Initial-boundary value problems for fractional diffusion equations with time-dependent coeffcients
Analysis of PDEs
2018-06-12 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1703.07160,
title = {Initial-boundary value problems for fractional diffusion equations with time-dependent coeffcients},
author = {Adam Kubica and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1703.07160},
year = {2018}
}