\(W^{2,p}\) estimates for the parabolic Monge-Ampère equation

DOI10.1007/s002050100151zbMath0992.35020OpenAlexW2392329591MaRDI QIDQ5949562

Cristian E. Gutiérrez, Qingbo Huang

Publication date: 21 November 2001

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050100151

zbMATH Keywords

Hessiangrowth conditions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) A priori estimates in context of PDEs (35B45)

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Entire solutions of Cauchy problem for parabolic Monge-Ampère equations ⋮ Asymptotic mean value formulas for parabolic nonlinear equations ⋮ A Calabi theorem for solutions to the parabolic Monge-Ampère equation with periodic data ⋮ An extension of Jörgens-Calabi-Pogorelov theorem to parabolic Monge-Ampère equation ⋮ On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Ampère equations ⋮ Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations ⋮ Regularity results on the parabolic Monge-Ampère equation with \(VMO\) type data ⋮ Weak regularity of Gauss mass transport ⋮ Multi-valued solutions to a class of parabolic Monge-Ampère equations ⋮ Boundary regularity on the parabolic Monge-Ampère equation ⋮ Characterization of Besov spaces associated with parabolic sections ⋮ DIVERGENCE FORM PARABOLIC EQUATIONS ON TIME-DEPENDENT QUASICONVEX DOMAINS ⋮ Existence of multi-valued solutions with asymptotic behavior of parabolic Monge-Ampère equation

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