Acta mathematica scientia, Series B >
FORMULA OF GLOBAL SMOOTH SOLUTION FOR NON-HOMOGENEOUS M-D CONSERVATION LAW WITH UNBOUNDED INITIAL VALUE
Received date: 2014-04-24
Online published: 2015-03-20
Supported by
This paper is partly supported by Natural Science Foundation of China (11471332 and 11071246).
In this article, we prove the existence and obtain the expression of its solution formula of global smooth solution for non-homogeneous multi-dimensional(m-D) conservation law with unbounded initial value; our methods are new and essentially different with the situation of bounded initial value.
Gaowei CAO , Kai HU , Xiaozhou YANG . FORMULA OF GLOBAL SMOOTH SOLUTION FOR NON-HOMOGENEOUS M-D CONSERVATION LAW WITH UNBOUNDED INITIAL VALUE[J]. Acta mathematica scientia, Series B, 2015 , 35(2) : 508 -526 . DOI: 10.1016/S0252-9602(15)60018-2
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