On quadratic derivative Schrödinger equations in one space dimension
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Issue Date
2007-02-23Author
Stefanov, Atanas G.
Publisher
American Mathematical Society
Type
Article
Article Version
Scholarly/refereed, publisher version
Metadata
Show full item recordAbstract
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.
Description
This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9947-07-04207-9. First published in Trans. Amer. Math. Soc. in 2007, published by the American Mathematical Society.
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Citation
Stefanov, Atanas G. "On quadratic derivative Schrödinger equations in one space dimension." Trans. Amer. Math. Soc. 359 (2007), 3589-3607. http://dx.doi.org/10.1090/S0002-9947-07-04207-9.
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