Extinction and decay estimates of solutions for a \(p\)-Laplacian evolution equation with nonlinear gradient source and absorption

DOI10.1186/1687-2770-2014-39zbMath1304.35388OpenAlexW2006524414WikidataQ59324282 ScholiaQ59324282MaRDI QIDQ468508

Xianghui Xu, Zhong Fang

Publication date: 7 November 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2014-39

zbMATH Keywords

extinctionnonextinction

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (3)

Decay estimate and non-extinction of solutions of \(p\)-Laplacian nonlocal heat equations ⋮ A complete characterization of nonlinear absorption for the evolution \(p\)-Laplacian equations to have positive or extinctive solutions ⋮ Extinction for a p-Laplacian equation with gradient source and nonlinear boundary condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extinction and nonextinction for the fast diffusion equation
• Positivity, decay, and extinction for a singular diffusion equation with gradient absorption
• Degenerate parabolic equations
• Extinction and decay estimates of solutions for a class of doubly degenerate equations
• Extinction and non-extinction for a \(p\)-Laplacian equation with nonlinear source
• Extinction behavior of solutions for the \(p\)-Laplacian equations with nonlocal sources
• Extinction and decay estimates of solutions for a porous medium equation with nonlocal source and strong absorption
• Extinction and positivity for the evolution \(p\)-Laplacian equation with \(L^1\) initial value
• On a familiy of torsional creep problems.
• Diffusion of Fluid in a Fissured Medium with Microstructure
• The propagation of disturbances in problems of non-linear heat conduction with absorption
• Singular degenerate parabolic equations with applications
• Critical extinction and blow‐up exponents for fast diffusive p‐Laplacian with sources

This page was built for publication: Extinction and decay estimates of solutions for a \(p\)-Laplacian evolution equation with nonlinear gradient source and absorption