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

Thangavelu, Sundaram and D, Venku Naidu (2018) Lp -L 2 estimates for solutions of the wave equation associated to the Grushin operator. Advances in Pure and Applied Mathematics, 9 (2). pp. 85-92. ISSN 1867-1152

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Abstract

This article deals with L-p-L-2 estimates for solutions of the wave equation associated to the Grushin operator G := -Delta - vertical bar x vertical bar(2) partial derivative(2)/partial derivative t(2) on Rn+1. We make use of the L-p boundedness of Riesz transforms for the Grushin operator in studying the wave equation

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IITH Creators:	IITH Creators ORCiD D, Venku Naidu UNSPECIFIED
Item Type:	Article
Uncontrolled Keywords:	Grushin operator, Hermite operator, wave equation, Riesz transforms
Subjects:	Mathematics
Divisions:	Department of Mathematics
Depositing User:	Team Library
Date Deposited:	19 Apr 2018 06:45
Last Modified:	19 Apr 2018 06:45
URI:	http://raiithold.iith.ac.in/id/eprint/3877
Publisher URL:	http://doi.org/10.1515/apam-2017-0042
OA policy:	http://www.sherpa.ac.uk/romeo/issn/1867-1152/
Related URLs:	Google Scholar

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