Asymptotic behavior of solutions to the heat equation on noncompact symmetric spaces

DOI10.1016/j.jfa.2022.109828OpenAlexW3216672159MaRDI QIDQ2680209

Effie Papageorgiou, Hong-Wei Zhang, Jean-Philippe Anker

Publication date: 30 January 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.01323

zbMATH Keywords

asymptotic behaviorheat equationnoncompact symmetric spacedistinguished Laplacian

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05) Analysis on real and complex Lie groups (22E30) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (1)

Asymptotic Behavior of the Heat Semigroup on Certain Riemannian Manifolds

Cites Work

• The spherical Fourier transform of rapidly decreasing functions. A simple proof of a characterization due to Harish-Chandra, Helgason, Trombi, and Varadarajan
• Asymptotic finite propagation speed for heat diffusion on certain Riemannian manifolds
• Heat kernel and Green function estimates on noncompact symmetric spaces
• Weak Type (1, 1) Estimates for Heat Kernel Maximal Functions on Lie Groups
• Duality and Radon Transform for Symmetric Spaces
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