Higher integrability for vector-valued parabolic quasi-minimizers on metric measure spaces

DOI10.1007/s11512-015-0221-3zbMath1337.35081OpenAlexW1007981742MaRDI QIDQ283978

Jens Habermann

Publication date: 17 May 2016

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-015-0221-3

zbMATH Keywords

metric measure spacehigher integrability estimatesquasi-minimizerupper gradientvector-valued parabolic quasi-minimizer

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (10)

Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces ⋮ 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 ⋮ Existence of evolutionary variational solutions via the calculus of variations ⋮ 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 ⋮ Hölder continuity of parabolic quasi-minimizers on metric measure spaces

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