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Vietnam Journal of Mathematics 37:2&3
(2009) 141-178
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On Nonlinear Boundary Value Problems for Nonlinear
Wave Equations
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Nguyen Thanh Long and
Le Thi Phuong Ngoc
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Abstract. The paper is devoted to the study
of existence, stability, regularity in time variable, asymptotic behavior
and asymptotic expansion of solutions of nonlinear boundary value problems
for nonlinear wave equations.
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2000 Mathematics Subject Classification: 35C20, 35L05,
35L15, 35L20, 35L70, 35Q72, 37B25.
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Keywords: Nonlinear boundary value problem,
Nonlinear Kirchhoff - Carrier wave equation, Faedo - Galerkin
approximation, Sobolev spaces with weight, quadratic convergence, high
order iterative method, Asymptotic expansion of order N+1,
Exponential decay of solution.
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Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
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