Heat flow with Dirichlet boundary conditions via optimal transport and gluing of metric measure spaces

DOI10.1007/s00526-020-01774-wzbMath1439.35186arXiv1809.00936OpenAlexW3038011146WikidataQ125672166 ScholiaQ125672166MaRDI QIDQ776033

Angelo Profeta, Karl-Theodor Sturm

Publication date: 30 June 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00936

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Heat equation (35K05) Metric geometry (51F99) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Convergence of probability measures (60B10) Boundary value problems on manifolds (58J32) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Potential theory on fractals and metric spaces (31E05)

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