Exterior problems of parabolic Monge-Ampère equations for \(n=2\)

DOI10.1016/j.camwa.2014.02.009zbMath1357.35207OpenAlexW2013769590MaRDI QIDQ316671

Limei Dai

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2014.02.009

zbMATH Keywords

Perron methodexterior problemsparabolic Monge-Ampère equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Viscosity solutions to PDEs (35D40) Parabolic Monge-Ampère equations (35K96)

Related Items (3)

Entire solutions of Cauchy problem for parabolic Monge-Ampère equations ⋮ On the exterior problem for parabolic k-Hessian equations ⋮ Exterior problems for more general parabolic Monge-Ampère equation in more general domain

Cites Work

• The exterior Dirichlet problem for special Lagrangian equations in dimensions \(n\leq 4\)
• The exterior Dirichlet problem for Hessian quotient equations
• The Dirichlet problem for Hessian quotient equations in exterior domains
• On uniqueness and existence of viscosity solutions to Hessian equations in exterior domains
• On the exterior Dirichlet problem for the Monge-Ampère equation in dimension two
• Partial decay on simple manifolds
• An extension of a theorem by K. Jörgens and a maximum principle at infinity for parabolic affine spheres
• The space of parabolic affine spheres with fixed compact boundary
• On the exterior Dirichlet problem for Monge-Ampère equations
• Existence and stability of periodic solutions for parabolic systems with time delays
• A generalization of a theorem by Calabi to the parabolic Monge-Ampere equation
• An extension to a theorem of Jörgens, Calabi, and Pogorelov
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