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handle: 11583/2728914 , 2318/70091
The objective of this paper is to report on recent progress on Strichartz estimates for the Schr��dinger 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.
arXiv admin note: text overlap with arXiv:0707.4584
Wiener amalgam spaces, Schrödinger equation, Dispersive estimates; Strichartz estimates; Wiener amalgam spaces; Modulation spaces, Strichartz estimates, Modulation spaces, Mathematics - Analysis of PDEs, QA1-939, FOS: Mathematics, Dispersive estimates, Mathematics, Analysis of PDEs (math.AP)
Wiener amalgam spaces, Schrödinger equation, Dispersive estimates; Strichartz estimates; Wiener amalgam spaces; Modulation spaces, Strichartz estimates, Modulation spaces, Mathematics - Analysis of PDEs, QA1-939, FOS: Mathematics, Dispersive estimates, Mathematics, Analysis of PDEs (math.AP)
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