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Quadratic nonlinear derivative Schrödinger equations - Part 2
Author(s):
Ioan
Bejenaru
Journal:
Trans. Amer. Math. Soc.
360
(2008),
5925-5957.
MSC (2000):
Primary 35Q55
Posted:
June 5, 2008
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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  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
DOI:
10.1090/S0002-9947-08-04471-1
PII:
S 0002-9947(08)04471-1
Received by editor(s):
October 24, 2006
Posted:
June 5, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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