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math.AP2021★ 4 cited
Global Well-posedness and scattering for fourth-order Schrödinger equations on waveguide manifolds
Xueying Yu, Haitian Yue, Zehua Zhao
In this paper, we study the well-posedness theory and the scattering asymptotics for fourth-order Schrödinger equations (4NLS) on waveguide manifolds (semiperiodic spaces) $\mathbb…
math.AP2021★ 15 cited
Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three
Yu Deng, Andrea R. Nahmod, Haitian Yue
In this paper we consider the defocusing Hartree nonlinear Schrödinger equations on with real valued and even potential and Fourier multiplier decaying like $|k|^…