Block Operator Techniken für Systeme partieller Differentialgleichungen und Anwendungen in der Mathematischen Physik

• Applicant: Professorin Dr. Christiane Tretter
• Subject Area: Mathematics
• Term: from 2004 to 2008
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 5441440

• Final Report Year: 2013

No abstract available

Publications

• The angular part of the Dirac operator in Kerr-Newman spacetime: Estimates for the eigenvalues. Dissertation, Universität Bremen, 2005, 154 S.
  Winklmeier, M.
  
• Spectral theory of the Klein-Gordon equation in Pontryagin spaces. Communications in Mathematical Physics, Vol. 267. 2006, Issue 1, pp. 159-180.
  Langer, Heinz; Najman, Branko & Tretter, Christiane
  
• Variational principles for eigenvalues of the Klein-Gordon equation. Journal of Mathematical Physics, Vol. 47. 2006, Issue 10: 103506.
  Langer, Matthias & Tretter, Christiane
  
• Block numerical ranges. Dissertation, Fachbereich 3 (Mathematik & Informatik) der Universität Bremen, 2007, 88 S.
  Wagenhofer, M.
  
• Spectral Theory of Block Operator Matrices and Applications. Imperial College Press, London, 2008.
  Tretter, C.
  
• 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, Heinz; Najman, Branko & Tretter, Christiane
  
• 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, Monika & Yamada, Osanobu
  
• Spectral inclusion for unbounded block operator matrices. Journal of Functional Analysis, Vol. 256. 2009, Issue 11, pp. 3806–3829.
  Tretter, Christiane
  
• The quadratic numerical range of an analytic operator function. Complex Analysis and Operator Theory, Vol. 4. 2010, Issue 2, pp. 449-469.
  Tretter, Christiane
  
• 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, Uwe; Langer, Heinz & Tretter, Christiane
  
• PT-symmetric Schr¨odinger operators with unbounded potentials. Dissertation Universität Bern, 2010.
  Nesemann, Jan
  
• Block-diagonalization of operators with gaps, with applications to Dirac operators. Reviews in Mathematical Physics, Vol. 24. 2012, Issue 8, 1250021.
  CUENIN, JEAN-CLAUDE
  
• Dichotomous Hamiltonians with unbounded entries and solutions of Riccati equations. Journal of Evolution Equations, Vol. 14. 2014, Issue 1, pp 121-153.
  Tretter, Christiane & Wyss, Christian
  
• Eigenvalue estimates for non-self-adjoint Dirac operators on the real line. Annales Henri Poincaré, Vol. 15. 2014, Issue 4, pp. 707-736.
  Cuenin, Jean-Claude; Laptev, Ari & Tretter, Christiane
  
• 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.
  
• 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, Marco & Tretter, Christiane
  
• The block numerical range of analytic operator functions. Preprint, 19 pp., 2013. Operators and Matrices, Vol. 8.2014, Number 4, pp. 901–934.
  Radl, Agnes; Tretter, Christiane & Wagenhofer, Markus