Global existence and blow-up for nonautonomous systems with non-local symmetric generators and Dirichlet conditions

DOI10.7153/DEA-07-15zbMath1348.60121OpenAlexW2508181148MaRDI QIDQ3455481

Aroldo Pérez

Publication date: 4 December 2015

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/dea-07-15.pdf

zbMATH Keywords

Dirichlet probleminfinitesimal generatorfinite-time blow upMarkov evolution systemssemilinear nonautonomous equationsultracontractive semigroupjump-type process

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Stable stochastic processes (60G52) Transition functions, generators and resolvents (60J35) Blow-up in context of PDEs (35B44)

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A Criterion for Blow Up in Finite Time of a System of 1-Dimensional Reaction-Diffusion Equations ⋮ Global solutions and blowing-up solutions for a nonautonomous and nonlocal in space reaction-diffusion system with Dirichlet boundary conditions ⋮ Blow up of fractional reaction-diffusion systems with and without convection terms

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