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Veröffentlichungen am Institut für Mathematik seit 1990

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Alt-Epping, Bernd; Stäritz, Anke E.; Simon, Steffen T.; Altfelder, Nadine; Hotz, Thomas; Lindena, Gabriele; Nauck, Friedemann
What is special about patients with lung cancer and pulmonary metastases in palliative care? : results from a nationwide survey. - In: Journal of palliative medicine. - Larchmont, NY : Liebert, ISSN 1557-7740, Bd. 15 (2012), 9, S. 971-977

http://dx.doi.org/10.1089/jpm.2011.0434
Eichfelder, Gabriele;
Cone-valued maps in optimization. - In: Applicable analysis : an international journal.. - London [u.a.] : Taylor & Francis, ISSN 1563-504X, Bd. 91 (2012), 10, S. 1831-1846

Cone-valued maps are special set-valued maps where the image sets are cones. Such maps play an important role in optimization, for instance in optimality conditions or in the context of Bishop-Phelps cones. In vector optimization with variable ordering structures, they have recently attracted even more interest. We show that classical concepts for set-valued maps as cone-convexity or monotonicity are not appropriate for characterizing cone-valued maps. For instance, every convex or monotone cone-valued map is a constant map. Similar results hold for cone-convexity, sublinearity, upper semicontinuity or the local Lipschitz property. Therefore, we also propose new concepts for cone-valued maps.



http://dx.doi.org/10.1080/00036811.2011.616499
Babovsky, Hans;
Discrete kinetic models in the fluid dynamic limit. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2012. - Online-Ressource (PDF-Datei: 27 S., 395,4 KB). . - (Preprint. - M12,13)

We investigate discrete kinetic models in the Fluid dynamic limit described by the Euler system and the Navier-Stokes correction obtained by the Chapman Enskog procedure. We show why reliable "small" systems can be expected only for small Mach numbers and derive a calculus for designing models for given Prandtl numbers.



http://www.db-thueringen.de/servlets/DocumentServlet?id=21218
Scheide, Diego; Stiebitz, Michael
The maximum chromatic index of multigraphs with given [Delta] and [mu]. - In: Graphs and combinatorics. - Tokyo : Springer-Verl. Tokyo, ISSN 1435-5914, Bd. 28 (2012), 5, S. 717-722

http://dx.doi.org/10.1007/s00373-011-1068-4
Behrndt, Jussi; Möws, Roland; Trunk, Carsten
On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2012. - Online-Ressource (PDF-Datei: 10 S., 150,6 KB). . - (Preprint. - M12,12)

It is shown that the finiteness of eigenvalues in a spectral gap of a definitizable or locally definitizable selfadjoint operator in a Krein space is preserved under finite rank perturbations. This results is applied to a class of singular Sturm-Liouville operators with an indefinite weight function.



http://www.db-thueringen.de/servlets/DocumentServlet?id=20974
Philipp, Friedrich; Trunk, Carsten
The numerical range of non-negative operators in Krein spaces. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2012. - Online-Ressource (PDF-Datei: 21 S., 177,7 KB). . - (Preprint. - M12,11)

We define and characterize the Krein space numerical range W(A) and the Krein space co-numerical range W_{\rm co}(A) of a non-negative operator A in a Krein space. It is shown that the non-zero spectrum of A is contained in the closure of W(A)\cap W_{\rm co}(A).



http://www.db-thueringen.de/servlets/DocumentServlet?id=20973
Berger, Thomas; Ilchmann, Achim; Reis, Timo
Normal forms, high-gain, and funnel control for linear differential-algebraic systems. - In: Control and optimization with differential-algebraic constraints. - Philadelphia, Pa. : SIAM, Soc. for Industrial and Applied Mathematics, (2012), S. 127-164

Cranston, Daniel W.; Pruchnewski, Anja; Tuza, Zsolt; Voigt, Margit
List colorings of K5-minor-free graphs with special list assignments. - In: Journal of graph theory. - New York, NY [u.a.] : Wiley, ISSN 1097-0118, Bd. 71 (2012), 1/2, S. 18-30

http://dx.doi.org/10.1002/jgt.20628
Borowiecki, Piotr; Göring, Frank; Harant, Jochen; Rautenbach, Dieter
The potential of greed for independence. - In: Journal of graph theory. - New York, NY [u.a.] : Wiley, ISSN 1097-0118, Bd. 71 (2012), 3/4, S. 245-259

http://dx.doi.org/10.1002/jgt.20644
Berger, Thomas;
Robustness of stability of time-varying index-1 DAEs. - Ilmenau : Techn. Univ., Inst. für Mathematik, 2012. - Online-Ressource (PDF-Datei: 44 S., 392,0 KB). . - (Preprint. - M12,10)

We study exponential stability and its robustness for time-varying linear index-1 differential-algebraic equations. The effect of perturbations in the leading coefficient matrix is investigated. An appropriate class of allowable perturbations is introduced. Robustness of exponential stability with respect to a certain class of perturbations is proved in terms of the Bohl exponent and perturbation operator. Finally, a stability radius involving these perturbations is introduced and investigated. In particular, a lower bound for the stability radius is derived. The results are presented by means of illustrative examples.



http://www.db-thueringen.de/servlets/DocumentServlet?id=20895