Quadratic nonlinear derivative Schrödinger equations - Part 2
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- by Ioan Bejenaru PDF
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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 for small initial data with low regularity.References
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Additional Information
- Ioan Bejenaru
- Affiliation: Department of Mathematics, UCLA, Los Angeles, California 90095-1555
- Address at time of publication: Department of Mathematics, Texas A & M University, College Station, Texas 77843-3368
- Email: bejenaru@math.ucla.edu
- Received by editor(s): October 24, 2006
- Published electronically: June 5, 2008
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 5925-5957
- MSC (2000): Primary 35Q55
- DOI: https://doi.org/10.1090/S0002-9947-08-04471-1
- MathSciNet review: 2425697