2 papers
math.AP2025
Front propagation on a general metric graph
Hiroshi Matano, Shuichi Jimbo
We consider a bistable reaction-diffusion equation on a metric graph that is a generalization of the so-called star graphs. More precisely, our graph consists of a bounded fini…
math.AP2008
Exponential decay phenomenon of the principal eigenvalue of an elliptic operator with a large drift term of gradient type
Shuichi Jimbo, Masato Kimura, Hirofumi Notsu
We study an asymptotic behaviour of the principal eigenvalue for an elliptic operator with large advection which is given by a gradient of a potential function. It is shown that th…