Initial-boundary Value Problems for Fractional Diffusion Equations with Time-Dependent Coefficients

被引：0

作者：

Adam Kubica

Masahiro Yamamoto

机构：

[1] Warsaw University of Technology,Department of Mathematics and Information Sciences

[2] The University of Tokyo,Department of Mathematical Sciences

来源：

Fractional Calculus and Applied Analysis | 2018年 / 21卷

关键词：

Primary 35R11; Secondary 35K45; 26A33; 34A08; fractional diffusion equation; initial-boundary value problem; regularity; weak solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We discuss an initial-boundary value problem for a fractional diffusion equation with Caputo time-fractional derivative where the coefficients are dependent on spatial and time variables and the zero Dirichlet boundary condition is attached. We prove the unique existence of weak and regular solutions.

引用

页码：276 / 311

页数：35

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