The porous medium equation with measure data on negatively curved Riemannian manifolds

DOI10.4171/JEMS/824zbMath1400.35153arXiv1507.08883OpenAlexW2963064872WikidataQ115212321 ScholiaQ115212321MaRDI QIDQ1990883

Gabriele Grillo, Fabio Punzo, Matteo Muratori

Publication date: 25 October 2018

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.08883

zbMATH Keywords

superharmonic functions porous medium equation Green function smoothing effect Sobolev inequalities nonlinear diffusion equations asymptotics of solutions potential analysis

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Potential theory on Riemannian manifolds and other spaces (31C12) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Quasilinear parabolic equations (35K59) PDEs on manifolds (35R01) PDEs with measure (35R06)

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