Zobrazeno 1 - 10
of 1 617
pro vyhledávání: '"Zhang Hong-wei"'
We prove a sharp-in-time dispersive estimate of the Dirac equation on spinor bundles over the real hyperbolic space. Compared with the Euclidean counterparts, our result shows that the dispersive estimate differs between short and long times, reflect
Externí odkaz:
http://arxiv.org/abs/2411.19597
Autor:
Wolf, Lasse L., Zhang, Hong-Wei
Publikováno v:
Proc. Amer. Math. Soc. 2024
In this short note we observe, on locally symmetric spaces of higher rank, a connection between the growth indicator function introduced by Quint and the modified critical exponent of the Poincar\'e series equipped with the polyhedral distance. As a
Externí odkaz:
http://arxiv.org/abs/2311.11770
Let $\Delta$ be the Laplace-Beltrami operator on a non-compact symmetric space of any rank, and denote the bottom of its $L^2$-spectrum as $-|\rho|^{2}$. In this paper, we provide a comprehensive characterization of both the sufficient and necessary
Externí odkaz:
http://arxiv.org/abs/2310.19412
Publikováno v:
Chinese Journal of Contemporary Neurology and Neurosurgery, Vol 24, Iss 11, Pp 968-973 (2024)
Externí odkaz:
https://doaj.org/article/d610191fbf964c88bb66c50297483907
We establish the Kato-type smoothing property, i.e., global-in-time smoothing estimates with homogeneous weights, for the Schr\"odinger equation on Riemannian symmetric spaces of non-compact type and general rank. These form a rich class of manifolds
Externí odkaz:
http://arxiv.org/abs/2302.03961
We show that, on a complete, connected and non-compact Riemannian manifold of non-negative Ricci curvature, the solution to the heat equation with $L^{1}$ initial data behaves asymptotically as the mass times the heat kernel. In contrast to the previ
Externí odkaz:
http://arxiv.org/abs/2205.06105
This paper is twofold. The first part aims to study the long-time asymptotic behavior of solutions to the heat equation on Riemannian symmetric spaces $G/K$ of noncompact type and of general rank. We show that any solution to the heat equation with b
Externí odkaz:
http://arxiv.org/abs/2112.01323
Autor:
Liu, Shu-zhi, Ding, Wei, Zhang, Hong-wei, Li, Zhu-shuai, Tian, Ke-chun, Liu, Ce, Geng, Zeng-chao, Xu, Chen-yang
Publikováno v:
In Chemosphere July 2024 359
We establish sharp-in-time kernel and dispersive estimates for the Schr\"odinger equation on non-compact Riemannian symmetric spaces of any rank. Due to the particular geometry at infinity and the Kunze-Stein phenomenon, these properties are more pro
Externí odkaz:
http://arxiv.org/abs/2104.00265
Autor:
Anker, Jean-Philippe, Zhang, Hong-Wei
Publikováno v:
Amer. J. Math. 146 (2024), no.4, 983-1031
We establish sharp pointwise kernel estimates and dispersive properties for the wave equation on noncompact symmetric spaces of general rank. This is achieved by combining the stationary phase method and the Hadamard parametrix, and in particular, by
Externí odkaz:
http://arxiv.org/abs/2010.08467