A Liouville theorem of parabolic Monge-Ampère equations in half-space
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Publication:1995558
DOI10.3934/dcds.2020331zbMath1458.35249OpenAlexW3085639191MaRDI QIDQ1995558
Bo Wang, Ziwei Zhou, Ji Guang Bao
Publication date: 24 February 2021
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2020331
Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45) Parabolic Monge-Ampère equations (35K96) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Cites Work
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- Monge-Ampère equation on exterior domains
- On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge-Ampère equations
- An extension of Jörgens-Calabi-Pogorelov theorem to parabolic Monge-Ampère equation
- Asymptotic behavior at infinity of solutions of Monge-Ampère equations in half spaces
- Asymptotic behavior on a kind of parabolic Monge-Ampère equation
- A localization theorem and boundary regularity for a class of degenerate Monge-Ampere equations
- On the improper convex affine hyperspheres
- Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
- Über die Lösungen der Differentialgleichung \({r t - s^2 = 1}\)
- Deforming a hypersurface by its Gauss-Kronecker curvature
- Complete affine hypersurfaces. Part I. The completeness of affine metrics
- A generalization of a theorem by Calabi to the parabolic Monge-Ampere equation
- An extension to a theorem of Jörgens, Calabi, and Pogorelov
- 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
- Some aspects of the global geometry of entire space-like submanifolds