Oscillatory Integrals and L Estimates for Schrödinger Equations
نویسندگان
چکیده
This paper is concerned with Schrödinger equations whose principal operators are elliptic. Under certain degenerate condition we show the estimate of an oscillatory integral related to the solution operator in free case, and then employ fractionally integrated groups to obtain the Lp estimate of solutions for the initial data belonging to a dense subspace of Lp in the case of integrable potentials, which improves the corresponding result in [BE]. This project was supported by TRAPOYT and the National Science Foundation of China. 2000 Mathematics Subject Classification: Primary 35J10; Secondary 42B10, 47D62.
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تاریخ انتشار 2004