Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Zhaowei Lou"'
Autor:
Zhaowei Lou, Youchao Wu
Publikováno v:
Electronic Journal of Differential Equations, Vol 2024, Iss 02,, Pp 1-20 (2024)
Externí odkaz:
https://doaj.org/article/c48e6904ad47480c97d55aa44d1db23d
Autor:
Zhaowei Lou, Yingnan Sun
Publikováno v:
Electronic Journal of Differential Equations, Vol 2022, Iss 69,, Pp 1-25 (2022)
Externí odkaz:
https://doaj.org/article/332f573089894aa8bd70c9fb44f968e2
Autor:
Zhaowei Lou, Ningning Chang
Publikováno v:
Zeitschrift für angewandte Mathematik und Physik. 74
Autor:
Zhaowei Lou, Jian Wu
Publikováno v:
Journal of Dynamics and Differential Equations.
Publikováno v:
Journal of Dynamics and Differential Equations. 35:1611-1641
In this paper, we prove an abstract KAM (Kolmogorov–Arnold–Moser) theorem for infinite dimensional reversible Schrodinger systems. Using this KAM theorem together with partial Birkhoff normal form method, we obtain the existence of quasi-periodic
Publikováno v:
Journal of Dynamics and Differential Equations. 33:2009-2046
In this paper, one dimensional nonlinear wave equations $$\begin{aligned} u_{tt}-u_{xx}+M_{\xi _{2}}u +\varepsilon f(\omega _{1} t, x, u)=0 \end{aligned}$$ with Dirichlet boundery conditions are considered, where $$M_{\xi _{2}}$$ is a real Fourier mu
Publikováno v:
Mathematische Zeitschrift. 297:1693-1731
In the present paper, we prove an infinite dimensional reversible Kolmogorov-Arnold-Moser (KAM) theorem. As an application, we study the existence of KAM tori for a class of two dimensional (2D) non-Hamiltonian completely resonant beam equations with
Publikováno v:
Journal of Dynamics and Differential Equations. 33:525-547
In this paper, we study a class of completely resonant beam equations with derivative nonlinearities on $$\mathbb {T}^2$$ $$\begin{aligned} u_{tt}+\Delta ^2 u+u|\nabla u|^2+u^2\Delta u=0. \end{aligned}$$ We will prove the existence of small-amplitude
Autor:
Zhaowei Lou, Jianguo Si
Publikováno v:
Journal of Dynamics and Differential Equations. 32:117-161
In this paper, we consider a new class of derivative nonlinear Schrodinger equations with reversible nonlinearities of the form $$\begin{aligned} \mathrm {i}u_t+u_{xx}+|u_x|^{4}u=0,\quad (t, x)\in {\mathbb {R}}\times {\mathbb {T}}. \end{aligned}$$ We
Publikováno v:
Discrete and Continuous Dynamical Systems. 42:4555
We focus on a class of derivative nonlinear Schrödinger equation with reversible nonlinear term depending on spatial variable \begin{document}$ x $\end{document}: \begin{document}$ \begin{equation*} \mathrm{i} u_t+u_{xx}-\bar{u}u_{x}^2 + F(x, u, \ba