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On a quasilinear wave equation with nonlinear damping

Published online by Cambridge University Press:  14 November 2011

Dang Dinh Hai
Dang Dinh Hai
Affiliation:
Department of Mathematics, Dai Hoc Tong Hop, Ho Chi Minh City University, Ho Chi Minh, Vietnam
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Synopsis

We prove the global existence and uniqueness of the solution of the initial and boundary value problem for the equation

by using the classical Galerkin method when the forcing term and the initial data are in some sense small. The asymptotic behaviour of the solution as t → ∞ is also considered.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 3-4 , 1988 , pp. 227 - 239
Copyright
Copyright © Royal Society of Edinburgh 1988

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