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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Main Authors: Haibo Yan, Ls Yong
Format: Article
Language:English
Published: Wiley 2014-01-01
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).
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institution Kabale University
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publishDate 2014-01-01
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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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