On optimal parameter selection for parabolic differential systems

In ordinary differential systems, it has been shown [4] recently that Boltyanskii's necessary conditions for optimal parameter selection [3, p. 263] can be easily derived from Gamkrelidze's general maximum principle [2]. In this note, necessary conditions on optimal parameter selection problem of parabolic differential systems are reported by using a recent result of Zolezzi [1]. The result is illustrated by an example.