|
|
|
Vietnam Journal of Mathematics 37:2&3
(2009) 141-178
|
|
On Nonlinear Boundary Value Problems for Nonlinear
Wave Equations
|
|
Nguyen Thanh Long
and Le Thi Phuong Ngoc
|
|
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.
|
|
2000 Mathematics Subject Classification: 35C20, 35L05,
35L15, 35L20, 35L70, 35Q72, 37B25.
|
|
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.
|
|
|
|
Established
by Vietnam Academy of Science and Technology & Vietnam Mathematical
Society
Published
by Springer since January 2013
|
|
