Anisotropic diffusions with singular advections and absorptions. I: Existence

DOI10.1016/S0893-9659(01)00049-0zbMath0987.35093OpenAlexW4210530468MaRDI QIDQ5950589

Bin-Heng Song

Publication date: 2 January 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(01)00049-0

zbMATH Keywords

boundary continuityquasilinear degenerate parabolic equation in divergence form

Mathematics Subject Classification ID

Related Items (13)

Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation ⋮ The well-posedness problem of an anisotropic porous medium equation with a convection term ⋮ Multiple solutions for a class of anisotropic \(\vec{p}\)-Laplacian problems ⋮ Anisotropic fast diffusion equations ⋮ On some nonlinear elliptic problems in anisotropic Orlicz-Sobolev spaces ⋮ Localization of solutions of anisotropic parabolic equations ⋮ Concerning the regularity of the anisotropic porous medium equation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Solutions of the anisotropic porous medium equation in \(\mathbb R^n\) under an \(L^1\)-initial value ⋮ Anisotropic diffusions with singular advections and absorptions. II: Uniqueness ⋮ Propagation property for anisotropic nonlinear diffusion equation with convection ⋮ Fundamental solution of the anisotropic porous medium equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and uniqueness of weak solutions of uniformly degenerate quasilinear parabolic equations
• A boundary modulus of continuity for a class of singular parabolic equations
• The occurrence of interfaces in nonlinear diffusion-advection processes
• Large time behaviour of solutions of the porous medium equation in bounded domains
• Quasilinear elliptic-parabolic differential equations
• On the homogenization of degenerate parabolic equations
• Regularity properties of flows through porous media: The interface
• On the Cauchy Problem and Initial Traces for a Degenerate Parabolic Equation
• The Asymptotic Behavior of Gas in an n-Dimensional Porous Medium
• Anisotropic diffusions with singular advections and absorptions. II: Uniqueness

This page was built for publication: Anisotropic diffusions with singular advections and absorptions. I: Existence