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Hardy Type Inequalities for Abstract Differential Operators

Werner O. AmreinAnne Boutet de Monvel-BerthierVladimir Georgescu

出版	American Mathematical Soc., 1987
主題	Mathematics / GeneralMathematics / Differential Equations / PartialMathematics / Functional Analysis
ISBN	08218243849780821824382
URL	http://books.google.com.hk/books?id=gEPUCQAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

This paper is concerned with certain estimates on the asymptotic behaviour of the functions [italic]u defined on an interval (a, [infinity symbol]) with values in a Hilbert space [italic]H. More precisely, if [italic]L is a second order ordinary differential operator the coefficients of which are operators acting in [italic]H, we wish to obtain inequalities allowing one to get information about the behaviour of a function [italic]u in a neighborhood of infinity from the asymptotic behaviour of the function [italic]L[italic]u. These inequalities will be called Hardy type inequalities.