Strong maximum principles for infinite implicit parabolic systems



Abstract

In this paper we prove a theorem on strong maximum principles for infinite implicit systems of parabolic differential-functional inequalities together with nonlocal inequalities with functionals in (n + 1)-dimensional sets more general than the cylindrical domain. Results obtained are generalizations of those from [1]–[8] and [10].


Keywords

strong maximum principles; parabolic problems; infinite implicit systems; nonlocal conditions with functionals

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Published : 2014-09-30


ByszewskiL. (2014). Strong maximum principles for infinite implicit parabolic systems. Annales Mathematicae Silesianae, 28, 35-46. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13988

Ludwik Byszewski  lbyszews@pk.edu.pl
Instytut Matematyki, Politechnika Krakowska  Poland



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