Extinction in finite time of solutions to degenerate parabolic equations with nonlinear boundary conditions

DOI10.1006/JMAA.2000.6812zbMath0966.35070OpenAlexW1972515865MaRDI QIDQ1577943

Su Ning

Publication date: 27 August 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6812

zbMATH Keywords

strong absorptionnonlinear boundary fluxfast diffusionabsorption on the boundaryinterior absorptionnonlinear diffusion-absorption equation

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items (8)

A complete characterization of extinction versus positivity of solutions to a parabolic problem of \(p\)-Laplacian type in graphs ⋮ Existence and localization of weak solutions of nonlinear parabolic equations with variable exponent of nonlinearity ⋮ Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup ⋮ Well-posedness and long time behavior for \(p\)-Laplacian equation with nonlinear boundary condition ⋮ A complete characterization of nonlinear absorption for the evolution \(p\)-Laplacian equations to have positive or extinctive solutions ⋮ Nonlinear degenerate parabolic equations with Neumann boundary condition ⋮ Extinction and decay estimates of solutions for a class of doubly degenerate equations ⋮ Extinction for a p-Laplacian equation with gradient source and nonlinear boundary condition

Cites Work

• Quasilinear elliptic-parabolic differential equations
• Extinction in finite time of solutions to nonlinear absorption-diffusion equations
• Nonlinear Heat Conduction with Absorption: Space Localization and Extinction in Finite Time
• Finite extinction time for a class of non-linear parabolic equations
• Implicit Degenerate Evolution Equations and Applications
• The propagation of disturbances in problems of non-linear heat conduction with absorption
• Finite extinction time for nonlinear parabolic equations with nonlinear mixed boundary data
• Finite extinction time for solutions of nonlinear parabolic equations
• Finite extinction time for a nonlinear parabolic neumann boundary value problem

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