Abstract
In ×n× we consider the Schrödinger equation (formula presented.)with given boundary value on .ön Here Lk = ||x||∆||k−||x| is a differential-difference-multiplication operator on ×n where k is a multiplicity function for the Dunkl Laplacian Δk ≡0 In the case, L0 is the classical multi-dimensional Laguerre operator. In this paper we obtain Strichartz estimates for the Schrödinger equation (E1). We then prove that Strichartz estimates for the Schrödinger equation (formula presented.)can be obtained from those for (E1). The k≡0 case is already new.
Original language | English |
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Pages (from-to) | 251-269 |
Number of pages | 19 |
Journal | Semigroup Forum |
Volume | 90 |
Issue number | 1 |
DOIs | |
Publication status | Published - Feb 2014 |
Externally published | Yes |
Keywords
- Dunkl Laplacian
- Holomorphic semigroups
- Schrödinger equations
- Strichartz estimates
ASJC Scopus subject areas
- Algebra and Number Theory