16.30. September 2016, Department of mathematics, TU Chemnitz
We will have several longterm guests whose visiting periods will overlap during a small workshop.
Due to an event, it might not be easy to find accomodation during the time in Chemnitz.
Here, you will find some useful information on how to come to the departement, on hotels etc. We also encourage you to check on portals such as airbnb.
Name  Time  Room  
Ivan Veselic (TU Chemnitz)  uncertainty principles, harmonich analysis, Schrödinger equation  September 1630  
Martin Tautenhahn (TU Chemnitz)  unique continuation properties of eigenfunctions, random Schrödinger operators  
Matthias Täufer (TU Chemnitz)  unique continuation properties of eigenfunctions, random Schrödinger operators  
Michela Egidi (TU Chemnitz)  Fourier analysis  
Mohamad Haidar (Jacobs University Bremen)  Nonlinear PDE  September 1924  707 (from 19 to 21 September: Room 704) 
Reinhard Stahn (TU Dresden)  Control of the wave equation using resolvent estimates  September 1925  707 (from 19 to 21 September: Room 704) 
Ivica Nakic (University of Zagreb, Croatia)  damping of vibrational systems, spectral and perturbation theory of linear operators and pencils, control theory  September 1630  608 
Denis Borisov (Bashkir State Pedagogical University, Russia), 
PDE, spectral theory, analytic families of selfadjoint operators  September 1528  703 
Martin Lazar (University of Dubrovnik, Croatia)  Microlocal defect tools (H_measures etc), Control of parameter dependent problems  September 2530  637 
Thomas Kalmes (TU Chemnitz)  partial differential equations, theory of distributions  September 2630  
Irena Brdar (University of Dubrovnik, Croatia)  PDEs  September 1930  715 
Christian Rose (TU Chemnitz)  Geometric Analysis  September 2630  
Jussi Behrndt (TU Graz)  September 19 
Five slots per week will be reserved for lectures given by the participants. Talks will take place in room 41/705.
Mon. 19 Sept. 
Tue. 20 Sept. 
Wed. 21 Sept. 
Thu. 22 Sept. 
Fri. 23 Sept. 

9:3013:00       
Mohamad Haidar (10:30), Reinhard Stahn (11:30), 
Matthias Täufer (informal talk, 11:00) 
14:0017:00  Jussi Behrndt (14:00) 
Martin Tautenhahn (14:00), Reinhard Stahn (15:00) 
 
Ivica Nakic (14:00), Matthias Täufer (14:30) 
Denis Borisov (14:00) 
Mon. 26 Sept. 
Tue. 27 Sept. 
Wed. 28 Sept. 
Thu. 29 Sept. 
Fri. 30 Sept. 

11:3012:30     
 
   
14:0017:00 
Martin Lazar (14:00), Thomas Kalmes (15:00) Christian Rose (16:00) 
 
    Lecture 
The remaining time slots are open for discussions and/or research.
The remaining time slots are open for discussions and/or research.
Abstract: In this talk we discuss how the spectral data of selfadjoint Schrödinger operators on bounded or unbounded domains can be described with an associated DirichlettoNeumann map. In particular, a characterization of the isolated and embedded eigenvalues, the corresponding eigenspaces, as well as the continuous and absolutely continuous spectrum in terms of the limiting behaviour of the DirichlettoNeumann map is obtained. The results are natural multidimensional analogs of classical facts from singular SturmLiouville theory and can also be viewed as mild uniqueness results in the context of the classical Calderon problem.
Abstract: We consider a waveguide with small random perturbation. The waveguides is modeled by an infinite multidimensional layer, in which Schroedinger operator subject to Dirichlet or Neumann condition is considered. In the waveguide we choose a periodic lattice which splits the waveguide into a family of periodicity cells. To each of such cells, we associated a random variable and assume that all random variables are independent and identically distributed. The perturbations are described by an abstract symmetric operator acting in each of the periodicity cells and depending on a parameter. As a parameter, we choose a random variable associated with a cell and this variable is multiplied by a global small parameter. We consider two main cases assuming that the described random perturbation shifts the bottom of the unperturbed spectrum up or down. In both cases we establish
an initial length scale estimate for our model. General results are accompanied by examples of particular perturbations, both new and studied before.
Abstract: We extend an iterative fastslow construction, which was already used for a class of singularly perturbed ODEs, to be applied on the semilinear KleinGordon equation. We construct an approximate system for the slow motion, whose nonlinear part is an asymptotic series in $\epsilon$ with coefficient functions recursively defined, up to a small remainder with respect to $\epsilon$. We prove that the solutions of the slow systems shadow solutions of the KleinGordon equation at the corresponding order over a finite interval of time.
TU Dortmund
Fakultät für Mathematik
Lehrstuhl IX
Vogelpothsweg 87
44227 Dortmund
Sie finden uns auf dem sechsten Stock des Mathetowers.
Janine Textor (Raum M 620)
Tel.: (0231) 7553063
Fax: (0231) 7555219
Mail: janine.textor@tudortmund.de
Bürozeiten:
Mo. und Do. von 8 bis 12 Uhr
Home Office:
Di. und Fr. von 8 bis 12 Uhr