Acta mathematica scientia, Series B >
CAUCHY PROBLEM FOR A |PARABOLIC EQUATION WITH NON-DIVERGENCE FORM
Received date: 2008-01-22
Online 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).
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
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 . DOI: 10.1016/S0252-9602(10)60161-0
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