Research
Research interests
- Harmonic analysis on symmetric and locally symmetric spaces
- Partial differential equations on manifolds
Preprints
- Preprint
Growth estimates for solutions to the wave equation on Damek-Ricci spaces
Yunxiang Wang, Lixin Yan, and Hong-Wei Zhang
- Preprint
Massless Dirac equation on spinor bundles over real hyperbolic spaces
Long Meng, Hong-Wei Zhang, and Junyong Zhang
- Preprint
Stein-Weiss inequality on non-compact symmetric spaces
Vishvesh Kumar, Michael Ruzhansky, and Hong-Wei Zhang
- Preprint
Smoothing properties of dispersive equations on non-compact symmetric spaces
Vishvesh Kumar, Michael Ruzhansky, and Hong-Wei Zhang
Publications
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2026
Lacunary spherical maximal operators on hyperbolic spaces
Yunxiang Wang and Hong-Wei Zhang
Math. Z. 313 (2026), no. 2, Paper No. 40.
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2024
L2-spectrum, growth indicator function and critical exponent on locally symmetric spaces
Lasse L. Wolf and Hong-Wei Zhang
Proc. Amer. Math. Soc. 152 (2024), no. 12, 5445-5453.
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2024
Wave equation on general noncompact symmetric spaces
Jean-Philippe Anker and Hong-Wei Zhang
Amer. J. Math. 146 (2024), no. 4, 983-1031.
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2024
Space-time mixed norm estimates in Riemannian symmetric spaces of non-compact type
Hong-Wei Zhang
Research Perspectives Ghent Analysis and PDE Center, Trends Math., vol. 3.
Birkhäuser/Springer, Cham, 2024, 229-234.
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2023
Asymptotic behavior of the heat semigroup on certain Riemannian manifolds
Alexander Grigor'yan, Effie Papageorgiou, and Hong-Wei Zhang
From Classical Analysis to Analysis on Fractals, Appl. Numer. Harmon. Anal.
Birkhäuser/Springer, Cham, 2023, 165-179.
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2023
Schrödinger equation on noncompact symmetric spaces
Jean-Philippe Anker, Stefano Meda, Vittoria Pierfelice, Maria Vallarino, and Hong-Wei Zhang
J. Differential Equations 356 (2023), 163-187.
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2023
Asymptotic behavior of solutions to the heat equation on noncompact symmetric spaces
Jean-Philippe Anker, Effie Papageorgiou, and Hong-Wei Zhang
J. Funct. Anal. 284 (2023), no. 6, Paper No. 109828, 43 pp.
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2022
Bottom of the L2 spectrum of the Laplacian on locally symmetric spaces
Jean-Philippe Anker and Hong-Wei Zhang
Geom. Dedicata 216 (2022), no. 1, Paper No. 3, 12 pp.
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2021
Wave equation on certain noncompact symmetric spaces
Hong-Wei Zhang
Pure Appl. Anal. 3 (2021), no. 2, 363-386.
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2020
Wave and Klein-Gordon equations on certain locally symmetric spaces
Hong-Wei Zhang
J. Geom. Anal. 30 (2020), no. 4, 4386-4406.
Other writings
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2020
Équation des ondes sur les espaces symétriques et localement symétriques de type non compact
Hong-Wei Zhang
Ph.D. thesis, University of Orléans, 2020.