Global existence of classical solutions to the Cauchy problem for a kind of quasilinear hyperbolic systems in divergence form

This paper deals with the global existence of classical solutions to a kind of second order quasilinear hyperbolic systems subject to a null condition, with the linear elastodynamic system as its principal part and the nonlinear terms depending on the product of u 2 and the derivatives of u.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 359; no. 2; pp. 570 - 580
Main Author Guan, Yan
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 15.11.2009
Elsevier
Subjects
Algebra
Algebraic geometry
Cauchy problem
Exact sciences and technology
Global analysis, analysis on manifolds
Global existence
Linear elastodynamic operator
Mathematical analysis
Mathematics
Null conditions
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Partial differential equations
Quasilinear system
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Global existence
Null conditions
Quasilinear system
Linear elastodynamic operator
Cauchy problem
Second order equation
Hyperbolic system
Existence of solution
Linear operator
Global solution
Linear system
Mathematical analysis
Quasi linear system
Application
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Summary:This paper deals with the global existence of classical solutions to a kind of second order quasilinear hyperbolic systems subject to a null condition, with the linear elastodynamic system as its principal part and the nonlinear terms depending on the product of u 2 and the derivatives of u.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2009.05.050