Reaction-diffusion problems under non-local boundary conditions with blow-up solutions

DOI10.1186/1029-242X-2014-167WikidataQ59395237 ScholiaQ59395237MaRDI QIDQ2405620

Monica Marras, Stella Vernier Piro

Publication date: 26 September 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

blow-upnonlinear parabolic equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (14)

Asymptotic properties of blow-up solutions in reaction-diffusion equations with nonlocal boundary flux ⋮ On global existence of solutions of initial boundary value problem for a system of semilinear parabolic equations with nonlinear nonlocal Neumann boundary conditions ⋮ Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition ⋮ Blow-up analysis for heat equation with a nonlocal weighted exponential boundary flux ⋮ Unnamed Item ⋮ Estimates on blow-up time of a parabolic system with nonlinear boundary flux ⋮ Blow-up phenomena for a reaction-diffusion equation with nonlocal gradient terms ⋮ Global existence and blow-up of solutions of nonlinear nonlocal parabolic equation with absorption under nonlinear nonlocal boundary condition ⋮ Blow-up estimate in a reaction-diffusion equation with nonlinear nonlocal flux and source ⋮ Blow-up solutions for reaction diffusion equations with nonlocal boundary conditions ⋮ Dynamic properties of the \(p\)-Laplacian reaction-diffusion equation in multi-dimensional space ⋮ Blow-up solution of a porous medium equation with nonlocal boundary conditions ⋮ Blow-up phenomena for p-Laplacian parabolic equations under nonlocal boundary conditions ⋮ Blowup time estimates for the heat equation with a nonlocal boundary condition

Cites Work

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• Lower bounds for blow-up time in parabolic problems under Neumann conditions
• Nonlocal reaction—diffusion equations and nucleation
• Blow-up in a class of non-linear parabolic problems with time-dependent coefficients under Robin type boundary conditions

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