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arXiv · 2406.13456

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

Sunit Ghosh·Jitendriya Swain
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Abstract

In \cite{PRA} and \cite{SSM} the orthonormal Strichartz estimates for the Schr\"odinger 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 Schr\"odinger equations associated with Laplacian and Hermite operator as a special case.

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Sunit Ghosh, Jitendriya Swain. 2024-06-19. On the Schatten exponent in orthonormal Strichartz estimate for the Dunkl operators. https://arxiv.org/abs/2406.13456

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