## ESF Scientific Program## Spectral Theory and Partial Differential Equations (SPECT) |

**Preprints 2003-2004**

Alexander Balinsky, Ari Laptev, and Alexander V. Sobolev |
Generalized Hardy inequality for the magnetic Dirichlet forms [pdf] |

D. Borisov and P. Exner | Exponential splitting of bound states in a waveguode with a pair of distant windows [pdf] |

Vincent Bruneau and Vesselin Petkov | Meromorphic continuation of the spectral shift function [pdf] |

Vincent Bruneau, Alexander Pushnitski and Georgi Raikov |
Spectral shift function in strong magnetic fields [pdf] |

B. Chenaud, P. Duclos, P. Freitas and D. Krejciric |
Geometrically induced discrete spectrum in curved tubes [pdf] |

Tomas Ekholm and Hynek Kovarik | Stability of the magnetik Schrödinger operator in a waveguide [pdf] |

P. Exner, P. Freitas and D. Krejcirik | A lower bound to the spectral threshold in curver tubes [pdf] |

P. Exner and S. Kondej | Schrödinger operators with singular interactions: a model of tunneling resonances [pdf] |

Pavel Exner and Olaf Post | Convergence of spectra of graph-like thin manifolds [pdf] |

S. Fournais, M Hoffmann-Ostenhof, Th. Hoffman-Ostenhof and Th. Ostergaard-Sorensen |
Sharp regularity results for many-electron wave functions [pdf] |

P. Freitas and D. Krejcirik | Instability results for the damped wave equation in unbounded domains [pdf] |

Gerd Grubb | Logarithmic terms in trace expansions of Atiah-Patodi-Singer Problems [pdf] |

Gerd Grubb | Spectral boundary conditions for generalizations of Laplace and Dirac operators [pdf] |

Bernard Helffer | Semi-classical methods in Ginzburg-Landau theory [pdf] |

Bernard Helffer | Estimations hypoelliptiques globales et compacité de la résolvante pour del opérateurs de Fokker/Planck ou des laplaciens de Witten [pdf] |

Bernard Helffer | On Schrödinger operator with magnetic fields (Old and New) [pdf] |

Bernard Helffer, Markus Klein and Francis Nier |
Quantitative analysis of metastability in reversible diffusion processes via Witten complex approach [pdf] |

Bernard Helffer, Didier Robert and Xue Ping Wang |
Semiclassical analysis of nonlinear eigenvalue problem and non analytic hypoellipticity [pdf] |

Rainer Hempel and Alexander Besch | Magnetic barriers of compact support and eigenvalues in spectral gaps [pdf] |

Jens Hoppe, Ari Laptev and Jörgen Östensson |
Follytons and the Removal of Eigenvalues for Fourth Order Differential Operators [pdf] |

Ari Laptev, Sergei Naboko and Oleg Safronov |
Absolutely continuous spectrum of Schrödinger operators with slowly decaying and oscillating potentials [pdf] |

Vesselin Petkov and Luchezar Stoyanov | Sojourn times, singularities of the scattering kernel and inverse problems [pdf] |

Didier Robert | Non linear eigenvalue problems [pdf] |

Oleg Safronov | On the absolutely continuous spectrum of multi-dimensional Schrödinger operators with slowly decaying potentials [pdf] |

D. Yafaev and Ph. Roux | The scattering matrix for the Schrödinger operator with a long-range electromagnetic potential [pdf] |

Dimitri Yafaev | A particle in a magnetic field of an infinite rectilinear current [pdf] |

Dimitri Yafaev | Lectures on scattering theory [pdf] |

Dimitri Yafaev | High energy and smoothness asymptotic expansion of the scattering amplitude [pdf] |

Latest update: 2005-09-01

Created by:Marie Lundin