Strichartz estimates for the Schrödinger equation

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DOI:

https://doi.org/10.4067/S0719-06462010000300014

Abstract

The objective of this paper is to report on recent progress on Strichartz estimates for the Schrödinger equation and to present the state-of-the-art. These estimates have been obtained in Lebesgue spaces, Sobolev spaces and, recently, in Wiener amalgam and modulation spaces. We present and compare the different technicalities. Then, we illustrate applications to well-posedness.

Keywords

Dispersive estimates , Strichartz estimates , Wiener amalgam spaces , Modulation spaces , Schrödinger equation
  • Elena Cordero Department of Mathematics, University of Torino, v. Carlo Alberto 10, Torino, Italy.
  • Davide Zucco Department of Mathematics, University of Torino, v. Carlo Alberto 10, Torino, Italy.
  • Pages: 213–239
  • Date Published: 2010-10-01
  • Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

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Published

2010-10-01

How to Cite

[1]
E. Cordero and D. Zucco, “Strichartz estimates for the Schrödinger equation”, CUBO, vol. 12, no. 3, pp. 213–239, Oct. 2010.

Issue

Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal

Section

Articles

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