Quadratic Nonlinear Derivative Schrödiger Equations - Part 1
Ioan Bejenaru
Abstract
In this paper we consider the local well-posedness theory for the quadratic nonlinear Schrödinger equation with low regularity initial data in the case when the nonlinearity contains derivatives. We work in 2+1 dimensions and prove a local well-posedness result up to the scaling for small initial data with some spherical symmetry structure.
Create a lesson
Related papers
Strong Unique Continuation for Fractional Schrödinger Operators
Harsh Prasad
Parameter-uniform Robin uniqueness on large dilations
Sophie Sun
Sharp Dispersive and Strichartz Estimates for the Neumann Cylindrical Wave Model
Len Meas
Exact counting of spherical metrics with one conical singularity on rectangular tori
Zhijie Chen, Shihong Zhang
Łojasiewicz--Simon inequalities near bubbling configurations for the Yamabe functional on bounded domains
Tianling Jin, Jingang Xiong, Ning Zhou
Gradient Estimates Near the Natural Exponent for Very Weak Solutions to Ap-Weighted Quasilinear Elliptic Equations
Sun-Sig Byun, Minkyu Lim