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

Ludwik Byszewski

Abstract


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

Mathematics Subject Classification


2000 Mathematics Subject Classification: 35R45, 35K20, 35K60, 35B50.

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