Global existence and blowup for a parabolic equation with a non-local source and absorption

DOI10.1007/s10440-012-9774-3zbMath1270.35248OpenAlexW2087189305WikidataQ61635620 ScholiaQ61635620MaRDI QIDQ1947019

Yanyan Li

Publication date: 11 April 2013

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9774-3

zbMATH Keywords

one space dimensionglobal fast solutionglobal slow solution

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Free boundary problems for PDEs (35R35) General biology and biomathematics (92B05) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)

Related Items (4)

Global existence and blow-up analysis for parabolic equations with nonlocal source and nonlinear boundary conditions ⋮ Global existence and blow-up of positive solutions of a parabolic problem with free boundaries ⋮ Blowup and vanishing of a free boundary problem with a nonlocal reaction term ⋮ Blow-up and asymptotic behavior of solutions for reaction-diffusion equations with free boundaries

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