A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds | Zendy

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A Note on the Asymptotic Behavior of Parabolic Monge-Ampère Equations on Riemannian Manifolds

Author(s) -

Qiang Ru

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/304864

Subject(s) - mathematics , path (computing) , matrix (chemical analysis) , combinatorics , physics , mathematical analysis , chemistry , computer science , chromatography , programming language

We study the asymptotic behavior of the parabolic Monge-Ampère equation ∂(x,t)/∂t=log (det(g(x)+Hess(x,t))/detg(x))-(x,t) in ×(0,∞), (x,0)=0(x) in , where is a compact complete Riemannian manifold, is a positive real parameter, and 0(x): Is a smooth function. We show a meaningful asymptotic result which is more general than those in Huisken, 1997. © 2013 Qiang Ru.

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