Regularity in Sobolev spaces for the fast diffusion and the porous medium equation

DOI10.1016/j.jmaa.2005.01.009zbMath1065.35155OpenAlexW2035305382MaRDI QIDQ555832

Carsten Ebmeyer

Publication date: 10 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.01.009

zbMATH Keywords

weighted Sobolev spacesDifference quotientfractional order Nikolskii spaceshomogeneous Dirichlet boundary valuesSlow diffusion

Mathematics Subject Classification ID

Related Items (12)

Stochastic generalized porous media and fast diffusion equations ⋮ Global existence and blowup solutions for quasilinear parabolic equations ⋮ Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noise ⋮ Optimal regularity in time and space for the porous medium equation ⋮ Optimal regularity for the porous medium equation ⋮ Exponential stability of stochastic generalized porous media equations with jump ⋮ Well-posedness of nonlinear diffusion equations with nonlinear, conservative noise ⋮ Isothermal water flows in low porosity porous media in presence of vapor-liquid phase change ⋮ The approximating character on nonlinearities of solutions of Cauchy problem for a singular diffusion equation ⋮ Nash equilibria in N‐person games with super‐quadratic Hamiltonians ⋮ Long-time behavior for the porous medium equation with small initial energy ⋮ REGULARIZATION SCHEMES FOR DEGENERATE RICHARDS EQUATIONS AND OUTFLOW CONDITIONS

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