On the Schatten exponent in orthonormal Strichartz estimate for the Dunkl operators

2024/06/19 by Sunit Ghosh, Jitendriya Swain, Ghosh, Sunit +1 · 1 citation
Mathematics · #Mathematical Analysis and Transform Methods #Advanced Mathematical Physics Problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2406.13456

Abstract

In \citePRA and \citeSSM the orthonormal Strichartz estimates for the Schrödinger equation associated with the Dunkl Laplacian and the Dunkl-Hermite operator are obtained. In this article, we prove a necessary condition on the Schatten exponent for the above orthonormal Strichartz estimates, which turns out to be optimal for the Schrödinger equations associated with Laplacian and Hermite operator as a special case.

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• Restriction Theorem and Strichartz estimate for orthonormal functions associated with the Special Hermite Operator

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