L-p estimates for the wave equation associated to the Grushin operator

Jotsaroop, Kaur and Thangavelu, Sundaram (2014) L-p estimates for the wave equation associated to the Grushin operator. In: ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 13 (3). pp. 775-794.

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Abstract

We prove that the solution of the wave equation associated to the Grushin operator G = -Delta -vertical bar x vertical bar(2)partial derivative(2)(t) is bounded on L-P (Rn+1), with 1 < p < infinity, when vertical bar 1/p - 1/2 vertical bar < 1/n+2.

Item Type:	Journal Article
Publication:	ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE
Publisher:	SCUOLA NORMALE SUPERIORE
Additional Information:	Copy right for this article belongs to the SCUOLA NORMALE SUPERIORE, PIAZZA DEI CAVALIERI, 7, PISA, 56126, ITALY
Keywords:	MULTIPLIERS
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	20 Apr 2015 07:50
Last Modified:	20 Apr 2015 07:50
URI:	http://eprints.iisc.ac.in/id/eprint/51270

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