Existence of non-resonant solutions of time-periodic type is 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 for the corresponding linearization, namely the wave equation with Kelvin-Voigt damping, is employed.
|ジャーナル||ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik|
|出版ステータス||Published - 2018 3月|
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