Strichartz estimates for Schrödinger-Laguerre operators

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15 Citations (Scopus)

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 languageEnglish
Pages (from-to)251-269
Number of pages19
JournalSemigroup Forum
Volume90
Issue number1
DOIs
Publication statusPublished - Feb 2014
Externally publishedYes

Keywords

  • Dunkl Laplacian
  • Holomorphic semigroups
  • Schrödinger equations
  • Strichartz estimates

ASJC Scopus subject areas

  • Algebra and Number Theory

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