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Invariant sets and long time behaviour of operator semigroups
(Universität Ulm, 2017-02-10)
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 ...
Second order parabolic equations with non-local boundary conditions on L∞(Ω) and C(Ω̅): generation, regularity and asymptotics
(Universität Ulm, 2017-07-05)
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 ...