TY - JOUR
T1 - Weak Solutions of a Reaction Diffusion System with Superdiffusion and Its Optimal Control
AU - Liu , Biao
AU - Wu , Ranchao
AU - Chen , Liping
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 271
EP - 282
PY - 2021
DA - 2021/04
SN - 1
DO - http://doi.org/10.12150/jnma.2019.271
UR - https://global-sci.org/intro/article_detail/jnma/18863.html
KW - Weak solutions, optimal control, reaction-diffusion, Riesz operator.
AB - <p style="text-align: justify;">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 approximation method and Gronwall inequality are used to obtain the existence and uniqueness of weak solutions. On this basis, an optimal control problem of such superdiffusive system is further considered by using the minimal sequence.</p>