一类变阶时空分数阶扩散方程的适定性与正则性

IF 2 2区数学 Q1 MATHEMATICS

Analysis and Applications Pub Date : 2020-03-02 DOI:10.1142/s0219530520500013

Xiangcheng Zheng, Hong Wang

引用次数: 13

摘要

证明了变阶线性时空分数阶扩散方程在多个空间维度上的适定性。此外，我们还证明了它解的正则性取决于它的性质。。。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Wellposedness and regularity of a variable-order space-time fractional diffusion equation

We prove wellposedness of a variable-order linear space-time fractional diffusion equation in multiple space dimensions. In addition we prove that the regularity of its solutions depends on the beh...

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来源期刊

Analysis and Applications 数学-数学

CiteScore

3.90

自引率

4.50%

发文量

审稿时长

>12 weeks

期刊介绍： Analysis and Applications publishes high quality mathematical papers that treat those parts of analysis which have direct or potential applications to the physical and biological sciences and engineering. Some of the topics from analysis include approximation theory, asymptotic analysis, calculus of variations, integral equations, integral transforms, ordinary and partial differential equations, delay differential equations, and perturbation methods. The primary aim of the journal is to encourage the development of new techniques and results in applied analysis.