Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation-Reference-Cited by-同舟云学术

Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation

Published:2020-07-28 Issue:1 Volume:10 Page:261-288
ISSN:2191-950X
Container-title:Advances in Nonlinear Analysis
language:en
Short-container-title:

Author:

Wang Xingchang¹,Xu Runzhang¹²

Affiliation:

1. College of Automation , Harbin Engineering University , 150001 , Harbin , People’s Republic of China

2. College of Mathematical Sciences , Harbin Engineering University , 150001 , Harbin , People’s Republic of China

Abstract

Abstract In this paper, the initial boundary value problem for a nonlocal semilinear pseudo-parabolic equation is investigated, which was introduced to model phenomena in population dynamics and biological sciences where the total mass of a chemical or an organism is conserved. The existence, uniqueness and asymptotic behavior of the global solution and the blowup phenomena of solution with subcritical initial energy are established. Then these results are extended parallelly to the critical initial energy. Further the blowup phenomena of solution with supercritical initial energy is proved, but the existence, uniqueness and asymptotic behavior of the global solution with supercritical initial energy are still open.

Publisher

Walter de Gruyter GmbH

Subject

Analysis

Link

https://www.degruyter.com/document/doi/10.1515/anona-2020-0141/pdf

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