Boundedness of global solutions of a p-Laplacian evolution equation with a nonlinear gradient term

DOI10.3233/ASY-141263zbMath1321.35097arXiv1209.5023OpenAlexW2138443329MaRDI QIDQ5261131

Amal Attouchi

Publication date: 1 July 2015

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

Full work available at URL: https://arxiv.org/abs/1209.5023

zbMATH Keywords

asymptotic behaviorboundednessLyapunov functional\(p\)-Laplaciangradient term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Blow-up in context of PDEs (35B44)

Related Items (7)

Blowup time estimates for a parabolic \(p\)-Laplacian equation with nonlinear gradient terms ⋮ Asymptotic behavior of global solutions to a class of heat equations with gradient nonlinearity ⋮ Gradient blow-up rates and sharp gradient estimates for diffusive Hamilton-Jacobi equations ⋮ Gradient blowup rate for a viscous Hamilton-Jacobi equation with degenerate diffusion ⋮ Well-posedness and gradient blow-up estimate near the boundary for a Hamilton-Jacobi equation with degenerate diffusion ⋮ Gradient blow-up solution with small initial datum for a Hamilton-Jacobi equation with degenerate diffusion ⋮ Single point gradient blow-up on the boundary for a Hamilton-Jacobi equation with $p$-Laplacian diffusion

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