Integrability of det$\nabla u$ and Evolutionary Wente's Problem Associated to Heat Operator

Citation:

Sami BARAKET,Makkia DAMMAK,Mohamed JLELI,Dong YE.Integrability of det$\nabla u$ and Evolutionary Wente's Problem Associated to Heat Operator[J].Chinese Annals of Mathematics B,2007,28(5):527~532
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Authors:

Sami BARAKET; Makkia DAMMAK;Mohamed JLELI;Dong YE
Abstract: In this note, the authors resolve an evolutionary Wente's problem associated to heat equation, where the special integrability of det$\nabla u$ for $u \in H^1(\R^2, \R^2)$ is used.

Keywords:

Jacobian determinant, Heat equation, Wente’s problem

Classification:

35K55, 35K20, 35K05
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