Asymptotic Behavior of Solutions to the Damped Nonlinear Hyperbolic Equation | Zendy

YuZhu Wang | Zendy

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Asymptotic Behavior of Solutions to the Damped Nonlinear Hyperbolic Equation

Author(s) -

YuZhu Wang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/353757

Subject(s) - sobolev space , mathematics , initial value problem , nonlinear system , mathematical analysis , contraction mapping , hyperbolic partial differential equation , cauchy problem , contraction (grammar) , space (punctuation) , partial differential equation , physics , fixed point theorem , computer science , medicine , quantum mechanics , operating system

We consider the Cauchy problem for the damped nonlinear hyperbolic equation in n-dimensional space. Under small condition on the initial value, the global existence and asymptotic behavior of the solution in the corresponding Sobolev spaces are obtained by the contraction mapping principle

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