Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 138, pp. 1-18.
Title: Nonlinear Kirchhoff-Carrier wave equation in a unit membrane with
mixed homogeneous boundary conditions
Author: Nguyen Thanh Long (Vietnam National Univ., Hochiminh, Vietnam)
Abstract:
In this paper we consider the nonlinear wave equation problem
$$\displaylines{
u_{tt}-B\big(\|u\|_0^2,\|u_{r}\|_0^2\big)(u_{rr}+\frac{1}{r}u_{r})
=f(r,t,u,u_{r}),\quad 00$.
Submitted August 3, 2004. Published December 1, 2005.
Math Subject Classifications: 35L70, 35Q72.
Key Words: Nonlinear wave equation; Galerkin method; quadratic convergence;
weighted Sobolev spaces.