UNIFORMLY ELLIPTIC OPERATORS ON DOMAINS
This chapter is devoted to second-order uniformly elliptic operators considered on domains of and subject to various boundary conditions. We apply the criteria of positivity, L∞-contractivity, and domination of semi-groups, stated in an abstract setting in the previous chapters, to concrete situations of differential operators. The operators under consideration here may have real-or complex-valued measurable coefficients. The aim is to describe precisely how the above properties of the semigroup depend on the boundary conditions and on the coefficients of the operator.
4.1 EXAMPLES OF BOUNDARY ...