top of page

Book

​

M.Shimojo, 「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, pp. 96, (2016)

“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-, 東京大学数理科学研究科(レクチャーノート10)(pp 248)(学術著書) 東京大学数理科学レクチャーノート,全248ページ (2011)

​

Blow-up at space infinity and criteria for total blow-up in nonlinear heat Equations, PhD Thesis, University of Tokyo, pp. 1-295 (2008)

 

Journal (peer reviewed)

A-L Poh and M. Shimojo, Blow-up of radially symmetric solutions for a semilinear heat equation on Hyperbolic space, Revista Matemtica Complutense, Doi 10.1007/s13163-019- 00302-5, pp. 1–26 (2019)

​

M. Shimojo, P. Takáč, E. Yanagida, "Asymptotic Behavior of Solutions to the Logarithmic Diffusion Equation with a Linear Source",  Mathematische Annalen, vol. 372 pp. 429-449 (2018)

​

A. Ducrot, J. S. Guo, M.Shimojo, "Behaviors of solutions for a singular prey-predator model and its shadow system", Journal of Dynamics and Differential Equations, vol. 30 pp. 1063-1079 (2018)

​

M. Shimojo, Amy Poh Ai Ling, "Asymptotic behaviors of solutions to a reaction–diffusion equation with isochronous nonlinearity", Journal of Mathematical Analysis and Applications, vol. 462, Issue 2, pp. 1099-1108 (2018)

​

J. S. Guo, M. Shimojo "Spatio-temporal oscillation for a singular predator-prey model", Journal of Mathematical Analysis and Applications, vol. 459, Issue 1, pp.1-9 (2018)

​

M. Shimojo, P. Takac, E. Yanagida “Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source”, Mathematische Annalen (2017)

​

A. Ducrot, J-S Guo, and M. Shimojo, “Behaviors of solutions for a singular Prey-Predator model and its shadow system”, Journal of Dynamics and Differential Equations, pp.17 (2017)

​

J.S. Guo, M.Hiroshi, M.Shimojo, C.H. Wu, “On a free boundary problem for the curvature flow with driving force”, Archive for Rational Mechanics and Analysis, vol.219, Issue 3, pp.1207-1272 (2016)

​

M. Shimojo, K. Takashi “Exponential stability of a traveling wave for an area preserving curvature motion with two endpoints moving freely on a line”, Asymptotic Analysis, vol. 96, no. 2, pp. 109-134 (2016)

​

J.S. Guo, H. Ninomiya, M. Shimojo and E. Yanagida, "Convergence and blow-up of solutions for a complex-valued heat equation with a quadratic nonlinearity", Trans. Amer. Math. Soc. 365, 2447-2467  (2013)

​

J.S. Guo, C.S. Lin, M. Shimojo, “Blow-up for a reaction-diffusion equation with variable coefficient”, M, Appl. Math. Lett. 26(1): pp.150-153 (2013)

​

M. Shimojo, N. Umeda, “Blow-up at space infinity for solutions of cooperative reaction-diffusion systems”, Funkcialaj Ekvacioj, 54 315–334 (2011). 


​

J.S. Guo and M. Shimojo, Blowing up at the zero point of potential for an initial boundary value problem, Communication on Pure and Applied Analysis 10-1, Am. Inst. Math. Sci. (AIMS), pp.161-177 (2011)

 

Y.J.L. Guo,M. Shimojo, Blow-up for parabolic equations and system with nonnegative potential, Taiwanese Journal of Mathematics, 15-3, Math. Soc. Repub. China (Taiwan), pp.995-1005 (2011)

 

J.S. Guo , C.S. Lin and M. Shimojo, Blow-up behavior for a parabolic equation with spatially dependent coefficient, Dynamic Systems and Applications, 19-3, Dynamic Atlanta GA 30362-0654, pp.415-434 (2010)

 

M. Shimojo, The global profile of blow-up at space infinity for semilinear heat equations, Journal of Mathematics of Kyoto University 48-2, Kyoto University, pp.339-361 (2008)

Journal (without peer reviewed)

© Since 2013 by Masahiko Shimojo. All rights reserved.

bottom of page