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2008

Eine Ebene höher
30.12.2008
Abdelaziz Rhandi (Salerno / Marrakesch)
S10, 11:15-13:00
AG Funktionalanalysis
25.11.2008
S10, 14:15-16:00
AG Funktionalanalysis
12.08.2008
András Bátkai (Budapest)
Im Vortrag sollen einige neue Erkenntnisse und zukünftigeForschungsprojekte zu den Problemkreisen Operator Splitting,Raumapproximation und rationale Approximation vorgestellt werden.
S10, 14:15-16:00
AG Funktionalanalysis
07.08.2008
Abdelaziz Rhandi (Salerno)
S10, 14:15-16:00
AG Funktionalanalysis
10.07.2008
Thieu Huy Nguyen (Hanoi)

In this talk, we present the existence of invariant-stable
manifolds of solutions of semi-linear evolution equations
du/dt=A(t)u+f(t,u) in the case that the linear part has an exponential
dichotomy, and the nonlinear forcing term f(t,x) satisfies the non-uniform
Lipschitz condition: |f(t,x)-f(t,y)|< h(t)|x-y| where h(t) is a real and
positive function which belongs to  admissible  function spaces which
contain wide classes of function spaces like  function spaces of Lp type,
the Lorentz spaces L_p,q and many other function spaces occurring in
interpolation theory. Our main method is to use the characterization of
exponential  dichotomy of  evolution families on a half-line in admissible
spaces.

S10, 14:15-16:00
AG Funktionalanalysis
03.07.2008
Dimitri Mugnai (Perugia)
In the last ten years great efforts were devoted to study some nonlinearsystems which describe the interaction of matter with electromagneticfield. The general aspects of the evolution system is still far from beingunderstood, but the search of solitary waves has brought some veryinteresting results, in particular because  solitary waves may exhibitsome strong form of stability (solitons).I will focus on this topic, describing some recent results and many openproblems.
S10, 15:15-16:15
AG Funktionalanalysis
01.07.2008
Lahcen Maniar (Marrakesch)
S10, 15:15-16:15
AG Funktionalanalysis
24.06.2008
Alessandro Zamboni (Parma)
S10, 15:15-16:00
AG Funktionalanalysis
19.06.2008
Monika Winklmeier (Bern)
Die Klein-Gordon-Gleichung ist eine partielle Differentialgleichungzweiter Ordnung aus der Quantenmechanik. Durch einen geeigneten Ansatzläßt sie sich in ein System erster Ordnung umschreiben. Der zugehörigeOperator weist bei geeignetem Potential eine Spektrallücke auf. Untergewissen Voraussetzungen an das Potential ist der Grundzustand in derLücke einfach.
S10, 14:15-16:00
AG Funktionalanalysis
03.04.2008
Boris Baeumer (Otago)

In this talk we derive the one-dimensional fractional advection-dispersion equation and lift it onto flow-lines via subordination; i.e., anomalous dispersion is obtained by randomising velocities rather than randomising the variance of the classical diffusion operator.
In particular, we investigate semigroups that are obtained by subordinating a group. We compute their infinitesimal generators, give a core for their domains and show via a transference principle that properties of the subordinator induce properties of the obtained semi-group. For example, we show that all non-odd powers of the generator of a group generate an analytic semigroup. We extend Balakrishnan's operational calculus to generators of groups and present an approximation theorem which greatly enhances the utility
of the operational calculus and allows the transfer of numerical approximation schemes. Finally we put it all together and give an application to hydrology modelling solute transport on a regional scale.

S10, 14:15-16:00
AG Funktionalanalysis
15.02.2008
Patricio Jara (LSU, Baton Rouge)
S10, 11:15-13:00
AG Funktionalanalysis
14.02.2008
Graziano Gentili (Florenz)

In this talk we present the basic elements and results of a new theory of regular functions of one quaternionic variable. The theory we describe starts  from a classical idea of Cullen, but we use a more geometric and general formulation to show that it is possible to build a rather complete theory.  Many classical results in complex analysis  are extended to regular functions: the identity principle, the maximum modulus principle, the Cauchy representation formula, the Liouville theorem, the Morera theorem, the open mapping theorem and the Schwarz  lemma. Moreover the zero-set of such functions have nice geometric properties. What we ﬁnd is  intriguing because, among other things, it allows the study of natural power series (and polynomials) with quaternionic coeﬃcients, which is excluded when the Fueter approach is followed.

M1, 17:00-18:00
AG Funktionalanalysis
14.02.2008
Mark Veraar (Karlsruhe)
In this talk we study the non-autonomous stochastic Cauchy  problem on a real Banach space E,     dU(t) = A(t)U(t)dt + B(t)dWH(t),  t in [0,T],and U(0) = u0. Here, W_H is a cylindrical Brownian motion on a real separable Hilbert space H, B(t) are closed and densely defined operators from a constant domain D(B) in H into E, (A(t)) denotes the generator of an evolution family on E, and u0 in E. We study existence of weak and mild solutions and time regularity of the solution. In the second part, we consider the parabolic case in the setting of Acquistapace and Terreni. In this situation we obtain space-time regularity results. The theory will be demonstrated with some examples. In the last part, we consider maximal regularity of the solution. Here the operators A(t) are assumed to be as in the setting of Kato and Tanabe.
M1, 15:30-16:30
AG Funktionalanalysis
14.02.2008
Michael Einemann (Ulm)
M1, 14:30-15:30
AG Funktionalanalysis
12.02.2008
S10, 15:15-17:00
AG Funktionalanalysis
12.02.2008
In this talk we will introduce a new phase space to deal with infinite delay functional differential equations. Our approach is included in the field of skew-product dynamical systems. Then we will present some results in the context of monotone and concave systems of equations, together with some applications.
S10, 14:15-15:15
AG Funktionalanalysis
07.02.2008
Gregor Giesen (Tübingen)
S10, 14:15-16:00
AG Funktionalanalysis
31.01.2008
Florian Ruoss (Tübingen)
S10, 16:15-17:15
AG Funktionalanalysis
31.01.2008
Dávid Kunszenti-Kovács (Tübingen)
The aim is to present a probabilistic approach to the question of flows in finite ergodic networks. The process described by the transport equation can be regarded as a linear extension of a random process on the network. This enables us to use tools and results from probability theory (in particular Markov chain theory), which in combination with some graph theoreticalmanipulations leads to a description of the asymptotic behaviour of the flow in the network. We shall also see that the linear operator mapping the initial distribution to the asymptotic distribution is strongly linked to asuitable factorization of the underlying graph.
S10, 14:15-16:00
AG Funktionalanalysis
30.01.2008
Iwona Wrobel (Warschau)
S10, 11:15-13:00
AG Funktionalanalysis
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Vorträge
AG Funktionalanalysis
Mathias Schickel:
Über Multiplikationsoperatoren
S10,
27.06.2013
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