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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| Published in | Acta mathematica scientia Vol. 35; no. 2; pp. 508 - 526 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| 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 | |
| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(15)60018-2 |
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| 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. |
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| AbstractList | 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. 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. |
| Author | 曹高伟 胡凯 杨小舟 |
| AuthorAffiliation | Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China School of Mathematics and Statistics, Southwest University, Chonging 400715, China |
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| Cites_doi | 10.1007/BF00280178 10.1002/cpa.3160190107 10.1007/BF02883803 10.1002/mma.332 10.1006/jdeq.1996.0065 10.1007/PL00005452 10.1137/0517082 10.1090/S0002-9947-1989-0930070-3 10.1080/10020070412331344451 10.1137/0514045 10.1016/S0252-9602(17)30629-X 10.1070/SM1967v002n02ABEH002340 10.1093/imanum/19.1.77 10.1006/jmaa.1996.0223 10.1006/jdeq.1994.1081 10.1007/BF00251604 10.1016/S0252-9602(18)30506-X |
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| Copyright | 2015 Wuhan Institute of Physics and Mathematics Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| Keywords | global smooth solution non-homogeneous m-D conservation laws global implicit function Solution formula 35L65 |
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| Notes | 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 |
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| SubjectTerms | 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 |
| Title | FORMULA OF GLOBAL SMOOTH SOLUTION FOR NON-HOMOGENEOUS M-D CONSERVATION LAW WITH UNBOUNDED INITIAL VALUE |
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