The Neumann and Dirichlet problems for the total variation flow in metric measure spaces

DOI10.1515/acv-2021-0107arXiv2105.11424OpenAlexW3165277209WikidataQ114007268 ScholiaQ114007268MaRDI QIDQ6146300

José M. Mazón Ruiz, Wojciech Górny

Publication date: 10 January 2024

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11424

zbMATH Keywords

nonsmooth analysisentropy solutionsgradient flowsmetric measure spacestotal variation flowGauss-Green formula

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Abstract parabolic equations (35K90) Variational principles in infinite-dimensional spaces (58E30) Existence theories for problems in abstract spaces (49J27) Quasilinear parabolic equations with (p)-Laplacian (35K92) Analysis on metric spaces (30L99) Sobolev (and similar kinds of) spaces of functions on metric spaces; analysis on metric spaces (46E36)

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