Regularity results for the porous media equation

DOI10.1007/BF02412006zbMath0428.76074OpenAlexW2103869531MaRDI QIDQ1137479

Emmanuele DiBenedetto

Publication date: 1979

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02412006

zbMATH Keywords

Cauchy problemfiltration equationpolytropic case

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Flows in porous media; filtration; seepage (76S05) A priori estimates in context of PDEs (35B45)

Related Items

Obituary: In memoriam Emmanuele DiBenedetto (1947--2021), On the Regularity Properties for Solutions of the Cauchy Problem for the Porous Media Equation, Phase transitions for nonlinear nonlocal aggregation-diffusion equations, Aronson-Bénilan type estimate and the optimal Hölder continuity of weak solutions for the 1-D degenerate Keller-Segel systems, Local bounds of the gradient of weak solutions to the porous medium equation, Concerning the regularity of the anisotropic porous medium equation, Improved regularity for the porous medium equation along zero level sets, A class of degenerate diffusion equations with a singular nonlinear term, On a system of nonlinear elliptic and degenerate parabolic equations describing compositional water-oil flows in porous media, Degenerate diffusion and the Stefan problem

Cites Work

• Regularity Propeties of Flows Through Porous Media
• DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT
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