We present in a unified context several Poincaré type inequalities involving median: the list includes also inequalities which hold true for functions lacking summability properties. Such inequalities take the form of L^p estimates of suitable truncations of u in terms of L^q norm of the absolutely continuous part of the derivatives. These inequalities can be applied to several free discontinuity problems, mainly in image segmentation and inpainting and in continuum mechanics.
About Poincaré Inequalities for Functions Lacking Summability
CARRIERO, Michele;LEACI, Antonio;
2011-01-01
Abstract
We present in a unified context several Poincaré type inequalities involving median: the list includes also inequalities which hold true for functions lacking summability properties. Such inequalities take the form of L^p estimates of suitable truncations of u in terms of L^q norm of the absolutely continuous part of the derivatives. These inequalities can be applied to several free discontinuity problems, mainly in image segmentation and inpainting and in continuum mechanics.File in questo prodotto:
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