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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中文翻译：

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具时变变量的时分椭圆型方程弱解的存在性和唯一性

摘要：本文致力于讨论具有时变变量系数的时分椭圆型方程弱解的存在性和唯一性。为了获得主要结果，我们的策略是结合Galerkin方法，凸Lyapunov候选函数的分数导数的基本不等式，Yoshida逼近序列和弱紧实度参数。

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