Solutions of the anisotropic porous medium equation in \(\mathbb R^n\) under an \(L^1\)-initial value

DOI10.1016/J.NA.2005.08.006zbMath1100.35059arXivmath/0611910OpenAlexW1605542859MaRDI QIDQ2492491

Bin-Heng Song, Huai-Yu Jian

Publication date: 9 June 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0611910

zbMATH Keywords

comparison principlelarge time behavioranisotropic diffusionscaling technique

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

Riesz potentials and pointwise estimates of solutions to anisotropic porous medium equation ⋮ Anisotropic fast diffusion equations ⋮ Unnamed Item ⋮ Propagation property for anisotropic nonlinear diffusion equation with convection

Cites Work

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• Degenerate parabolic equations
• On the uniformization of the solutions of the porous medium equation in \(R^ N\)
• Regularity properties of flows through porous media: The interface
• Fundamental solution of the anisotropic porous medium equation
• Anisotropic diffusions with singular advections and absorptions. I: Existence
• Anisotropic diffusions with singular advections and absorptions. II: Uniqueness

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