Global existence and blow-up phenomena for divergence form parabolic equation with time-dependent coefficient in multidimensional space

DOI10.1007/s00033-019-1195-yzbMath1423.35175OpenAlexW2972486366WikidataQ127238450 ScholiaQ127238450MaRDI QIDQ2327876

Jian-Zhong Zhang, Fu Shan Li

Publication date: 8 October 2019

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-019-1195-y

zbMATH Keywords

global existenceblow upmultidimensional spaceinhomogeneous Neumann boundary conditiondivergence form parabolic problems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (5)

Blow-up phenomena in reaction-diffusion problems with nonlocal and gradient terms ⋮ Sufficient conditions and bounds estimate of blow-up time for a fourth order parabolic equation ⋮ Optimized uniform decay estimate of the solution to Petrovsky equation with memory ⋮ Dynamic properties of the \(p\)-Laplacian reaction-diffusion equation in multi-dimensional space ⋮ Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system

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