Mixed Morrey spaces and their applications to partial differential equations

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• 作者：Maria Alessandra Ragusa ; ^{maragusa@dmi.unict.it} ; Andrea Scapellato ^{scapellato@dmi.unict.it}
• 关键词：Mixed Morrey spaces ; PDE ; Regularity
• 刊名：Nonlinear Analysis: Theory, Methods & Applications
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：151
• 期：Complete
• 页码：51-65
• 全文大小：657 K
• 卷排序：151

文摘

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.