On the existence and uniqueness of weak solutions to time-fractional elliptic equations with time-dependent variable coefficients
Analysis of PDEs
2021-01-29 v2
Abstract
This paper is devoted to discussing the existence and uniqueness of weak solutions to time-fractional elliptic equations having time-dependent variable coefficients. To obtain the main result, our strategy is to combine the Galerkin method, a basic inequality for the fractional derivative of convex Lyapunov candidate functions, the Yoshida approximation sequence and the weak compactness argument.
Keywords
Cite
@article{arxiv.2011.04938,
title = {On the existence and uniqueness of weak solutions to time-fractional elliptic equations with time-dependent variable coefficients},
author = {H. T. Tuan},
journal= {arXiv preprint arXiv:2011.04938},
year = {2021}
}