Quadratic nonlinear derivative Schrödinger equations - Part 2

Ioan Bejenaru

Type: Article

Publication Date: 2008-06-05

Citations: 13

DOI: https://doi.org/10.1090/s0002-9947-08-04471-1

Abstract

In this paper we consider the local well-posedness theory for the quadratic nonlinear SchrÃ¶dinger 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 for small initial data with low regularity.

Locations

arXiv (Cornell University) - View - PDF
Transactions of the American Mathematical Society - View - PDF

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+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler
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