CAUCHY PROBLEM FOR A |PARABOLIC EQUATION WITH NON-DIVERGENCE FORM

doi:10.1016/S0252-9602(10)60161-0

数学物理学报(英文版) ›› 2010, Vol. 30 ›› Issue (5): 1679-1686.doi: 10.1016/S0252-9602(10)60161-0

CAUCHY PROBLEM FOR A |PARABOLIC EQUATION WITH NON-DIVERGENCE FORM

周文书|姚正安

Department of Mathematics, Dalian Nationalities University, Dalian 116600, China； Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

收稿日期:2008-01-22 出版日期:2010-09-20 发布日期:2010-09-20
基金资助:
Supported in part by Dalian Nationalities University (20076209), Department of Education of Liaoning Province (2009A152) and National Natural Science Foundation of China (10471156, 10901030).

CAUCHY PROBLEM FOR A |PARABOLIC EQUATION WITH NON-DIVERGENCE FORM

ZHOU Wen-Shu, YAO Zheng-An

Department of Mathematics, Dalian Nationalities University, Dalian 116600, China； Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, China

Received:2008-01-22 Online:2010-09-20 Published:2010-09-20
Supported by:
Supported in part by Dalian Nationalities University (20076209), Department of Education of Liaoning Province (2009A152) and National Natural Science Foundation of China (10471156, 10901030).

摘要/Abstract

摘要：

In this article, it is shown that there exists a unique viscosity solution of the Cauchy problem for a degenerate parabolic equation with non-divergence form.

关键词: degenerate parabolic equation, viscosity solution, uniqueness, existence

Abstract:

In this article, it is shown that there exists a unique viscosity solution of the Cauchy problem for a degenerate parabolic equation with non-divergence form.

Key words: degenerate parabolic equation, viscosity solution, uniqueness, existence

中图分类号:

35K55

周文书, 姚正安. CAUCHY PROBLEM FOR A |PARABOLIC EQUATION WITH NON-DIVERGENCE FORM[J]. 数学物理学报(英文版), 2010, 30(5): 1679-1686.

ZHOU Wen-Shu, YAO Zheng-An. CAUCHY PROBLEM FOR A |PARABOLIC EQUATION WITH NON-DIVERGENCE FORM[J]. Acta mathematica scientia,Series B, 2010, 30(5): 1679-1686.

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CAUCHY PROBLEM FOR A |PARABOLIC EQUATION WITH NON-DIVERGENCE FORM

CAUCHY PROBLEM FOR A |PARABOLIC EQUATION WITH NON-DIVERGENCE FORM

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