Lorentz space extension of Strichartz estimates

Author:

Ahn Cheonghee,Cho Yonggeun

Abstract

In this paper, Strichartz estimates for the solution of the Schrödinger evolution equation are considered on a mixed normed space with Lorentz norm with respect to the time variable.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference21 articles.

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2. N. Burq, F. Planchon, J.G. Stalker and A. S. Tahvildar-Zadeh, Strichartz estimates for the Wave and Schrödinger Equations with Potentials of Critical Decay, in preprint.

3. The Cauchy problem for the critical nonlinear Schrödinger equation in 𝐻^{𝑠};Cazenave, Thierry;Nonlinear Anal.,1990

4. A maximal inequality for filtration on some function spaces;Cho, Yonggeun;Osaka J. Math.,2004

5. Maximal functions associated to filtrations;Christ, Michael;J. Funct. Anal.,2001

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