2000 Global existence of solutions of semilinear parabolic evolution equations
Adrian Constantin, Szymon Peszat
Differential Integral Equations 13(1-3): 99-114 (2000). DOI: 10.57262/die/1356124291

Abstract

Criteria for non-explosion of solutions to semilinear parabolic evolution equations on Banach spaces are given. The abstract results are applied to classical semilinear parabolic equations: heat equation with first order nonlinear perturbations, fourth order Cahn-Hilliard, FitzHugh-Nagumo system.

Citation

Download Citation

Adrian Constantin. Szymon Peszat. "Global existence of solutions of semilinear parabolic evolution equations." Differential Integral Equations 13 (1-3) 99 - 114, 2000. https://doi.org/10.57262/die/1356124291

Information

Published: 2000
First available in Project Euclid: 21 December 2012

zbMATH: 1038.35025
MathSciNet: MR1811950
Digital Object Identifier: 10.57262/die/1356124291

Subjects:
Primary: 35K55
Secondary: 35K15 , 35K90

Rights: Copyright © 2000 Khayyam Publishing, Inc.

Vol.13 • No. 1-3 • 2000
Back to Top