Now showing items 1-10 of 46
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 ...
The principle of linearised stability for non-linear parabolic Volterra equations
(Universität Ulm, 2018-07-12)
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 ...
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 ...
Adding randomness to nonlinear semigroups: existence, uniqueness and asymptotic results
(Universität Ulm, 2018-11-15)
The origins of this thesis lie in the present author’s study of the asymptotic behavior of the weighted p-Laplacian evolution equation, which is one of the bench marks of nonlinear evolution equations and used to model ...
Vector-valued elliptic boundary value problems on rough domains
(Universität Ulm, 2019-02-07)
In this thesis we study elliptic boundary value problems in the setting of vector-valued functions on arbitrary open and bounded sets. The first part considers Sobolev spaces of vector-valued functions, in particular mapping ...
J. L. Lions' problem on maximal regularity
(Universität Ulm, 2017)
Diffusion with nonlocal Robin boundary conditions
(Universität Ulm, 2018)
On the infinite product of C0-semigroups
(Universität Ulm, 1997)
Asymptotically almost periodic solutions of inhomogeneous cauchy problems on the half-line
(Universität Ulm, 1996)
Almost periodic solutions of first and second order cauchy problems
(Universität Ulm, 1996-09-20)