Existence of solutions for a nonlinear wave equation
Keywords
Duality, variational method, existence of solutions, semilinear wave equationAbstract
We prove the existence of a strong solution of a periodic-Dirichlet problem for the semilinear wave equation with irrational period and with nonlinearity satisfying some general growth conditions locally around $0$. We construct a new variational method, called a dual method, and using relations between critical points and critical values of the primal action and the dual action functionals we prove that the solution exists. The dual functional which we define is different from the ones known so far in that it depends on two dual variables.Downloads
Published
2006-12-01
How to Cite
1.
GALEWSKI, Marek and NOWAKOWSKI, Andrzej. Existence of solutions for a nonlinear wave equation. Topological Methods in Nonlinear Analysis. Online. 1 December 2006. Vol. 28, no. 2, pp. 385 - 399. [Accessed 23 April 2024].
Issue
Section
Articles
Stats
Number of views and downloads: 0
Number of citations: 0