Cheng Luo

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math.FA2025

Local Dispersive and Strichartz estimates for the SchrÃ¶dinger equation associated to the Ornstein-Uhlenbeck operator

Aparajita Dasgupta, Uttam Kumar Dolai, Cheng Luo +1

In this paper we study the linear and nonlinear SchrÃ¶dinger equations associated with the Ornstein-Uhlenbeck (OU) operator endowed with the Gaussian measure. While classical Stric…

math.FA2024

Decay estimates for a class of Dunkl wave equations

Cheng Luo, Shyam Swarup Mondal, Manli Song

Let $I^_{I^} º$ be the Dunkl Laplacian on $R^{n}$ and $I ¨ : R^{+} \to R$ is a smooth function. The aim of this manuscript is twofold. First, we study the decay es…