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

doi:10.1016/S0252-9602(15)60018-2

数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (2): 508-526.doi: 10.1016/S0252-9602(15)60018-2

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

曹高伟¹, 胡凯², 杨小舟¹

1. Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China;
2. School of Mathematics and Statistics, Southwest University, Chonging 400715, China

收稿日期:2014-04-24 出版日期:2015-03-20 发布日期:2015-03-20
通讯作者: Xiaozhou YANG Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China E-mail: xzyang@wipm.ac.cn E-mail:xzyang@wipm.ac.cn
基金资助:
This paper is partly supported by Natural Science Foundation of China (11471332 and 11071246).

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

Gaowei CAO¹, Kai HU², Xiaozhou YANG¹

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).

摘要/Abstract

摘要：

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.

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

Abstract:

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

中图分类号:

35L65

曹高伟, 胡凯, 杨小舟. FORMULA OF GLOBAL SMOOTH SOLUTION FOR NON-HOMOGENEOUS M-D CONSERVATION LAW WITH UNBOUNDED INITIAL VALUE[J]. 数学物理学报(英文版), 2015, 35(2): 508-526.

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.

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

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

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