Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces

DOI10.1515/acv-2015-0038zbMath1366.35076OpenAlexW2565223105MaRDI QIDQ2360366

Yohei Fujishima, Jens Habermann

Publication date: 3 July 2017

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

Full work available at URL: https://doi.org/10.1515/acv-2015-0038

zbMATH Keywords

global regularitymetric measure spacehigher integrabilityparabolic quasi-minimizers

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Regularity of solutions in optimal control (49N60) Analysis on metric spaces (30L99)

Related Items (9)

Time-smoothing for parabolic variational problems in metric measure spaces ⋮ Harnack inequality for parabolic quasi minimizers on metric spaces ⋮ Gradient higher integrability for double phase problems on metric measure spaces ⋮ Existence of parabolic minimizers to the total variation flow on metric measure spaces ⋮ Global gradient estimates for non-quadratic vector-valued parabolic quasi-minimizers ⋮ Existence of parabolic minimizers on metric measure spaces ⋮ Existence of variational solutions to a Cauchy-Dirichlet problem with time-dependent boundary data on metric measure spaces ⋮ Higher integrability and stability of \((p,q)\)-quasiminimizers ⋮ Hölder continuity of parabolic quasi-minimizers on metric measure spaces

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