On the Hölder continuity of bounded weak solutions of quasi-linear parabolic inequalities

DOI10.1007/BF01766854zbMath0574.35054OpenAlexW2012997186MaRDI QIDQ1063795

Michael Struwe, Maria Agostina Vivaldi

Publication date: 1985

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766854

zbMATH Keywords

weak solutionvariational inequalityHölder continuityglobal regularityobstaclehole filling techniquequasi-linear parabolic inequalities

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (9)

Regularity results for nonlinear parabolic obstacle problems with subquadratic growth ⋮ Existence results for some quasilinear parabolic equations ⋮ Continuity up to the boundary for obstacle problems to porous medium type equations ⋮ Wiener estimates for parabolic obstacle problems ⋮ Regularity of Weak Solutions of Parabolic Variational Inequalities ⋮ Degenerate problems with irregular obstacles ⋮ Morrey estimates and Hölder continuity for solutions to parabolic equations with entropy inequalities ⋮ On the Hölder regularity for obstacle problems to porous medium type equations ⋮ Hölder estimates for parabolic obstacle problems

Cites Work

• Everywhere-regularity for some quasilinear systems with a lack of ellipticity
• On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems
• On the partial regularity of weak solutions on nonlinear parabolic systems
• Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta
• Wiener estimates for parabolic obstacle problems
• A parabolic quasi-variational inequality related to a sto-chastic impulse control problem with quadratic growth hamiltonian
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