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arXiv · 2007.11724

Wave equation on certain noncompact symmetric spaces

Hong-Wei Zhang
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Abstract

In this paper, we prove sharp pointwise kernel estimates and dispersive 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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Hong-Wei Zhang. 2020-07-23. Wave equation on certain noncompact symmetric spaces. https://doi.org/10.2140/paa.2021.3.363

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