Strong Maximum Principles for Infinite Systems of Parabolic Differential-functional Inequalities with Nonstandard Initial Inequalities
نویسنده
چکیده
The aim of this paper is to present strong maximum principles for infinite systems of parabolic differential-functional inequalities with nonstandard initial inequalities with sums in relatively arbitrary (n+1)-dimensional time-space sets more general than the cylindrical domain.
منابع مشابه
Infinite Systems of Strong Parabolic Differential–functional Inequalities
We investigate a weakly coupled infinite system of nonlinear strong parabolic differential–functional inequalities of the following form (1) ∂tz (t, x) < f (t, x, z(t, x), ∂xz (t, x), ∂ xxz (t, x), z), i ∈ S, in an arbitrary domain D. The right-hand sides f i of these inequalites are functionals of an unknown function z and Volterra functionals only will be regarded in this paper. We give a fun...
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