Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2012; 27(3): 629-644

Printed September 1, 2012

https://doi.org/10.4134/CKMS.2012.27.3.629

Copyright © The Korean Mathematical Society.

A parabolic system with nonlocal boundary conditions and nonlocal sources

Wenjie Gao and Yuzhu Han

Jilin University, Jilin University

Abstract

In this work, the authors study the blow-up properties of solutions to a parabolic system with nonlocal boundary conditions and nonlocal sources. Conditions for the existence of global or blow-up solutions are given. Global blow-up property and precise blow-up rate estimates are also obtained.

Keywords: global existence, blow-up, nonlocal sources, nonlocal boundary conditions, global blow-up, blow-up rate

MSC numbers: 35K40, 35K51