Bounds for below-up time in a nonlinear generalized heat equation

DOI10.1080/00036811.2020.1789597zbMath1487.35127OpenAlexW3041403602MaRDI QIDQ5072922

Abita Rahmoune

Publication date: 5 May 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1789597

zbMATH Keywords

blow-upblow-up timepositive initial energySobolev spaces with variable exponentsevolution heat equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (3)

Lower and upper bounds for the blow-up time for a thin-film equation with variable exponent in the reaction term ⋮ Blow-up phenomenon for a semilinear pseudo-parabolic equation involving variable source ⋮ Blow-up phenomena for a p(x)-biharmonic heat equation with variable exponent

Cites Work

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• On blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
• A blow-up result for nonlinear generalized heat equation
• Critical exponents for a semilinear parabolic equation with variable reaction
• The existence of solutions for elliptic systems with nonuniform growth
• Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\)

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