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Lp-L 2 estimates for solutions of the wave equation associated to the Grushin operator

Thangavelu, S and Dogga, VN (2018) Lp-L 2 estimates for solutions of the wave equation associated to the Grushin operator. In: Advances in Pure and Applied Mathematics, 9 (2). pp. 85-92.

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Official URL: https://doi.org/10.1515/apam-2017-0042

Abstract

This article deals with Lp-L2 estimates for solutions of the wave equation associated to the Grushin operator G := EQUATION PRESENTED. We make use of the Lp boundedness of Riesz transforms for the Grushin operator in studying the wave equation.

Item Type: Journal Article
Publication: Advances in Pure and Applied Mathematics
Publisher: Walter de Gruyter GmbH
Additional Information: The copyright for this article belongs to the Walter de Gruyter GmbH.
Keywords: Grushin operator; Hermite operator; Riesz transforms; wave equation
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 08 Aug 2022 09:08
Last Modified: 08 Aug 2022 09:08
URI: https://eprints.iisc.ac.in/id/eprint/75604

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