Transactions of the American Mathematical Society

Author(s): Atanas Stefanov
Journal: Trans. Amer. Math. Soc. 359 (2007), 3589-3607.
MSC (2000): Primary 35Q55, 35J10
Posted: February 23, 2007
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Abstract: We consider the Schrödinger equation with derivative perturbation terms in one space dimension. For the linear equation, we show that the standard Strichartz estimates hold under specific smallness requirements on the potential. As an application, we establish existence of local solutions for quadratic derivative Schrödinger equations in one space dimension with small and rough Cauchy data.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 35Q55, 35J10

Atanas Stefanov
Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
Email: stefanov@math.ku.edu

DOI: 10.1090/S0002-9947-07-04207-9
PII: S 0002-9947(07)04207-9
Received by editor(s): February 25, 2005
Posted: February 23, 2007
Additional Notes: This research was supported in part by NSF-DMS 0300511.
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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