Critical exponents and non-extinction for a fast diffusive polytropic filtration equation with nonlinear boundary sources

DOI10.1016/j.na.2006.08.037zbMath1145.35332OpenAlexW2073072689MaRDI QIDQ2373856

Chunhua Jin, Jingxue Yin

Publication date: 16 July 2007

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.2006.08.037

zbMATH Keywords

blow-upquasilinear parabolic equationglobal existencenon-extinction

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Critical exponents in context of PDEs (35B33)

Related Items (11)

GLOBAL EXISTENCE AND BLOW-UP FOR A DOUBLY DEGENERATE PARABOLIC EQUATION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS ⋮ Asymptotic behavior of solutions to fast diffusive non-Newtonian filtration equations coupled by nonlinear boundary sources ⋮ Quenching for a non-Newtonian filtration equation with a singular boundary condition ⋮ Critical exponents for nonlinear diffusion equations with nonlinear boundary sources ⋮ Critical curves for fast diffusive polytropic filtration equations coupled through boundary ⋮ Critical exponents for a fast diffusive polytropic filtration equation with nonlinear boundary flux ⋮ Global existence and nonexistence for diffusive polytropic filtration equations with nonlinear boundary conditions ⋮ Global existence and nonexistence of the non-Newtonian polytropic filtration equations coupled with nonlinear boundary conditions ⋮ On blow-up of solution of nonhomogeneous polytropic equation with source ⋮ Blow-up phenomena for polytropic equation with inhomogeneous density and source ⋮ On the Properties of Solutions of Multidimensional Nonlinear Filtration Problem with Variable Density and Nonlocal Boundary Condition in the Case of Fast Diffusion

Cites Work

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• On critical exponents for the heat equation with a mixed nonlinear Dirichlet-Neumann boundary condition
• The blow-up profile for a fast diffusion equation with a nonlinear boundary condition
• On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
• The role of critical exponents in blow-up theorems: The sequel
• On critical exponents for the heat equation with a nonlinear boundary condition
• Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions
• Fast-slow diffusion systems with nonlinear boundary conditions

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