Asymptotics for a nonlinear integral equation with a generalized heat kernel

Kazuhiro Ishige; Tatsuki Kawakami; Kanako Kobayashi

doi:10.1007/s00028-014-0237-3

Asymptotics for a nonlinear integral equation with a generalized heat kernel

Kazuhiro Ishige, Tatsuki Kawakami, Kanako Kobayashi

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

This paper is concerned with a nonlinear integral equation(Formula presented.)where(Formula presented.) for some K ≥ 0. Here, G = G(x,t) is a generalization of the heat kernel. We are interested in the asymptotic expansions of the solution of (P) behaving like a multiple of the integral kernel G as t→∞.

Original language	English
Pages (from-to)	749-777
Number of pages	29
Journal	Journal of Evolution Equations
Volume	14
Issue number	4-5
DOIs	https://doi.org/10.1007/s00028-014-0237-3
Publication status	Published - 2014 Jan 1

ASJC Scopus subject areas

Mathematics (miscellaneous)

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