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math.AP2019
Modified Strichartz Estimate of the Periodic Fourth Order NLS
Brian J. Choi
We prove modified Strichartz estimates on the one-dimensional torus, that are adapted to a fourth-order dispersion relation, and use them to show global well-posedness of nonlinear…
math.AP2019
Small Time Behavior and Summability for the Schrödinger Equation
Brian Choi
We consider the Carleson's problem regarding small time almost everywhere convergence to initial data for the Schrödinger equation, both linear and nonlinear on . It is…
math.AP2019
Remark on the Adiabatic Limit of Quantum Zakharov System
Brian Choi
This paper is concerned with the low regularity well-posedness of the adiabatic limit of the quantum Zakharov system, which is a modified nonlinear Schrödinger equation (NLSE). As…