TY - JOUR
T1 - Nonlinear wave equation with damping
T2 - Periodic forcing and non-resonant solutions to the Kuznetsov equation
AU - Celik, Aday
AU - Kyed, Mads
N1 - Publisher Copyright:
© 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
PY - 2018/3
Y1 - 2018/3
N2 - 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.
AB - 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.
KW - Wave equation
KW - damping
KW - periodic solutions
UR - http://www.scopus.com/inward/record.url?scp=85043456771&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85043456771&partnerID=8YFLogxK
U2 - 10.1002/zamm.201600280
DO - 10.1002/zamm.201600280
M3 - Article
AN - SCOPUS:85043456771
SN - 0044-2267
VL - 98
SP - 412
EP - 430
JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
IS - 3
ER -