Acta mathematica scientia, Series B >
TRICOMI PROBLEM FOR A MIXED EQUATION OF SECOND ORDER WITH DISCONTINUOUS COEFFICIENTS
Received date: 2008-10-22
Online published: 2009-05-20
Supported by
The research is partially supported by National Natural Science Foundation of China (10531020), the National Basic Research Program of China (2006CB805902), the Project STCSM (06JC14005) and the Doctorial
Foundation of National Educational Ministry (20050246001)
This paper is devoted to the Tricomi problem for a mixed type equation of second order. The coefficients are assumed to be discontinuous on the line where the type is changed. The unique existence of the solution to the problem is proved if the domain is small enough. Correspondingly, some estimates on the solution is also
established.
Key words： mixed type equation; Tricomi problem; Riemann function
Chen Shuxing . TRICOMI PROBLEM FOR A MIXED EQUATION OF SECOND ORDER WITH DISCONTINUOUS COEFFICIENTS[J]. Acta mathematica scientia, Series B, 2009 , 29(3) : 569 -582 . DOI: 10.1016/S0252-9602(09)60054-0
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