Weak Solutions of a Reaction Diffusion System
with Superdiffusion and Its Optimal Control |
| |
Authors: | Biao Liu Ranchao Wu Liping Chen |
| |
Institution: | School of Mathematical Sciences, Anhui University, Hefei, Anhui 230601,
China; School of Electrical Engineering and Automation, Hefei University of Tech-
nology, Hefei, Anhui 230009, China |
| |
Abstract: | The existence and uniqueness of weak solutions to the 2-dimensional
reaction diffusion system with superdiffusion and the optimal control of such
model are investigated in this paper. Fractional function spaces, Galerkin ap-
proximation method and Gronwall inequality are used to obtain the existence
and uniqueness of weak solutions. On this basis, an optimal control prob-
lem of such superdiffusive system is further considered by using the minimal
sequence. |
| |
Keywords: | Weak solutions optimal control reaction-diffusion Riesz opera-
tor |
|
| 点击此处可从《》浏览原始摘要信息 |
| 点击此处可从《》下载免费的PDF全文 |
|