In this PhD thesis, strongly continuous operator semigroups are studied. We show that contractivity or positivity of such a semigroup can have a profound impact on its long time behaviour. Moreover, we perform a detailed ...

The aim of the present thesis is to analyze second order parabolic equations with non-local boundary conditions of Dirichlet and Robin type on the spaces L∞(Ω) and C(Ω̅). We will prove well-posedness of such equations and ...