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Journal Articles Pure and Applied Analysis Year : 2021

Wave equation on certain noncompact symmetric spaces

Abstract

In this paper, we prove sharp pointwise kernel estimates and dis-persive properties for the linear wave equation on noncompact Riemannian symmetric spaces G/K of any rank with G complex. As a consequence, we deduce Strichartz inequalities for a large family of admissible pairs and prove global well-posedness results for the corresponding semilinear equation with low regularity data as on hyperbolic spaces.
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Dates and versions

hal-02905019 , version 1 (23-07-2020)
hal-02905019 , version 2 (24-07-2020)
hal-02905019 , version 3 (22-07-2021)

Identifiers

  • HAL Id : hal-02905019 , version 3

Cite

Hong-Wei Zhang. Wave equation on certain noncompact symmetric spaces. Pure and Applied Analysis, 2021. ⟨hal-02905019v3⟩
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