Finite Time Blow Up and Stability of a Semilinear Equation with a Time Dependent Lévy Generator

DOI10.1080/15326340600878636zbMath1122.35049OpenAlexW2052223366MaRDI QIDQ3424148

Aroldo Perez-Perez, Jose Alfredo Lopez Mimbela

Publication date: 15 February 2007

Published in: Stochastic Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/15326340600878636

zbMATH Keywords

global solutionsevolution systemsstrong Markov processLévy generatorblow up of semilinear equations

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Markov semigroups and applications to diffusion processes (47D07) Initial value problems for second-order parabolic equations (35K15) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

Global solutions and blowing-up solutions for a nonautonomous and nonlocal in space reaction-diffusion system with Dirichlet boundary conditions, Global and nonglobal solutions of a system of nonautonomous semilinear equations with ultracontractive Lévy generators, Blow up of fractional reaction-diffusion systems with and without convection terms, Blow up of solutions of a nonlinear anomalous reaction-diffusion system, Existence of global solutions of a nonautonomous semilinear equation with varying reaction

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