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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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https://hal.archives-ouvertes.fr/hal-02905019
Contributor : Hong-Wei Zhang <>
Submitted on : Friday, July 24, 2020 - 12:41:02 PM
Last modification on : Tuesday, July 28, 2020 - 4:27:09 PM

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  • HAL Id : hal-02905019, version 2

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Hong-Wei Zhang. Wave equation on certain noncompact symmetric spaces. 2020. ⟨hal-02905019v2⟩

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