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Zbl 1060.35087
Yang, Zhijian; Chen, Guowang
Global existence of solutions for quasi-linear wave equations with viscous damping. (English)
[J] J. Math. Anal. Appl. 285, No. 2, 604-618 (2003). ISSN 0022-247X

Authors' abstract: The global existence of solutions to the initial boundary value problem for a class of quasilinear wave equations with viscous damping and source terms is studied by using a combination of Galerkin approximations, compactness, and monotonicity methods.
[P. Godin (Bruxelles)]
MSC 2000:
*35L70 Second order nonlinear hyperbolic equations
35L20 Second order hyperbolic equations, boundary value problems
35A05 General existence and uniqueness theorems (PDE)

Keywords: Galerkin approximations; compactness; monotonicity methods

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