Null controllability of coupled systems of degenerate parabolic integro-differential equations

[摘要] This article concerns the null controllability of a coupled system of two degenerate parabolic integro-differential equations with one locally distributed control force. Since the memory terms do not allow applying the standards Carleman estimates directly, we start by proving a null controllability result for an associated nonhomogeneous degenerate coupled system employing new Carleman estimates with appropriate weight functions. As a consequence, we deduce the null controllability result for the initial memory system by using the Kakutani's fixed point Theorem.

[学科分类] 数学（综合）

[关键词] Carleman estimates;parabolic systems involving memory terms;observability inequality;null controllability