Detailseite
Block Operator Techniken für Systeme partieller Differentialgleichungen und Anwendungen in der Mathematischen Physik
Antragstellerin
Professorin Dr. Christiane Tretter
Fachliche Zuordnung
Mathematik
Förderung
Förderung von 2004 bis 2008
Projektkennung
Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 5441440
Erstellungsjahr
2013
Zusammenfassung der Projektergebnisse
Keine Zusammenfassung vorhanden
Projektbezogene Publikationen (Auswahl)
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The angular part of the Dirac operator in Kerr-Newman spacetime: Estimates for the eigenvalues. Dissertation, Universität Bremen, 2005, 154 S.
Winklmeier, M.
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Spectral theory of the Klein-Gordon equation in Pontryagin spaces. Communications in Mathematical Physics, Vol. 267. 2006, Issue 1, pp. 159-180.
Langer, H., Najman, B., Tretter, C.
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Variational principles for eigenvalues of the Klein-Gordon equation. Journal of Mathematical Physics, Vol. 47. 2006, Issue 10: 103506.
Langer, M., Tretter, C.
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Block numerical ranges. Dissertation, Fachbereich 3 (Mathematik & Informatik) der Universität Bremen, 2007, 88 S.
Wagenhofer, M.
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Spectral Theory of Block Operator Matrices and Applications. Imperial College Press, London, 2008.
Tretter, C.
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Spectral theory of the Klein-Gordon equation in Krein spaces. Proceedings of the Edinburgh Mathematical Society (Series 2), Volume 51. 2008, Issue 3, pp. 711-750.
Langer, H., Najman, B., Tretter, C.
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A spectral approach to the Dirac equation in the non-extreme Kerr-Newmann metric. Journal of Physics A: Mathematical and Theoretical, Vol. 42. 2009, Number 29, 295204.
Winklmeier, M., Yamada, O.
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Spectral inclusion for unbounded block operator matrices. Journal of Functional Analysis, Vol. 256. 2009, Issue 11, pp. 3806–3829.
Tretter, C.
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On the spectrum of the magnetohydrodynamic mean-field 2-dynamo operator. SIAM Journal on Mathematical Analysis, Vol. 42. 2010, Issue 3, pp. 1413-1447.
Günther, U., Langer, H., Tretter, C.
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PT-symmetric Schr¨odinger operators with unbounded potentials.
Dissertation Universität Bern, 2010.
Nesemann, J.
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The quadratic numerical range of an analytic operator function.
Complex Analysis and Operator Theory, Vol. 4. 2010, Issue 2, pp. 449-469.
Tretter, C.
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Block-diagonalization of operators with gaps, with applications
to Dirac operators. Reviews in Mathematical Physics, Vol. 24. 2012, Issue 8, 1250021.
Cuenin, J.-C.
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Essential spectrum of systems of singular differential equations. Acta Scientiarum Mathematicarum (Szeged), Vol. 79. 2013, Issue 3/4, pp. 423–465.
Ibrogimov, O., Langer, H., Langer, M., Tretter, C.
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Spectral bounds and basis results for non-selfadjoint pencils, with an application to Hagen–Poiseuille flow. Journal of Functional Analysis, Vol. 264. 2013, Issue 9, pp. 2136–2176.
Marletta, M., Tretter, C.
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The block numerical range of analytic operator functions. Preprint, 19 pp., 2013. Operators and Matrices, Vol. 8.2014, Number 4, pp. 901–934.
Radl, A., Tretter, C., Wagenhofer, M.
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Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations. Journal of Evolution Equations, Vol. 14. 2014, Issue 1, pp 121-153.
Tretter, C., Wyss, C.
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Eigenvalue estimates for non-self-adjoint Dirac operators on the real line. Annales Henri Poincaré, Vol. 15. 2014, Issue 4, pp. 707-736.
Cuenin, J.-C., Laptev, A., Tretter, C.