Stability for parabolic quasiminimizers

DOI10.1007/s11118-014-9404-yzbMath1327.35227OpenAlexW1967811156MaRDI QIDQ462323

Juha Kinnunen, Yohei Fujishima, Mathias Masson, Jens Habermann

Publication date: 20 October 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-014-9404-y

zbMATH Keywords

stability resultsparabolic \(p\)-Laplace operatorparabolic quasiminimizers

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (11)

Global higher integrability for non-quadratic parabolic quasi-minimizers on metric measure spaces ⋮ Variational solutions to the total variation flow on metric measure 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 for evolutionary problems with linear growth by stability methods ⋮ Local Calderón-Zygmund estimates for parabolic minimizers ⋮ 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 ⋮ Existence for evolutionary Neumann problems with linear growth by stability results ⋮ Stability of degenerate parabolic Cauchy problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hölder regularity for parabolic De Giorgi classes in metric measure spaces
• Local higher integrability for parabolic quasiminimizers in metric spaces
• On nonlinear Rayleigh quotients
• Compact sets in the space \(L^ p(0,T;B)\)
• Stability for the solutions of \(div(| \nabla u| ^{p-2}\nabla u)=f\) with varying p
• Parabolic Q-minima and minimal solutions to variational flow
• On some variational problems
• Harnack's inequality for parabolic De Giorgi classes in metric spaces
• Sobolev spaces with zero boundary values on metric spaces
• Global gradient estimates for non-quadratic vector-valued parabolic quasi-minimizers
• Global higher integrability for parabolic quasiminimizers in metric measure spaces
• On the Harnack inequality for parabolic minimizers in metric measure spaces
• Global higher integrability for parabolic quasiminimizers in nonsmooth domains
• Harnack's principle for quasiminimizers
• Stability for degenerate parabolic equations
• Stability of quasiminimizers of the p -Dirichlet integral with varying p on metric spaces
• On Strong Barriers and an Inequality of Hardy for Domains in R ⁿ
• Uniformly Fat Sets
• On the stability of Sobolev spaces with zero boundary values
• Parabolic comparison principle and quasiminimizers in metric measure spaces

This page was built for publication: Stability for parabolic quasiminimizers