Parabolic systems non-cooperative system comparison principle
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Pliska Studia Mathematica Bulgarica, Vol. 29, No 1, (2018), 37p-46p
In this article is considered the validity of the maximum principle for noncooperative linear parabolic systems. Unlike the cooperative ones, when cooperativeness is a sufficient condition for maximum principle, simple examples show that for non-cooperative systems there is no general validity of the maximum principle. In this work are given some conditions for global on time variable validity of the maximum principle, as well as some local on time sufficient conditions for it. 2010 Mathematics Subject Classification: 35J47, 35J57.