Acta mathematica scientia,Series B ›› 2015, Vol. 35 ›› Issue (2): 508-526.doi: 10.1016/S0252-9602(15)60018-2

• Articles • Previous Articles    

FORMULA OF GLOBAL SMOOTH SOLUTION FOR NON-HOMOGENEOUS M-D CONSERVATION LAW WITH UNBOUNDED INITIAL VALUE

Gaowei CAO1, Kai HU2, Xiaozhou YANG1   

  1. 1. Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China;
    2. School of Mathematics and Statistics, Southwest University, Chonging 400715, China
  • Received:2014-04-24 Online:2015-03-20 Published:2015-03-20
  • Contact: Xiaozhou YANG Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China E-mail: xzyang@wipm.ac.cn E-mail:xzyang@wipm.ac.cn
  • Supported by:

    This paper is partly supported by Natural Science Foundation of China (11471332 and 11071246).

Abstract:

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.

Key words: Solution formula, non-homogeneous m-D conservation laws, global smooth solution, global implicit function

CLC Number: 

  • 35L65
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