Strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals

Abstract

The aim of the paper is to give strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals in relatively arbitrary \((n+1)\)-dimensional time-space sets more general than the cylindrical domain.

Keywords

• strong maximum principles
• implicit parabolic problems
• nonlocal inequalities