ISEM 2013/2014
Artikelaktionen
2008
Eine Ebene höher-
30.12.2008Abdelaziz Rhandi (Salerno / Marrakesch)
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S10, 11:15-13:00AG Funktionalanalysis
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25.11.2008Omar El-Mennaoui (Agadir)
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S10, 14:15-16:00AG Funktionalanalysis
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12.08.2008András Bátkai (Budapest)
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Im Vortrag sollen einige neue Erkenntnisse und zukünftige
Forschungsprojekte zu den Problemkreisen Operator Splitting,
Raumapproximation und rationale Approximation vorgestellt werden. -
S10, 14:15-16:00AG Funktionalanalysis
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07.08.2008Abdelaziz Rhandi (Salerno)
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S10, 14:15-16:00AG Funktionalanalysis
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10.07.2008Thieu Huy Nguyen (Hanoi)
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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, 14:15-16:00AG Funktionalanalysis
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03.07.2008Dimitri Mugnai (Perugia)
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In the last ten years great efforts were devoted to study some nonlinear
systems which describe the interaction of matter with electromagnetic
field. The general aspects of the evolution system is still far from being
understood, but the search of solitary waves has brought some very
interesting results, in particular because solitary waves may exhibit
some strong form of stability (solitons).
I will focus on this topic, describing some recent results and many open
problems. -
S10, 15:15-16:15AG Funktionalanalysis
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01.07.2008Lahcen Maniar (Marrakesch)
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S10, 15:15-16:15AG Funktionalanalysis
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24.06.2008Alessandro Zamboni (Parma)
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S10, 15:15-16:00AG Funktionalanalysis
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19.06.2008Monika Winklmeier (Bern)
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Die Klein-Gordon-Gleichung ist eine partielle Differentialgleichung
zweiter Ordnung aus der Quantenmechanik. Durch einen geeigneten Ansatz
läßt sie sich in ein System erster Ordnung umschreiben. Der zugehörige
Operator weist bei geeignetem Potential eine Spektrallücke auf. Unter
gewissen Voraussetzungen an das Potential ist der Grundzustand in der
Lücke einfach. -
S10, 14:15-16:00AG Funktionalanalysis
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03.04.2008Boris Baeumer (Otago)
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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, 14:15-16:00AG Funktionalanalysis
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15.02.2008Patricio Jara (LSU, Baton Rouge)
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S10, 11:15-13:00AG Funktionalanalysis
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14.02.2008Graziano Gentili (Florenz)
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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.
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M1, 17:00-18:00AG Funktionalanalysis
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14.02.2008Mark Veraar (Karlsruhe)
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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, 15:30-16:30AG Funktionalanalysis
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14.02.2008Michael Einemann (Ulm)
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M1, 14:30-15:30AG Funktionalanalysis
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12.02.2008Victor Muñoz Villarragut (Valladolid)
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S10, 15:15-17:00AG Funktionalanalysis
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12.02.2008Ana M. Sanz (Valladolid)
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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, 14:15-15:15AG Funktionalanalysis
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07.02.2008Gregor Giesen (Tübingen)
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S10, 14:15-16:00AG Funktionalanalysis
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31.01.2008Florian Ruoss (Tübingen)
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S10, 16:15-17:15AG Funktionalanalysis
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31.01.2008Dávid Kunszenti-Kovács (Tübingen)
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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 theoretical
manipulations 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 a
suitable factorization of the underlying graph. -
S10, 14:15-16:00AG Funktionalanalysis
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30.01.2008Iwona Wrobel (Warschau)
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S10, 11:15-13:00AG Funktionalanalysis
