Smoothness and long time existence for solutions of the porous medium equation on manifolds with conical singularities

DOI10.1080/03605302.2018.1517788zbMath1409.35122arXiv1708.07542OpenAlexW2964269781WikidataQ128384824 ScholiaQ128384824MaRDI QIDQ4628880

Elmar Schrohe, Nikolaos Roidos

Publication date: 25 March 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07542

zbMATH Keywords

porous medium equationsmoothing effectmaximal regularityconical singularitieslong time existence

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Quasilinear parabolic equations (35K59) PDEs on manifolds (35R01)

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Smoothness and long time existence for solutions of the Cahn-Hilliard equation on manifolds with conical singularities ⋮ Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence* ⋮ Conic manifolds under the Yamabe flow ⋮ The fractional porous medium equation on manifolds with conical singularities II ⋮ The fractional porous medium equation on the hyperbolic space ⋮ Expanding solutions of quasilinear parabolic equations ⋮ Bounded \(H_\infty\)-calculus for boundary value problems on manifolds with conical singularities ⋮ The fractional porous medium equation on manifolds with conical singularities. I

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