Glasnik matematički, Vol. 47 No. 2, 2012.
Original scientific paper
https://doi.org/10.3336/gm.47.2.11
Global space-time L^p-estimates for the Airy operator on L^2(R^2) and some applications
Aicha Chaban
; Département de Mathématiques, Université d'Oran (Es-senia), B.P. 1524, El Menouar, Oran 31000, Algeria
Mohammed Hichem Mortad
; Département de Mathématiques, Université d'Oran (Es-senia), B.P. 1524, El Menouar, Oran 31000, Algeria
Abstract
Let L be the Airy operator. The aim of this paper is to prove some a priori estimates for L defined as an unbounded operator on L2(R2). Some applications and counterexamples are also given.
Keywords
Airy equation and operator; a priori estimates; relative boundedness; perturbation; self-adjoint operators
Hrčak ID:
93951
URI
Publication date:
19.12.2012.
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