Publications

 Articles :

1. Dietrich Häfner, Régularité Gevrey pour un système Schrödinger-Poisson dissipatif, C.R. Acad. Sci. Paris Ser. I 326 (1998), no. 7, 829-832.

2. Dietrich Häfner, Complétude asymptotique pour l’équation des ondes dans une classe d’espaces-temps stationnaires et asymptotiquement plats,
Ann. Inst. Fourier (Grenoble) 51 (2001), no. 3, 779-833.

3. Dietrich Häfner, Sur la théorie de la diffusion pour l’équation de Klein-Gordon dans la métrique de Kerr,
Dissertationes Mathematicae 421 (2003) : 102 pp.

4. Dietrich Häfner, Jean-Philippe Nicolas, Scattering of massless Dirac fields by a Kerr black hole,
Rev. Math. Phys. 16 (2004), no. 1, 29-123.

5. Jean-François Bony, Rémi Carles, Dietrich Häfner, Laurent Michel, Scattering pour l’équation de Schrödinger en présence d’un potentiel répulsif,
C.R. Acad. Sci. Paris, Ser. I 338 (2004), no. 6, 453-456.

6. Jean-François Bony, Rémi Carles, Dietrich Häfner, Laurent Michel, Scattering theory for the Schrödinger equation with repulsive potential,
J. Math. Pures Appl. 84 (9) (2005), no. 5, 509-579,  arXiv:math/0402170.

7. Jean-François Bony, Dietrich Häfner, Decay and non-decay of the local energy for the wave equation in the De Sitter - Schwarzschild metric,
Comm. Math. Phys. 282 (2008), no. 3, 697-719,  arXiv:0706.0350.

8.  Dietrich Häfner, Creation of fermions by rotating charged black holes, Mémoires de la SMF 117 (2009), 158 pp,  arXiv : math/0612501.

9.  Jean-François Bony, Dietrich Häfner, The semilinear wave equation on asymptotically Euclidean manifolds, Comm. Partial Differential Equations 35 (2010), 23-67, arXiv:0810.0464.

10. Jean-François Bony, Dietrich Häfner, Low frequency resolvent estimates for long range perturbations of the Euclidean Laplacian, Math. Res. Lett. 17 (2010), no. 2, 301-306, arXiv:0903.5531.

11.  Dietrich Häfner, Jean-Philippe Nicolas, The characteristic Cauchy problem for Dirac fields on curved backgrounds, J. of Hyperbolic Differ. Equ. 8 (2011), 437-483, arXiv:0903.0515.

12. Jean-François Bony, Dietrich Häfner, Local energy decay for several evolution equations on asymptotically euclidean manifolds, Ann. Sci. Ecole Norm. Sup. (4) 45 (2012), 311-335 , arXiv:1008.2357.

13. Jean-François Bony, Dietrich Häfner, Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case, J. Inst. Math. Jussieu 12 (2013), no. 3, 635–650, arXiv:1107.5251.

14. Vladimir Georgescu, Chrsitian Gérard, Dietrich Häfner, Boundary values of resolvents of self-adjoint operators in Krein spaces, J. Funct. Anal. 265 (2013), no. 12, 3245-3304, arXiv:1211.0791.

15. Vladimir Georgescu, Christian Gérard, Dietrich Häfner, Resolvent and propagation estimates for Klein-Gordon equations with non-positive energy, J. Spectr. Theory 5 (2015), no. 1, 113-192. arXiv: 1303.4610.

16. Vladimir Georgescu, Christian Gérard, Dietrich Häfner, Asymptotic completeness for superradiant Klein-Gordon equations and applications to the De Sitter Kerr metric, to appear in Journal of the European Mathematical Society, arXiv:1405.5304.

 Proceedings :

17. Dietrich Häfner, Jean-Philippe Nicolas, Théorie de la diffusion pour l’équation de Dirac sans masse dans la métrique de Kerr, Séminaire Equations aux Dérivées Partielles 2002-2003, Exp. No. XXIII, 15 pp, Ecole polytechnique, Palaiseau, 2003.

18. Dietrich Häfner, Some mathematical aspects of the Hawking effect for rotating black holes, Finster, Felix (ed.) et al., Quantum field theory and gravity. Conceptual and mathematical advances in the search for a unified framework. Papers based on the presentations at the conference, Regensburg, Germany, September 28 to October 1, 2010. Berlin: Springer. 121-136 (2012).

19. Dietrich Häfner, Jean-François Bony, Local energy decay for several evolution equations on asymptotically euclidean manifolds, Daniel Grieser, Stefan Teufel, Andras Vasy (ed.), Microlocal Methods in Mathematical Physics and Global Analysis, Trends in Mathematics, Springer Basel, 117-120 (2013).

20. Dietrich Häfner, Boundary values of Resolvents of Self-Adjoint Operators in Krein Spaces and Applications to the Klein-Gordon Equation, Marius Mantoiu, Gregori Raikov, Rafel Tiedra de Aldecoa (Ed.), Spectral Theory and Mathematical Physics, Operator Theory Advances and Applications 254, 133-148 (2016)

Preprints :

21. Sari Ghanem, Dietrich Häfner, The dacay of the SU(2) Yang-Mills fields on the Schwarzschild black hole for spherically symmetric small energy initial data, arXiv:1604.04477.

Other Publications :

22. Dietrich Häfner, Gevrey Regularität für ein dedämpftes Schrödinger-Poisson System, diploma thesis, Universität zu Köln, 1997.

23. Dietrich Häfner, Théorie de la diffusion en relativité générale : équation des ondes dans des espaces-temps stationnaires
asymptotiquement plats et équation de Klein-Gordon dans l’espace-temps de Kerr, PhD thesis, Ecole polytechnique, 2000.

24. Dietrich Häfner, Some contributions to scattering theory in general relativity, habilitation thesis, Université Bordeaux 1, 2008.