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- W2788730452 abstract "In the present paper, the reducibility is derived for the wave equations with finitely smooth and time-quasi-periodic potential subjects to periodic boundary conditions. More exactly, the linear wave equation $u_{tt}-u_{xx}+Mu+varepsilon (V_0(omega t)u_{xx}+V(omega t, x)u)=0,;xin mathbb{R}/2pi mathbb{Z}$ can be reduced to a linear Hamiltonian system of a constant coefficient operator which is of pure imaginary point spectrum set, where $V$ is finitely smooth in $(t, x)$, quasi-periodic in time $t$ with Diophantine frequency $omegain mathbb{R}^{n},$ and $V_0$ is finitely smooth and quasi-periodic in time $t$ with Diophantine frequency $omegain mathbb{R}^{n},$ Moreover, it is proved that the corresponding wave operator possesses the property of pure point spectra and zero Lyapunov exponent." @default.
- W2788730452 created "2018-03-06" @default.
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- W2788730452 date "2018-02-15" @default.
- W2788730452 modified "2023-09-27" @default.
- W2788730452 title "Reducibility for wave equations of finitely smooth potential with periodic boundary conditions" @default.
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- W2788730452 doi "https://doi.org/10.48550/arxiv.1802.08133" @default.
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