Differential and Integral Equations

Global existence of solutions of semilinear parabolic evolution equations

Adrian Constantin and Szymon Peszat

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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.

Article information

Differential Integral Equations, Volume 13, Number 1-3 (2000), 99-114.

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K55: Nonlinear parabolic equations
Secondary: 35K15: Initial value problems for second-order parabolic equations 35K90: Abstract parabolic equations


Constantin, Adrian; Peszat, Szymon. Global existence of solutions of semilinear parabolic evolution equations. Differential Integral Equations 13 (2000), no. 1-3, 99--114. https://projecteuclid.org/euclid.die/1356124291

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