Regularity for fully nonlinear parabolic equations with oblique boundary data

DOI10.4171/rmi/1214zbMath1465.35087arXiv1902.02847OpenAlexW3081232988MaRDI QIDQ2031502

Georgiana Chatzigeorgiou, Emmanouil Milakis

Publication date: 9 June 2021

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02847

zbMATH Keywords

fully nonlinear parabolic equationsviscosity solutionsoblique boundary conditionsparabolic Hölder spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Viscosity solutions to PDEs (35D40)

Related Items

\(H^{1+ \alpha}\) estimates for the fully nonlinear parabolic thin obstacle problem, Regularity for the fully nonlinear parabolic thin obstacle problem, \(L^p\)-estimates for the Hessians of solutions to fully nonlinear parabolic equations with oblique boundary conditions

Cites Work

• Interior a priori estimates for solutions of fully nonlinear equations
• Fully nonlinear oblique derivative problems for nonlinear second-order elliptic PDE's
• Hölder estimates for bounded solutions of problems with an oblique derivative for parabolic equations of nondivergence structure
• Elliptic partial differential equations of second order
• Regularity for fully nonlinear elliptic equations with oblique boundary conditions
• Nonlinear oblique derivative problems for singular degenerate parabolic equations on a general domain
• Inequalities for second-order elliptic equations with applications to unbounded domains. I
• An Introduction to Fully Nonlinear Parabolic Equations
• On The Hölder Gradient Estimate For Solutions Of Nonlinear Elliptic And Parabolic Oblique Boundary Value Problems
• On pababolic oblique derivative problem with holder continuous coefficients
• Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
• On the regularity theory of fully nonlinear parabolic equations: I
• On the regularity theory of fully nonlinear parabolic equations: II
• On the regularity theory of fully nonlinear parabolic equations: III
• Oblique Derivative Problems for Elliptic Equations
• Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data
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