Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime-Reference-Cited by-同舟云学术

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Asymptotic behaviors of global solutions for a semilinear diffusion equation in the de Sitter spacetime

Published:2021-10-06 Issue:3-4 Volume:125 Page:203-245
ISSN:1875-8576
Container-title:Asymptotic Analysis
language:
Short-container-title:ASY

Author:

Nakamura Makoto¹,Takeda Hiroshi²

Affiliation:

1. Faculty of Science, Yamagata University, Kojirakawa-machi 1-4-12, Yamagata 990-8560, Japan. E-mail: nakamura@sci.kj.yamagata-u.ac.jp

2. Department of Intelligent Mechanical Engineering, Faculty of Engineering, Fukuoka Institute of Technology, 3-30-1 Wajiro-higashi, Higashi-ku, Fukuoka 811-0295, Japan. E-mail: h-takeda@fit.ac.jp

Abstract

A semilinear diffusion equation is considered in the de Sitter spacetime with the spatially flat curvature. Global solutions for small initial data and their asymptotic behaviors in high order are obtained. Some effects of the spatial expansion and contraction are studied through the problem.

Publisher

IOS Press

Subject

General Mathematics

Reference26 articles.

1. Wave and Klein–Gordon equations on hyperbolic spaces;Anker;Anal. PDE,2014

2. The wave equation on hyperbolic spaces;Anker;J. Differ. Equations,2012

3. Strichartz estimates on asymptotically de Sitter spaces;Baskin;Ann. Henri Poincaré,2013

4. de Sitter tachyons and related topics;Epstein;Commun. Math. Phys.,2015

5. Asymptotic profiles of nonstationary incompressible Navier–Stokes flows in the whole space;Fujigaki;SIAM J. Math. Anal.,2001

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