This selective review is written as an introduction to the mathematical theory of the
Schrödinger equation for N particles. Characteristic for these systems are the cluster …

This book is an overview of scattering theory. The author shows how this theory provides a
parametrization of the continuous spectrum of an elliptic operator on a complete manifold …

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Let $ X $ be a compact manifold with boundary. Suppose that the boundary is fibred,
$\phi:\pa X\longrightarrow Y, $ and let $ x\in\CI (X) $ be a boundary defining function. This …

Recently, Degasperis and Procesi [18] studied the family of spatially periodic thirdorder
dispersive partial differential equations ut c0ux guxxx¿ a2utxx º c1u2 c2u2 x c3uuxxfix, …

Scattering theory is, roughly speaking, perturbation theory of self-adjoint operators on the
(absolutely) continuous spectrum. It has its origin in mathematical problems of quantum …

We compute the divisor of Selberg's zeta function for convex cocompact, torsion-free
discrete groups Γ acting on a real hyperbolic space of dimension n+ 1. The divisor is …

In this paper, we study scattering for Schrhdinger operators on asymptotically hyperbolic
manifolds. In particular, we show that the scattering matrix depends meromorphically on the …

Motivated by the work of Colin de Verdière and Saint‐Raymond on spectral theory for zeroth‐
order pseudodifferential operators on tori, we consider viscosity limits in which zeroth‐order …

In this paper we obtain the asymptotic behavior of solutions of the Klein–Gordon equation on
Lorentzian manifolds (X○, g) which are de Sitter-like at infinity. Such manifolds are …