Fast diffusion on noncompact manifolds: Well-posedness theory and connections with semilinear elliptic equations

DOI10.1090/tran/8431zbMath1471.35285arXiv2003.12446OpenAlexW3137560215WikidataQ125774760 ScholiaQ125774760MaRDI QIDQ5009310

Fabio Punzo, Gabriele Grillo, Matteo Muratori

Publication date: 20 August 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.12446

zbMATH Keywords

stochastic completenesscurvature bound

Mathematics Subject Classification ID

Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Semilinear elliptic equations (35J61) Singular parabolic equations (35K67) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01)

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