Parabolic Monge-Ampère equations on Riemannian manifolds

DOI10.1006/JFAN.1996.3062zbMath0895.58053OpenAlexW2068062527MaRDI QIDQ1363025

Barbara Huisken

Publication date: 6 September 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1996.3062

zbMATH Keywords

parabolic Monge-Ampère equations

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (7)

A note on the asymptotic behavior of parabolic Monge-Ampère equations on Riemannian manifolds ⋮ Volume-preserving mean curvature flow for tubes in rank one symmetric spaces of non-compact type ⋮ Convergence of the Hesse-Koszul flow on compact Hessian manifolds ⋮ Unnamed Item ⋮ Existence of the global solution for the parabolic Monge-Ampère equations on compact Riemannian manifolds ⋮ Global existence of solutions to parabolic Monge-Ampère equations on Riemannian manifolds ⋮ Volume-preserving mean curvature flow of revolution hypersurfaces in a rotationally symmetric space

Cites Work

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• Equations du type de Monge-Ampère sur les variétés Riemanniennes compactes. III
• Regularity theory for quasilinear elliptic systems and Monge-Ampère equations in two dimensions
• Three-manifolds with positive Ricci curvature
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• Hypersurfaces in IRⁿ⁺¹with prescribed gaussian curvature and related equations of monge—ampére type
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