A derivation theory for generalized Besicovitch spaces and its application for partial differential equations

Juan Casado-Díaz; Inmaculada Gayte

doi:10.1017/S0308210500001633

Abstract

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We present an extension of Besicovitch spaces, which has its origin in the works of Zhikov et al. and Kozlov and Oleinik. We show that these spaces have a similar behaviour to the Lp spaces, and we give a notion of derivative that allows us to treat partial differential problems in this frame. To the best of our knowledge, this is new, even for the usual Besicovitch spaces.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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A derivation theory for generalized Besicovitch spaces and its application for partial differential equations

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