Aday Celik, Mads Kyed
Published 2016-11-27Version 1
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.
Theoretical study of nonlinear wave equations with combined power-type nonlinearities with variable coefficients
Norm inflation for nonlinear wave equations with infinite loss of regularity in Wiener amalgam spaces
Quantized Vortex Dynamics of the Nonlinear Wave Equation on the Torus
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