This thesis is concerned with the long-time behaviour of solutions to non-linear abstract parabolic Volterra equations. The focus is both on a wide class of semilinear parabolic Volterra equations and on quasilinear ...

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 ...