期刊
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
卷 54, 期 6, 页码 919-936出版社
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00033-003-0070-y
关键词
prescribed Jacobian equation; holder regularity; heat equation; Stokes system
In this paper we present and analyze two new algorithms to construct a smooth diffeomorphism of a domain with prescribed jacobian function. The first one is free from any restriction on the boundary, while the second one produces a diffeomorphism that coincides with the identity map on the boundary of the domain. Both are based on the solution of an initial value problem for the linear heat equation, and the second also uses solutions of the Stokes system of Fluid Mechanics.
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