Global smooth solutions to a class of 1-D hyperbolic problems with boundary damping

Darmawijoyo, Darmawijoyo and Clément, Ph. and Van Horssen, W.T. (2003) Global smooth solutions to a class of 1-D hyperbolic problems with boundary damping. Reports of the Department of Applied Mathematical Analysis. ISSN 1389-6520

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    Abstract

    In this paper an initial-boundary value problem for a nonlinear string (or wave) equation with non-classical boundary conditions is considered. One end of the string is assumed to be �xed and the other end of the string is attached to a dashpot system, where the (positive) damping is generated. Existence, uniqueness, and regularity of solutions to this problem are investigated.

    Item Type: Article
    Uncontrolled Keywords: Wave equation, boundary damping, linear and nonlinear m-dissipative operators in Hilbert space.
    Subjects: Q Science > QA Mathematics
    Divisions: Faculty of Teacher Training and Science Education > Department of Mathematics and Sciences Education > Mathematics Education
    Depositing User: Dr. Darmawijoyo Hanapi
    Date Deposited: 18 Feb 2012 10:34
    Last Modified: 18 Feb 2012 10:34
    URI: http://eprints.unsri.ac.id/id/eprint/481

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