The fractional porous medium equation on manifolds with conical singularities. I

DOI10.1007/s00028-022-00784-9zbMath1485.35405arXiv1908.06915OpenAlexW4214526455MaRDI QIDQ2115102

Yuanzhen Shao, Nikolaos Roidos

Publication date: 15 March 2022

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06915

zbMATH Keywords

\(R\)-sectoriality of fractional powers of \(R\)-sectorial operatorsfreezing-of-coefficients method

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Fractional partial differential equations (35R11) Quasilinear parabolic equations (35K59) PDEs on manifolds (35R01)

Related Items (2)

Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation ⋮ The fractional porous medium equation on manifolds with conical singularities II

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