On sharp Strichartz inequalities in low dimensions
Open Access
- 1 January 2006
- journal article
- Published by Oxford University Press (OUP) in International Mathematics Research Notices
- Vol. 2006, 1-19
- https://doi.org/10.1155/imrn/2006/34080
Abstract
Recently, Foschi gave a proof of a sharp Strichartz inequality in one and two dimensions. In this paper, a new representation in terms of an orthogonal projection operator is obtained for the space-time norm of solutions of the free Schrödinger equation in dimensions one and two. As a consequence, the sharp Strichartz inequality follows from the elementary property that orthogonal projections do not increase the norm.Keywords
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