有り]
  • Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional p-Laplacian, Yuki Naito, Satoshi Tanaka, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008年11月, [査読有り], 0362-546X, 10.1016/j.na.2007.09.002
  • Self-Similarity in Chemotaxis Systems, Colloq. Math., Colloq. Math., 2008年, [査読有り]
  • Self-similar solutions for a semilinear heat equation with critical Sobolev exponent, Yuki Naito, INDIANA UNIVERSITY MATHEMATICS JOURNAL, INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2008年, [査読有り], 0022-2518, 10.1512/iumj.2008.57.3279
  • Positive solutions for semilinear elliptic equations with singular forcing terms, Yuki Naito, Tokushi Sato, JOURNAL OF DIFFERENTIAL EQUATIONS, JOURNAL OF DIFFERENTIAL EQUATIONS, 2007年04月, [査読有り], 0022-0396, 10.1016/j.jde.2007.01.006
  • A variational approach to self-similar solutions for semilinear heat equations, Advanced Studies in Pure Mathematics, Asymptotic Analysis and Singuralities, Advanced Studies in Pure Mathematics, Asymptotic Analysis and Singuralities, 2007年, [査読有り]
  • Existence of type II blowup solutions for a semilinear heat equation with critical nonlinearity, Yuki Naito, Takashi Suzuki, JOURNAL OF DIFFERENTIAL EQUATIONS, JOURNAL OF DIFFERENTIAL EQUATIONS, 2007年01月, [査読有り], 0022-0396, 10.1016/j.jde.2006.07.012
  • Asymptotically self-similar solutions for the parabolic systems modelling chemotaxis, Banach Center Publ.Self-similar solutions of nonlinear PDE,, Banach Center Publ.Self-similar solutions of nonlinear PDE,, 2006年, [査読有り]
  • An ODE approach to the multiplicity of self-similar solutions for semi-linear heat equations, Yuki Naito, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2006年, [査読有り], 0308-2105, 10.1017/S0308210500004741
  • Self-similar solutions to a nonlinear parabolic-elliptic system, Yuki Naito, Takashi Suzuki, Taiwanese J. Math., Taiwanese J. Math., 2004年12月, [査読有り], 1027-5487
  • Non-uniqueness of solutions to the Cauchy problem for semilinear heat equations with singular initial data, Y Naito, MATHEMATISCHE ANNALEN, MATHEMATISCHE ANNALEN, 2004年05月, [査読有り], 0025-5831, 10.1007/s00208-004-0515-4
  • On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations, Y Naito, S Tanaka, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004年03月, [査読有り], 0362-546X, 10.1016/j.na.2003.10.020
  • Self-similar solutions to a parabolic system modeling chemotaxis, Y Naito, T Suzuki, K Yoshida, JOURNAL OF DIFFERENTIAL EQUATIONS, JOURNAL OF DIFFERENTIAL EQUATIONS, 2002年09月, [査読有り], 0022-0396, 10.1006/jdeq.2001.4146
  • Oscillation criteria for quasilinear elliptic equations, Yuki Naito, Hiroyuki Usami, Nonlinear Anal. TMA, Nonlinear Anal. TMA, 2001年12月, [査読有り], 0362-546X
  • Symmetry results for semilinear elliptic equations in R-2, Y Naito, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001年08月, [査読有り], 0362-546X, 10.1016/S0362-546X(01)00486-2
  • Existence of self-similar solutions to a parabolic system modelling chemotaxis, N Muramoto, Y Naito, K Yoshida, JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2000年10月, [査読有り], 0916-7005
  • Nonexistence results of positive solutions for semilinear elliptic equations in R-n, Y Naito, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2000年07月, [査読有り], 0025-5645
  • Radial symmetry of self-similar solutions for semilinear heat equations, Y Naito, T Suzuki, JOURNAL OF DIFFERENTIAL EQUATIONS, JOURNAL OF DIFFERENTIAL EQUATIONS, 2000年05月, [査読有り], 0022-0396, 10.1006/jdeq.l999.3742
  • Radial symmetry of positive solutions for semilinear elliptic equations in R^n, Journal of the Korean Mathematical Society, Journal of the Korean Mathematical Society, 2000年, [査読有り]
  • A note on the moving sphere method, Y Naito, T Suzuki, PACIFIC JOURNAL OF MATHEMATICS, PACIFIC JOURNAL OF MATHEMATICS, 1999年05月, [査読有り], 0030-8730
  • A note on radial symmetry of positive solutions for semilinear elliptic equations in R^n, Differential Integral Equations, Differential Integral Equations, 1998年, [査読有り]
  • Radial symmetry of positive solutionsfor semilinear elliptic equations on the unit ball in R^n, Funkcial. Ekvac., Funkcial. Ekvac., 1998年, [査読有り]
  • Oscillation and nonoscillation criteria for second order quasilinear differential equations, T Kusano, Y Naito, ACTA MATHEMATICA HUNGARICA, ACTA MATHEMATICA HUNGARICA, 1997年07月, 0236-5294
  • Nonexistence results of positive entire solutions for quasilinear elliptic inequalities, K Naito, H Usami, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1997年06月, [査読有り], 0008-4395
  • Entire solutions of the inequality div(A(|Du|)Du)≧f(u), Yuki Naito, Hiroyuki Usami, Math. Z., Math. Z., 1997年05月, [査読有り], 0025-5874
  • Nonexistence results of positive enitre solutions for quasilinear elliptic equations, Canad. Math. Bull., Canad. Math. Bull., 1997年, [査読有り]
  • Oscillation theory for semilinear elliptic equations with arbitrary nonlinearities, Funkcial. Ekvac., Funkcial. Ekvac., 1997年, [査読有り]
  • Radial symmetry of positive solutionsfor semilinear elliptic equations in a disc, Hiroshima Math. J., Hiroshima Math. J., 1996年, [査読有り]
  • Uniqueness of positive solutions of quasilinear differential equations, Differential and Integral Equations, Differential and Integral Equations, 1995年, [査読有り]
  • A note on the existence of nonoscillatory solutions of neutraldifferential equations, Hiroshima Math. J., Hiroshima Math. J., 1995年, [査読有り]
  • Damped oscillation of solutions for some nonlinear second order ordinary differential equations, Adv. Math. Sci. Appl., Adv. Math. Sci. Appl., 1995年, [査読有り]
  • EXISTENCE AND ASYMPTOTIC-BEHAVIOR OF POSITIVE SOLUTIONS OF NEUTRAL DIFFERENTIAL-EQUATIONS, Y NAITO, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994年11月, [査読有り], 0022-247X
  • Strong oscillation and nonoscillation of quasilinear differential equations of second order, Differential Equations and Dynamical Systems, Differential Equations and Dynamical Systems, 1994年
  • Bounded solutions with prescribed numbers of zeros for the Emden-Fowler differential equation, Hiroshima Math. J., Hiroshima Math. J., 1994年, [査読有り]
  • Solutions with prescribed numbers of zeros for nonlinear second order differential equations, Funkcial. Ekvac., Funkcial. Ekvac., 1994年, [査読有り]
  • Radial entire solutions of a class of sublinear elliptic equations, Adv. Math. Sci. Appl., Adv. Math. Sci. Appl., 1993年, [査読有り]
  • Asymptotic behavior of decaying nonoscillatory solutions of neutral differential equations, Funkcial. Ekvac., Funkcial. Ekvac., 1992年, [査読有り]
  • Nonoscillatory solutions of neutral differential equations, Hiroshima Math. J., Hiroshima Math. J., 1990年, [査読有り]

書籍等出版物

講演・口頭発表等

  • Existence and uniqueness of singular solutions for supercritical semilinear elliptic equations, 内藤 雄基, RIMS 共同研究(グループ型) 「常微分方程式の手法による非線形問題の探究」, 2019年03月
  • Incomplete blow-up of solutions for semilinear heat equations with supercritical nonlinearity, 内藤 雄基, 名古屋微分方程式セミナー, 2018年12月, 招待有り
  • Singular sextremal solutions for supercritical elliptic equations in a ball, 内藤 雄基, 日本数学会秋期総合分科会, 2018年09月
  • Incomplete blow-up solutions for semilinear heat equations with supercritical nonlinearity, 内藤 雄基, The 12Th AIMS conference, SS102, 2018年07月
  • Positive singular solutions for semilinear elliptic equationswith supercritical nonlinearity, 内藤 雄基, The 12Th AIMS conference, SS101, 2018年07月
  • An ODE approach to backward self-similar solutions for semilinear heat equations, 内藤 雄基, NTHU Department of Mathematics Visiting Scholar Colloquium, 2018年07月, 招待有り
  • 非線形熱方程式の不完全爆発解の存在について, 内藤 雄基, 九州関数方程式セミナー, 2018年06月, 招待有り
  • Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data, 内藤 雄基, RIMS共同研究(公開型) 「保存則をもつ偏微分方程式の解の正則性,特異性および漸近挙動の研究」, 2018年06月, 招待有り
  • Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data, 内藤 雄基, 日本数学会2018年度年会, 2018年03月
  • A shooting approach to backward self-similar solutions for semilinear heat equations, 内藤 雄基, RIMS共同研究(グループ型)「非線形問題への常微分方程式の手法によるアプローチ」, 2018年03月
  • Singular extremal solutions for supercritical elliptic equations in a ball, 内藤 雄基, HMAセミナー・冬の研究会 2018, 2018年01月, 招待有り
  • Asymptotically self-similar behavior of global solutions to semilinear heat equations, 内藤 雄基, Nonlinear Analysis, PDEs, and Applications(Jeju, Korea), 2017年09月, 招待有り, Ramada Hamdeok Hotel, Jeju, Korea
  • Asymptotically self-similar behavior of global solutions to semilinear heat equations, 内藤 雄基, 非線形偏微分方程式の定性的理論(岡山大学), 2017年09月, 招待有り, )岡山大学理学部 岡山市
  • Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data, 内藤 雄基, 愛媛大学における微分方程式セミナー, 2017年09月
  • Singular sextremal solutions for supercritical elliptic equations in a ball, 内藤 雄基, Equadiff2017 (Bratislava, Slovakia), 2017年07月, Slovak University of Technology, Bratislava, Slovakia
  • Separation structure of solutions for elliptic equations with exponential nonlinearity, 内藤 雄基, Nonlinear PDE and Applications,KAIST, Korea, 2017年03月, 招待有り
  • Incomplete blow-up of solutions for semilinear heat equations with supercritical nonlinearity, 内藤 雄基, 第34回九州における偏微分方程式研究集会, 2017年02月, 招待有り
  • Asymptotic self-similarity of solutions to semilinear heat equations, 内藤 雄基, Mathematical Analysis on Nonlinear PDEs 東北大学, 2017年01月, 招待有り
  • Singular extremal solutions for supercritical elliptic equations in a ball, 内藤 雄基, 常微分方程式の定性的理論ワークショップ 島根大学, 2016年09月, 招待有り
  • A priori bounds for superlinear ellitptic equations with semidefinite nonlinearity, 鈴木貴, 豊田洋平, 内藤雄基, 日本数学会秋期大会、関西大学, 2016年09月
  • Peaking solutions to semilinear heat equations with supercritical nonlinearities, 内藤 雄基, 7th Euro-Japanese Workshop on Blow-up, Poznun, Poland, 2016年09月, 招待有り, Bedlewo, Poznun, Poland
  • Classification of bifurcation diagrams for supercritical elliptic equations in a ball, 内藤 雄基, 第141回神楽坂解析セミナー, 2016年05月, 招待有り
  • Structure of positive solutions for semilinear elliptic equations with supercritical growth, 内藤 雄基, 第5回弘前非線形方程式研究会, 2015年12月, 招待有り
  • Structure of positive solutions for semilinear elliptic equations with supercritical growth, 内藤 雄基, RIMS 研究集会「偏微分方程式の解の形状と諸性質」, 2015年11月, 招待有り
  • Global attractivity in the weighted norm for a supercritical semilinear heat equation, 内藤 雄基, 日本数学会秋期総合分科会(京都産業大学), 2015年09月
  • Separation structure of positive radial solutions for semilinear elliptic equations, 内藤 雄基, Equadiff 2015 (Lyon, France), 2015年07月
  • Some remarks on separation property of solutions for elliptic equations with exponential nonlinearity, 内藤 雄基, 2015 International Workshop on Nonlinear PDE and Application, 2015年06月, 招待有り
  • Threshold solutions for semilinear heat equations with polynomial decay initial data, 内藤 雄基, ひこね解析セミナー, 2015年06月, 招待有り
  • Threshold solutions for semilinear heat equations with polynomial decay initial data, 内藤 雄基, 東北大学 応用数学セミナー, 2015年05月, 招待有り

MISC

  • Structure of positive solutions for semilinear elliptic equations with supercritical growth (Shapes and other properties of the solutions of PDEs), 宮本 安人, 内藤 雄基, 数理解析研究所講究録, 京都大学数理解析研究所, 数理解析研究所講究録, 2006, 20, 29, 2016年11月, 1880-2818, http://ci.nii.ac.jp/naid/120006477707
  • Conditional oscillation for second order linear differential equations (New Developments of Functional Equations in Mathematical Analysis), 内藤 雄基, 数理解析研究所講究録, 京都大学, 数理解析研究所講究録, 1702, 65, 70, 2010年08月, 1880-2818, http://ci.nii.ac.jp/naid/110007687120
  • Self-similar blow-up for a chemotaxis system in higher dimensional domains (Mathematical analysis on the self-organization and self-similarity), NAITO Yuki, SENBA Takasi, 数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu, 京都大学, 数理解析研究所講究録別冊 = RIMS Kokyuroku Bessatsu, 15, 87, 99, 2009年12月, 1881-6193, http://ci.nii.ac.jp/naid/110007480952
  • Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent (Variational Problems and Related Topics), 内藤 雄基, 佐藤 得志, 数理解析研究所講究録, 京都大学, 数理解析研究所講究録, 1671, 91, 95, 2009年12月, 1880-2818, http://ci.nii.ac.jp/naid/110007470430
  • Positive solutions for semilinear elliptic equations involving Dirac measures(Functional Equations Based upon Phenomena), 内藤 雄基, 佐藤 得志, 数理解析研究所講究録, 京都大学, 数理解析研究所講究録, 1547, 114, 119, 2007年04月, 1880-2818, http://ci.nii.ac.jp/naid/110006241273
  • Existence of solutions with prescribed numbers of zeros of boundary value problems for ordinary differential equations with the one-dimensional $p$-Laplacian(Dynamics of functional equations and numerical simulation), 田中 敏, 内藤 雄基, 数理解析研究所講究録, 京都大学, 数理解析研究所講究録, 1474, 162, 168, 2006年02月, 1880-2818, http://ci.nii.ac.jp/naid/120000901526
  • Structure of positive self-similar solutions to semilinear heat equations with supercritical nonlinearity (関数方程式と数理モデル 研究集会報告集), 内藤 雄基, 数理解析研究所講究録, 京都大学, 数理解析研究所講究録, 1309, 254, 257, 2003年02月, 1880-2818, http://ci.nii.ac.jp/naid/110000167141
  • Non-uniqueness in the Cauchy problems for semilinear heat equations with singular initial data〔和文〕 (関数方程式の解のダイナミクスとその周辺 研究集会報告集), 内藤 雄基, 数理解析研究所講究録, 京都大学, 数理解析研究所講究録, 1254, 151, 154, 2002年04月, 1880-2818, http://ci.nii.ac.jp/naid/110000166187
  • Self-similar solutions to a parabolic system modelling chemotaxis (非線形発展方程式とその応用), 内藤 雄基, 鈴木 貴, 吉田 清, 数理解析研究所講究録, 京都大学, 数理解析研究所講究録, 1197, 189, 195, 2001年04月, 1880-2818, http://ci.nii.ac.jp/naid/110000165221
  • Some remarks on the method of moving planes〔和文〕 (非線形偏微分方程式の解の構造とその解析手法についての研究), 内藤 雄基, 数理解析研究所講究録, 京都大学, 数理解析研究所講究録, 1204, 1, 8, 2001年04月, 1880-2818, http://ci.nii.ac.jp/naid/110000165332
  • Radial symmetry of self-similar solutions for semilinear heat equations, Y Naito, T Suzuki, JOURNAL OF DIFFERENTIAL EQUATIONS, ACADEMIC PRESS INC, JOURNAL OF DIFFERENTIAL EQUATIONS, 163, 2, 407, 428, 2000年05月, 0022-0396, 10.1006/jdeq.1999.3742, https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=0010852697&origin=inward, The symmetry properties of positive solutions of the equation Delta u + 1/2 x . del u + 1/p - 1 u + u(P) = 0 in R-n, where n greater than or equal to 2, p > (n + 2)/n, was studied. It was proved that ri must be radially symmetric about the origin provided u(x) = o(\x\(-2)/((p-1))) as \x\ --> infinity, and that there exist non-radial solutions u satisfying lim sup(\x\ --> infinity) \x\(2/(p- I))u(x) > 0. (C) 2000 Academic Press.
  • Keller-Segel方程式系に対する自己相似解 (数理モデルと関数方程式), 村本 直己, 内藤 雄基, 吉田 清, 数理解析研究所講究録, 京都大学, 数理解析研究所講究録, 1128, 143, 147, 2000年01月, 1880-2818, http://ci.nii.ac.jp/naid/110000164053
  • Nonexistence results of positive solutions for semilinear elliptic equations in R <sup>n</sup>, Yūki Naito, Journal of the Mathematical Society of Japan, Journal of the Mathematical Society of Japan, 52, 637, 644, 2000年01月, 0025-5645, 10.2969/jmsj/05230637, https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85037878734&origin=inward, We consider the global properties of nonnegative solutions of the semilinear elliptic equations in the entire space. By employing Pohozaev identity in the entire space and the results concerning the asymptotic behavior of nonnegative solutions, we establish some theorems of Liouville type. © 2000 Applied Probability Trust.
  • Radial symmetry of self-similar solutions for semilinear heat equations (Methods and Applications for Functional Equations), 内藤 雄基, 鈴木 貴, 数理解析研究所講究録, 京都大学, 数理解析研究所講究録, 1083, 181, 186, 1999年02月, 1880-2818, http://ci.nii.ac.jp/naid/110000985507

その他研究情報

競争的資金

その他

愛媛大学教員活動実績

教育活動(B)

担当授業科目(B01)

  • 2019年, 前期, 学部, 卒業研究Ⅰ
  • 2019年, 前期, 学部, 解析学Ⅰ
  • 2019年, 前期, 修士, 数理科学ゼミナールⅠ
  • 2019年, 前期, 修士, 数理科学ゼミナールⅢ
  • 2019年, 前期, 修士, 解析学概論


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