论文标题
关于时间依赖性变量系数的时间分数椭圆方程的弱解决方案的存在和独特性
On the existence and uniqueness of weak solutions to time-fractional elliptic equations with time-dependent variable coefficients
论文作者
论文摘要
本文致力于讨论具有时间依赖性变量系数的时间分数椭圆方程的弱解的存在和唯一性。为了获得主要结果,我们的策略是结合Galerkin方法,Galerkin方法是凸Lyapunov候选函数的分数衍生物的基本不等式,吉田越近似序列和弱的紧凑性参数。
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.