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.
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页码：276 / 311
页数：35
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