Non-extinction and critical exponent for a polytropic filtration equation
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Publication:1021730
DOI10.1016/J.NA.2008.10.082zbMath1173.35346OpenAlexW2017730392MaRDI QIDQ1021730
Chunhua Jin, Jingxue Yin, Jing Li
Publication date: 9 June 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.10.082
Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Critical exponents in context of PDEs (35B33)
Related Items (16)
Extinction of solutions to a diffusion problem with nonlinear sources and variable density ⋮ Extinction behavior of solutions for the \(p\)-Laplacian equations with nonlocal sources ⋮ Extinction for a fast diffusion equation with a nonlinear nonlocal source ⋮ Critical extinction exponents for a fast diffusion equation with nonlocal source and absorption ⋮ A class of nonlinear parabolic equations with anisotropic nonstandard growth conditions ⋮ Global existence and blow-up solution for doubly degenerate parabolic system with nonlocal sources and inner absorptions ⋮ Critical extinction exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption ⋮ Extinction and non-extinction for a polytropic filtration equation with a nonlocal source ⋮ A complete characterization of nonlinear absorption for the evolution \(p\)-Laplacian equations to have positive or extinctive solutions ⋮ Extinction properties of solutions for a class of fast diffusive \(p\)-Laplacian equations ⋮ Blow-up versus extinction in a nonlocal \(p\)-Laplace equation with Neumann boundary conditions ⋮ Extinction of solutions to a class of fast diffusion systems with nonlinear sources ⋮ Blow-up of solutions for the non-Newtonian polytropic filtration equation with a generalized source ⋮ Extinction and decay estimates of solutions for the \(p\)-Laplacian equations with nonlinear absorptions and nonlocal sources ⋮ Blow-up phenomena for a doubly degenerate equation with positive initial energy ⋮ EXTINCTION AND NON-EXTINCTION OF SOLUTIONS TO A P-LAPLACE EQUATION WITH A NONLOCAL SOURCE AND AN ABSORPTION TERM
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