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
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
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