The Local Stability of Solutions for a Nonlinear Equation
The approach of Kruzkov’s device of doubling the variables is applied to establish the local stability of strong solutions for a nonlinear partial differential equation in the space L1(R) by assuming that the initial value only lies in the space L1(R)∩L∞(R).
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Format: | Article |
Language: | English |
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Wiley
2014-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/781813 |
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author | Haibo Yan Ls Yong |
author_facet | Haibo Yan Ls Yong |
author_sort | Haibo Yan |
collection | DOAJ |
description | The approach of Kruzkov’s device of doubling the variables is applied to establish the local stability of strong solutions for a nonlinear partial differential equation in the space L1(R) by assuming that the initial value only lies in the space L1(R)∩L∞(R). |
format | Article |
id | doaj-art-008ace9d40c645ccb749ea7fcd6ee2fb |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
series | Abstract and Applied Analysis |
spelling | doaj-art-008ace9d40c645ccb749ea7fcd6ee2fb2025-02-03T01:33:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/781813781813The Local Stability of Solutions for a Nonlinear EquationHaibo Yan0Ls Yong1Department of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaDepartment of Applied Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, ChinaThe approach of Kruzkov’s device of doubling the variables is applied to establish the local stability of strong solutions for a nonlinear partial differential equation in the space L1(R) by assuming that the initial value only lies in the space L1(R)∩L∞(R).http://dx.doi.org/10.1155/2014/781813 |
spellingShingle | Haibo Yan Ls Yong The Local Stability of Solutions for a Nonlinear Equation Abstract and Applied Analysis |
title | The Local Stability of Solutions for a Nonlinear Equation |
title_full | The Local Stability of Solutions for a Nonlinear Equation |
title_fullStr | The Local Stability of Solutions for a Nonlinear Equation |
title_full_unstemmed | The Local Stability of Solutions for a Nonlinear Equation |
title_short | The Local Stability of Solutions for a Nonlinear Equation |
title_sort | local stability of solutions for a nonlinear equation |
url | http://dx.doi.org/10.1155/2014/781813 |
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