On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation
On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation
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DOI：
10.1016/j.jde.2022.01.057
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发表时间：
2021-08
影响因子：
2.4
通讯作者：
Y. Giga;Hiroyoshi Mitake;Shoichi Sato
中科院分区：
文献类型：
--
作者：
Y. Giga;Hiroyoshi Mitake;Shoichi Sato
考虑一类时间分数阶扩散方程的初边值问题。我们证明了两个概念的弱解，粘性解决方案和分配的解决方案的等价性。
We consider an initial-boundary value problem for the time-fractional diffusion equation. We prove the equivalence of two notions of weak solutions, viscosity solutions and distributional solutions.