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math.DS2017★ 2 cited
An abstract infinite dimensional KAM theorem with application to nonlinear higher dimensional Schrodinger equation systems
Shidi Zhou
In this paper we consider nonlinear Schrodinger systems with periodic boundary condition in high dimension. We establish an abstract infinite dimensional KAM theorem and apply it t…
math.DS2017★ 8 cited
An infinite dimensional KAM theorem with application to two dimensional completely resonant beam equation
Jiansheng Geng, Shidi Zhou
In this paper we consider the completely resonant beam equation on \T^2 with cubic nonlinearity on a subspace of L^2 (\T^2) which will be explained later. We establish an abstract…