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math.AP2019★ 27 cited
Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two
Yu Deng, Andrea R. Nahmod, Haitian Yue
We consider the defocusing nonlinear Schrödinger equation on with Wick ordered power nonlinearity, and prove almost sure global well-posedness with respect to the as…
math.AP2019★ 24 cited
Optimal local well-posedness for the periodic derivative nonlinear Schrodinger equation
Yu Deng, Andrea R. Nahmod, Haitian Yue
We prove local well-posedness for the periodic derivative nonlinear Schrodinger's equation, which is L^2 critical, in Fourier-Lebesgue spaces which scale like H^s(T) for s>0. In pa…