Publication - 下條昌彦 (Masahiko Shimojo)

BOOK

“Introduction to blow-up problems for nonlinear heat equations” (Lectured by Marek Fila), Seminary Note of Mathematical Science of The University of Tokyo (Japanese).

俣野博(監修), 下條昌彦(記), 「非線形熱方程式の爆発問題入門」- Marek Fila氏講義録-東京大学数理科学レクチャーノート，全248ページ，東京大学数理科学研究科（レクチャーノート10）

INTENSIVE LECTURE NOTES

非線形放物型方程式における交点数理論入門，芝浦工業大学応用数学勉強会レクチャーノート, 全96ページ, 2016.

STUDY NOTE

ダルブーの代数的可積分系とリーの理論-非線形中心問題と反応拡散方程式への応用-, 数理解析研究所考究録 (vol.2146, pp.117-146), 偏微分方程式の解の形状解析, 2020.

外力項付き曲率流のある自由境界問題, 数理解析研究所考究録 (vol.1979, pp.152-176), パターン形成と界面ダイナミクスの数理, 2015.

JOURNAL

Stability of monostable traveling waves in diffusive three-species competition systems

Jong-Shenq Guo, Karen Guo, Masahiko Shimojo

Applied Mathematics Letters 148 108891 Feb, 2024 Peer-reviewed

Convergence to traveling waves in reaction-diffusion systems with equal diffusivities

Jong-Shenq Guo, Masahiko Shimojo

Journal of Differential Equations 375 156-171 Dec, 2023 Peer-reviewed

Forced waves for diffusive competition systems in shifting environments

Jong-Shenq Guo, Karen Guo, Masahiko Shimojo

Nonlinear Analysis: Real World Applications 73(103880) 103880-103880 Oct, 2023 Peer-reviewed

Spreading and extinction of solutions to the logarithmic diffusion equation with a logistic reaction

Harunori Monobe, Masahiko Shimojo, Eiji Yanagida

55(3) 2261-2287 Jun, 2023 Peer-reviewed

A Liouville theorem for a class of reaction–diffusion systems with fractional diffusion

Jong-Shenq Guo, Masahiko ShimojoHarunori Monobe, Masahiko Shimojo, Eiji Yanagida

Applied Mathematics Letters 133(108254) 1-7 Nov, 2022年 Peer-reviewed

Convergence to a traveling wave in the lgarithmic diffusion equation with a bistable nonlinearity

Hiroshi Matsuzawa, Harunori Monobe, Masahiko Shimojo, Eiji Yanagida

Indiana University Mathematics Journal 71(1) 125-151 2022 Peer-reviewed

Stabilization to a positive equilibrium for some reaction–diffusion systems

Jong-Shenq Guo, Masahiko Shimojo

Nonlinear Analysis: Real World Applications 62(103378) 1-12 Dec, 2021 Peer-reviewed

Recent developments on a singular predator-prey model

Yu-Shuo Chen, Jong-Shenq Guo, Masahiko Shimojo

Discrete and Continuous Dynamical Systems-B 26(4) 1797-1809 Apr, 2021 Peer-reviewed

Asymptotic spreading speeds for a predator–prey system with two predators and one prey
Arnaud Ducrot, Thomas Giletti, Jong-Shenq Guo, Masahiko Shimojo

Nonlinearity 34(2) 669-704 Jan, 2021 Peer-reviewed

The spreading speed of an SIR epidemic model with nonlocal dispersal

Jong-Shenq Guo, Amy Ai Ling Poh, Masahiko Shimojo

Asymptotic Analysis 120(1-2) 163 – 174 Oct 6, 2020 Peer-reviewed

Total blow-up of a quasilinear heat equation with slow-diffusion for non-decaying initial data

Amy Poh Ai Ling, Masahiko Shimojō

Mathematica Bohemica 144(3) 287 – 297 Oct 1, 2019 Peer-reviewed

Blow-up of radially symmetric solutions for a semilinear heat equation on hyperbolic space

Masahiko Shimojo

Revista Matemática Complutense 32(3) 655 – 680 Sep, 2019 Peer-reviewed

Asymptotic behaviors of solutions to a reaction–diffusion equation with isochronous nonlinearity

Ai Ling Amy Poh, Masahiko Shimojo

Journal of Mathematical Analysis & Applications 462(2) 1099 – 1108 Jun 15, 2018 Peer-reviewed

Spatio-temporal oscillation for a singular predator–prey model

Jong-Shenq Guo, Masahiko Shimojo

Journal of Mathematical Analysis & Applications 459(1) 1 – 9 Mar 1, 2018 Peer-reviewed

Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source

Masahiko Shimojo, Peter Takáč, Eiji Yanagida

Mathematische Annalen 372(1-2) 1 – 21 Oct 22, 2017 Peer-reviewed

Behaviors of Solutions for a Singular Prey–Predator Model and its Shadow System

Arnaud Ducrot, Jong-Shenq Guo, Masahiko Shimojo

Journal of Dynamics and Differential Equations 30(3) 1 – 17 Mar 24, 2017 Peer-reviewed

On a Free Boundary Problem for the Curvature Flow with Driving Force

Jong-Shenq Guo, Hiroshi Matano, Masahiko Shimojo, Chang-Hong Wu

Archive for Rational Mechanics and Analysis 219(3) 1207 – 1272 Mar, 2016 Peer-reviewed

Exponential stability of a traveling wave for an area preserving curvature motion with two endpoints moving freely on a line

Masahiko Shimojo, Takashi Kagaya

Asymptotic Analysis 96(2) 109 – 134 2016 Peer-reviewed

Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity

Jong-Shenq Guo, Hirokazu Ninomiya, Masahiko Shimojo, Eiji Yanagida

Transactions of the American Mathematical Society 365(5) 2447 – 2467 May, 2013 Peer-reviewed

Blow-up for a reaction-diffusion equation with variable coefficient

Jong-Shenq Guo, Chang-Shou Lin, Masahiko Shimojo

Applied Mathematics Letters 26(1) 150 – 153 Jan, 2013 Peer-reviewed

Blow-Up at Space Infinity for Solutions of Cooperative Reaction-Diffusion Systems

Masahiko Shimojo, Noriaki Umeda

Funkcialaj Ekvacioj-Serio Internacia 54(2) 315 – 334 Aug, 2011 Peer-reviewed

Blow-up for Parabolic Equations and Systems with Nonnegative Potential

Yung-Jen Lin Guo, Masahiko Shimojo

Taiwanese Journal of Mathematics 15(3) 995 – 1005 Jun, 2011 Peer-reviewed

Blowing up at zero points of potential for an initial boundary value problem

Jong-Shenq Guo, Masahiko Shimojo

Communications on Pure & Applied Analysis 10(1) 161 – 177 Jan, 2011 Peer-reviewed

Blow-up behavior for a parabolic equation with spatially dependent coefficient

Jong-shenq Guo, Chang-shou Lin, Masahiko Shimojo

Dynamic Systems and Applications 19(3-4) 415 – 433 Sep, 2010 Peer-reviewed

The global profile of blow-up at space infinity in semilinear heat equations

Masahiko Shimojo

Journal of Mathematics of Kyoto University 48(2) 339 – 361 2008 Peer-reviewed