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	Continuity estimates for the Monge-Ampere equation
	Jian, Huai-Yu ; Wang, Xu-Jia
	2010-05-06 ; 2010-05-06
关键词	Monge-Ampere equation a priori estimates semigeostrophic equation SEMIGEOSTROPHIC EQUATIONS EULER EQUATIONS REGULARITY SPACE Mathematics, Applied
中文摘要	paper, we study the regularity of solutions to the Monge-Ampere equation. We prove the log-Lipschitz continuity for the gradient under certain assumptions. We also give a unified treatment for the continuity estimates of the second derivatives. As an application we show the local existence of continuous solutions to the semigeostrophic equation arising in meteorology.
语种	英语 ; 英语
出版者	SIAM PUBLICATIONS ; PHILADELPHIA ; 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, PA 19104-2688 USA
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/14299]
专题	清华大学
推荐引用方式 GB/T 7714	Jian, Huai-Yu,Wang, Xu-Jia. Continuity estimates for the Monge-Ampere equation[J],2010, 2010.
APA	Jian, Huai-Yu,&Wang, Xu-Jia.(2010).Continuity estimates for the Monge-Ampere equation..
MLA	Jian, Huai-Yu,et al."Continuity estimates for the Monge-Ampere equation".(2010).

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