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

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.

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Bibliographic Details
Published inActa mathematica scientia Vol. 35; no. 2; pp. 508 - 526
Main Author 曹高伟 胡凯 杨小舟
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2015
Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China%School of Mathematics and Statistics, Southwest University, Chonging 400715, China
Subjects
35L65
global implicit function
global smooth solution
non-homogeneous m-D conservation laws
Solution formula
公式表达
初值
初始值
守恒律
整体光滑解
无界
非均匀
global smooth solution
non-homogeneous m-D conservation laws
global implicit function
Solution formula
35L65
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(15)60018-2

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Summary: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.
Bibliography:Gaowei CAO,Kai HU,Xiaozhou YANG（ 1. Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China ; 2. School of Mathematics and Statistics, Southwest University, Chonging 400715, China）
42-1227/O
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.
Solution formula; non-homogeneous m-D conservation laws; global smooth solution; global implicit function
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(15)60018-2