Local well-posedness of the nonlinear Schrödinger equations on the sphere for data in modulation spaces

2015/02/15 by Takaoka, Hideo
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1502.04283

Abstract

In this paper we discuss a priori estimates derived from the energy method to the initial value problem for the cubic nonlinear Schrödinger on the sphere S². Exploring suitable a priori estimates, we prove the existence of solution for data whose regularity is s=1/4.

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