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

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.

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Bibliographic Details
Published inActa mathematica scientia Vol. 30; no. 5; pp. 1679 - 1686
Main Author 周文书 姚正安
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.09.2010
Department of Mathematics,Dalian Nationalities University,Dalian 116600,China%Department of Mathematics,Sun Yat-Sen University,Guangzhou 510275,China
Subjects
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Cauchy problem
Cauchy问题
degenerate parabolic equation
existence
Mathematical analysis
uniqueness
Viscosity
viscosity solution
抛物方程
柯西问题
退化抛物型方程
非散度型
degenerate parabolic equation
viscosity solution
uniqueness
existence
35K57
35K55
35K65
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(10)60161-0

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More Information
Summary: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.
Bibliography:degenerate parabolic equation
viscosity solution
degenerate parabolic equation; viscosity solution; uniqueness; existence
uniqueness
existence
42-1227/O
O175.27
O175.26
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(10)60161-0