Nonlinear Wave Equation with Damping: Periodic Forcing and Non-Resonant Solutions to the Kuznetsov Equation
Analysis of PDEs
2016-11-29 v1
Abstract
Existence of non-resonant solutions of time-periodic type are established for the Kuznetsov equation with a periodic forcing term. The equation is considered in a three-dimensional whole-space, half-space and bounded domain, and with both non-homogeneous Dirichlet and Neumann boundary values. A method based on Lp estimates of the corresponding linearization, namely the wave equation with Kelvin-Voigt damping, is employed.
Keywords
Cite
@article{arxiv.1611.08883,
title = {Nonlinear Wave Equation with Damping: Periodic Forcing and Non-Resonant Solutions to the Kuznetsov Equation},
author = {Aday Celik and Mads Kyed},
journal= {arXiv preprint arXiv:1611.08883},
year = {2016}
}