2004 Global smooth solutions to a class of one-dimensional hyperbolic problems with boundary damping
Ph. Clément, Darmawijoyo, W. T. van Horssen
Differential Integral Equations 17(1-2): 151-164 (2004). DOI: 10.57262/die/1356060477

Abstract

In this paper an initial--boundary-value problem for a nonlinear string (or wave) equation with nonclassical boundary conditions is considered. One end of the string is assumed to be fixed 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.

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Ph. Clément. Darmawijoyo. W. T. van Horssen. "Global smooth solutions to a class of one-dimensional hyperbolic problems with boundary damping." Differential Integral Equations 17 (1-2) 151 - 164, 2004. https://doi.org/10.57262/die/1356060477

Information

Published: 2004
First available in Project Euclid: 21 December 2012

zbMATH: 1164.35434
MathSciNet: MR2035500
Digital Object Identifier: 10.57262/die/1356060477

Subjects:
Primary: 35L70
Secondary: 35A05 , 35L20 , 47H20

Rights: Copyright © 2004 Khayyam Publishing, Inc.

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Vol.17 • No. 1-2 • 2004
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