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arXiv · 2011.04938

On the existence and uniqueness of weak solutions to time-fractional elliptic equations with time-dependent variable coefficients

H. T. Tuan
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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.

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H. T. Tuan. 2020-11-10. On the existence and uniqueness of weak solutions to time-fractional elliptic equations with time-dependent variable coefficients. https://arxiv.org/abs/2011.04938

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