The interface blow-up phenomenon and local estimates for doubly degenerate parabolic equations

DOI10.1080/00036810701435711zbMath1129.35044OpenAlexW2164214985WikidataQ58154518 ScholiaQ58154518MaRDI QIDQ5422428

No author found.

Publication date: 19 October 2007

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

Full work available at URL: https://doi.org/10.1080/00036810701435711

zbMATH Keywords

Cauchy problemsfinite speed of propagation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45)

Related Items (33)

Existence of solutions of degenerate parabolic equations with inhomogeneous density and growing data on manifolds ⋮ Asymptotic behavior for the critical nonhomogeneous porous medium equation in low dimensions ⋮ Asymptotic expansion of solutions to the Cauchy problem for doubly degenerate parabolic equations with measurable coefficients ⋮ On the global existence and extinction behavior for a polytropic filtration equation with variable coefficients ⋮ The well-posedness of the solutions based on the \(L^1\) initial value condition ⋮ On long-time dynamics of the solution of doubly nonlinear equation ⋮ Асимптотическое поведение решения дважды вырождающихся параболических уравнений с неоднородной плотностью ⋮ LOCALIZATION OF SOLUTIONS TO A DOUBLY DEGENERATE PARABOLIC EQUATION WITH A STRONGLY NONLINEAR SOURCE ⋮ On the behavior of solutions of the Cauchy problem for a degenerate parabolic equation with source in the case where the initial function slowly vanishes ⋮ Asymptotic behavior for the heat equation in nonhomogeneous media with critical density ⋮ Radial equivalence of nonhomogeneous nonlinear diffusion equations ⋮ Smoothing effects for the porous medium equation on Cartan-Hadamard manifolds ⋮ Local and global existence for quasilinear parabolic systems with a strongly nonlinear source ⋮ Large time behavior for a porous medium equation in a nonhomogeneous medium with critical density ⋮ Critical exponent for a quasilinear parabolic equation with inhomogeneous density in a cone ⋮ Interfaces in diffusion-absorption processes in nonhomogeneous media ⋮ COMPLETE BLOW-UP AND ESTIMATE ON THE LOCALIZATION FOR A QUASILINEAR PARABOLIC EQUATION WITH NONLINEAR SOURCE ⋮ Existence and stability of the doubly nonlinear anisotropic parabolic equation ⋮ The stability of the solutions of an anisotropic diffusion equation ⋮ Some properties of solutions for an evolution \(p(x)\)-Laplacian equation ⋮ The blow-up phenomenon for degenerate parabolic equations with variable coefficients and nonlinear source ⋮ Fujita-type theorems for doubly degenerate parabolic equations with a time-weighted source ⋮ Global existence, large time behavior, and life span for a degenerate parabolic equation with inhomogeneous density and source ⋮ The Decay Rate of the Solution to the Cauchy Problem for Doubly Nonlinear Parabolic Equation with Absortion ⋮ On the stability of a non-Newtonian polytropic filtration equation ⋮ Asymptotic properties of solutions to the Cauchy problem for degenerate parabolic equations with inhomogeneous density on manifolds ⋮ Global solvability for quasilinear parabolic equation with inhomogeneous density and a source ⋮ Blow-up phenomena for polytropic equation with inhomogeneous density and source ⋮ Unnamed Item ⋮ Extinction in a Finite Time for Parabolic Equations of Fast Diffusion Type on Manifolds ⋮ Disappearance and global existence of interfaces for a doubly degenerate parabolic equation with variable coefficient ⋮ On a weak solution matching up with the double degenerate parabolic equation ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Existence results for doubly nonlinear higher order parabolic equations on unbounded domains
• A Fujita type result for a degenerate Neumann problem in domains with noncompact boundary
• Disappearance of interfaces in finite time
• On solutions of some doubly nonlinear degenerate parabolic equations with absorption
• Hölder regularity and Harnack inequality for degenerate parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities
• Intermediate asymptotics for inhomogeneous nonlinear heat conduction
• Local Vanishing Properties of Solutions of Elliptic and Parabolic Quasilinear Equations
• Propagation of thermal waves in an inhomogeneous medium
• Non-linear diffusion in a finite mass medium
• Harnack Estimates and Extinction Profile for Weak Solutions of Certain Singular Parabolic Equations
• On the Existence of Solutions of the Cauchy Problem for a Doubly Nonlinear Parabolic Equation
• On Hölder continuity of solutions of doubly nonlinear parabolic equations with weight
• Large time behavior of solutions to the Neumann problem for a quasilinear second order degenerate parabolic equation in domains with noncompact boundary
• Finite speed of propagation for the thin-film equation and other higher-order parabolic equations with general nonlinearity

This page was built for publication: The interface blow-up phenomenon and local estimates for doubly degenerate parabolic equations