Hiroshi Matano

J-GLOBAL         Last updated: May 21, 2019 at 10:45
 
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Name
Hiroshi Matano
Affiliation
Meiji University
Research funding number
40126165

Research Areas

 
 

Published Papers

 
H. Matano, Y. Mori, M. Nara
Annales de l'Institut Henri Poincaré C, Analyse non linéaire   36(3) 585-626   May 2019   [Refereed]
N. Vassena, H. Matano
Mathematical Methods in the Applied Sciences   40(18) 7722-7736   Aug 2017   [Refereed]
H. Matano, P. Poláčik
Journal of Functional Analysis   272(5) 1956-1979   Mar 2017   [Refereed]
© 2016 Elsevier Inc. We consider semilinear parabolic equations of the form ut=uxx+f(u),x∈R,t∈I, where I=(0,∞) or I=(−∞,∞). Solutions defined for all (x,t)∈R2are referred to as entire solutions. Assuming that f∈C1(R) is of a bistable type with sta...
Marek Fila, Hiroshi Matano, Eiji Yanagida
Springer Proceedings in Mathematics and Statistics   205 138-148   Jan 2017   [Refereed]
© Springer International Publishing AG 2017. We construct new examples of non-uniqueness of positive solutions of the Cauchy problem for the Fujita equation. The solutions we find are not self-similar and some of them blow up in finite time. Heter...
Yoichiro Mori, Hiroshi Matano
Communications on Pure and Applied Mathematics   69(12) 2364-2426   Dec 2016   [Refereed]
© 2016 Wiley Periodicals, Inc. The bidomain model is the standard model describing electrical activity of the heart. Here we study the stability of planar front solutions of the bidomain equation with a bistable nonlinearity (the bidomain Allen-Ca...

Misc

 
M. Alfaro, D. Antonopoulou, G. Karali and H. Matano
arXiv preprint      Dec 2018
We study an Tex-dependent stochastic Allen--Cahn equation with a mild
random noise on a bounded domain in Tex, Tex. Here Tex is a
small positive parameter that represents formally the thickness of the solution
interface, while...
WeiweiDing, Hiroshi Matano
arXiv preprint      Jul 2018
This paper is concerned with the asymptotic behavior of bounded solutions of
the Cauchy problem \begin{equation*} \left\{ \begin{array}{ll} u_t=u_{xx}
+f(t,u), & x\in\mathbb{R},\,t>0,\\ u(x,0)= u_0, & x\in\mathbb{R},
\end{array}\right. \end{equati...
Peter Bates, Danielle Hilhorst, Hiroshi Matano, Yoshihisa Morita
Discrete and Continuous Dynamical Systems- Series A   37    Feb 2017
Arnaud Ducrot, Thomas Giletti, Hiroshi Matano
   Mar 2012
We consider one-dimensional reaction-diffusion equations for a large class of
spatially periodic nonlinearities (including multistable ones) and study the
asymptotic behavior of solutions with Heaviside type initial data. Our analysis
reveals some...

Conference Activities & Talks

 
Propagation of bistable fronts through a perforated wall [Invited]
Hiroshi Matano
Reaction-Diffusion Equations, Modelling and Social Sciences   Dec 2018   フランス社会科学高等研究院 (EHESS)
Front propagation in the presence of obstacles [Invited]
Hiroshi Matano
Recent trends on nonlinear PDEs of elliptic and parabolic type   Nov 2018   
Propagation of bistable fronts through a perforated wall [Invited]
Hiroshi Matano
Interacting Particle Systems and Parabolic PDEs   Aug 2018   
Front propagation in an epidemiological model with mutations [Invited]
Hiroshi Matano
Recent Progresses in Mathematical Theories in Biological Phenomena   Oct 2018   
Front propagation in an epidemiological model with mutations [Invited]
Hiroshi Matano
第43回偏微分方程式札幌シンポジウム   Aug 2018