Mixed Morrey spaces and their applications to partial differential equations. (March 2017)

• Record Type: Journal Article
• Authors: Ragusa, Maria Alessandra; Scapellato, Andrea
• Is Part Of: Nonlinear analysis. Volume 151(2017)
• Page Start: 51
• Page End: 65
• Publication Date: 2017-03
• Subjects: Mixed Morrey spaces -- PDE -- Regularity; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2016.11.017
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, new classes of functions are defined. These spaces generalize Morrey spaces and give a refinement of Lebesgue spaces. Some embeddings between these new classes are also proved. Finally, the authors apply these classes of functions to obtain regularity results for solutions of partial differential equations of parabolic type.