On blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy

DOI10.1016/j.aml.2013.05.001OpenAlexW2002077682MaRDI QIDQ2339087

Hua Wang, Yijun He

Publication date: 30 March 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2013.05.001

zbMATH Keywords

blow-uppositive initial energyvariable reaction

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items (11)

Sharp threshold for blow-up and global existence in a semilinear parabolic equation with variable source ⋮ Blow-up solutions, global existence, and exponential decay estimates for second order parabolic problems ⋮ Bounds for below-up time in a nonlinear generalized heat equation ⋮ Upper bounds of blow-up time and blow-up rate for a semi-linear edge-degenerate parabolic equation ⋮ Global existence and blow-up of solutions to a class of nonlocal parabolic equations ⋮ A semilinear parabolic problem with variable reaction on a general domain ⋮ Blow-up of solutions for a class of nonlinear pseudoparabolic equations with a memory term ⋮ Global existence and blow-up of solutions for a non-Newton polytropic filtration system with special volumetric moisture content ⋮ Upper bound estimate for the blow-up time of an evolution \(m\)-Laplace equation involving variable source and positive initial energy ⋮ Unnamed Item ⋮ Rigorous numerical inclusion of the blow-up time for the Fujita-type equation

Cites Work

• Unnamed Item
• Lebesgue and Sobolev spaces with variable exponents
• Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
• Blow-up of the solution for a \(p\)-Laplacian equation with positive initial energy
• Blow-up of solutions to parabolic equations with nonstandard growth conditions
• Regularity results for stationary electro-rheological fluids
• Semilinear parabolic equations with prescribed energy
• Blow-up of solutions for a semilinear parabolic equation involving variable source and positive initial energy
• Critical exponents for a semilinear parabolic equation with variable reaction

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