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math.AP2020
A sharp regularity estimate for the Schrödinger propagator on the sphere
Xianghong Chen, Xuan Thinh Duong, Sanghyuk Lee +1
Let denote the Laplace-Beltrami operator on the -dimensional unit sphere . In this paper we show that $$ \| e^{it Δ_{\mathbb S^n}}f \|_{L^4([0, 2π…
math.AP2020★ 1 cited
The Schrödinger equation in spaces for operators with heat kernel satisfying Poisson type bounds
Peng Chen, Xuan Thinh Duong, Zhijie Fan +2
Let be a non-negative self-adjoint operator acting on where is a space of homogeneous type with a dimension . In this paper, we study sharp endpoint -Sobol…