A note on blow up of solutions of a quasilinear heat equation with vanishing initial energy.

DOI10.1016/S0022-247X(02)00220-2zbMath1121.35323OpenAlexW2112188371MaRDI QIDQ1856833

Messaoudi A. Salim

Publication date: 11 February 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00220-2

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Initial-boundary value problems for second-order parabolic equations (35K20)

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Cites Work

• Gradient estimates for a quasilinear parabolic equation of the mean curvature type
• Gradient estimates of periodic solutions for some quasilinear parabolic equations
• Global existence and nonexistence theorems for quasilinear evolution equations of formally parabolic type
• Blow-up of solutions to quasilinear parabolic equations
• Global existence and gradient estimates for the quasilinear parabolic equations of \(m\)-Laplacian type with a nonlinear convection term
• Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)

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