论文标题
混合的莫雷空间及其在部分微分方程中的应用
Mixed Morrey spaces and their applications to partial differential equations
论文作者
论文摘要
在本文中,定义了新的功能类别。这些空间概括了莫雷的空间,并提供了Lebesgue空间的改进。这些新类之间的一些嵌入也得到了证明。最后,作者应用了这些类别的功能来获得抛物线类型偏微分方程的解决方案解决方案的规律性结果。
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.