Functional inequalities involving nonlocal operators on complete Riemannian manifolds and their applications to the fractional porous medium equation
DOI10.3934/eect.2021026zbMath1490.35208arXiv2009.06744OpenAlexW3086207414WikidataQ115219107 ScholiaQ115219107MaRDI QIDQ2136249
Nikolaos Roidos, Yuanzhen Shao
Publication date: 10 May 2022
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.06744
Riemannian manifoldsnonlinear nonlocal diffusionfractional porous medium equationfunctional inequalities for fractional Laplaciannonlocal logarithmic Sobolev inequality
Flows in porous media; filtration; seepage (76S05) Fractional derivatives and integrals (26A33) Degenerate parabolic equations (35K65) Functional inequalities, including subadditivity, convexity, etc. (39B62) Fractional partial differential equations (35R11) Singular parabolic equations (35K67) Quasilinear parabolic equations (35K59) PDEs on manifolds (35R01)
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