Strichartz Estimates for the Schrödinger Equation

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 t...

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Detalles Bibliográficos
Autores principales: CORDERO,ELENA, ZUCCO,DAVIDE
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2010
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462010000300014
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Sumario: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.