论文标题

与Dunkl Laplacian和Hermite-Schrödinger操作员相关的正交功能的Strichartz不平等

Strichartz inequality for orthonormal functions associated with Dunkl Laplacian and Hermite-Schrödinger operators

论文作者

Senapati, P Jitendra Kumar, Boggarapu, Pradeep

论文摘要

与dunkl Hermite操作员$H_κ$相关的自由schrödinger方程解决方案解决方案的不等式的不平等概括为具有初始数据的任何正规函数系统。 Schrödinger传播器的核($ e^{ - itH_κ} $和$ e^{itδ_κ} $)与Dunkl Hermite和Dunkl Laplacian操作员相关的相关性是使用相应的Schtrichartz不平等的schtrichart norquality与dunkl laplacian Is to nes nes nes nes nes nes nes nes of berthemormal informal ins of to的。

Strichartz inequality for the solutions of free Schrödinger equation associated with Dunkl Hermite operator $H_κ$ is generalized to any system of orthonormal functions with initial data. A relation between the kernels of Schrödinger propagators ($e^{-it H_κ}$ and $e^{itΔ_κ}$) associated with the Dunkl Hermite and Dunkl Laplacian operators is established using which corresponding Schtrichartz inequality for orthonormal functions associated with Dunkl Laplacian is obtained.

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