Boundary regularity on the parabolic Monge-Ampère equation

DOI10.1016/J.JDE.2015.07.026zbMath1333.35127OpenAlexW1195562168MaRDI QIDQ496748

Lin Tang

Publication date: 22 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.07.026

zbMATH Keywords

Hölder estimatesboundary regularityparabolic Monge-Ampère equation

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Viscosity solutions to PDEs (35D40) Parabolic Monge-Ampère equations (35K96)

Related Items (1)

The obstacle problem for parabolic Monge-Ampère equation

Cites Work

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• Interior a priori estimates for solutions of fully nonlinear equations
• Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
• Sequences of convex functions and estimates of the maximum of the solution of a parabolic equation
• An improvement of a result of Ivochkina and Ladyzhenskaya on a type of parabolic Monge-Ampère equation
• Gauss curvature flow: The fate of the rolling stones
• Boundary regularity for the Monge-Ampère and affine maximal surface equations
• Regularity results on the parabolic Monge-Ampère equation with \(VMO\) type data
• Global 𝑊^{2,𝑝} estimates for the Monge-Ampère equation
• On an Aleksandrov-Bakel'Man Type Maximum Principle for Second-Order Parabolic Equations
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• Deforming a hypersurface by its Gauss-Kronecker curvature
• On the regularity theory of fully nonlinear parabolic equations: I
• On the regularity theory of fully nonlinear parabolic equations: II
• Harnack inequality for the linearized parabolic Monge-Ampère equation
• A generalization of a theorem by Calabi to the parabolic Monge-Ampere equation
• Geometric properties of the sections of solutions to the Monge-Ampère equation
• Pointwise 𝐶^{2,𝛼} estimates at the boundary for the Monge-Ampère equation
• On a priori C 1, α and W 2, p estimates for a parabolic Monge-Ampere equation in the Gauss curvature flows
• The Monge-Ampère equation
• \(W^{2,p}\) estimates for the parabolic Monge-Ampère equation

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