Partial Differential Operators and Mathematical Physics: International Conference in Holzhau, Germany, July 3-9, 1994

This work contains the contributions to the conference on Partial Differential Equations held in Holzhau in July 1994. Topics covered include: hyperbolic operators with double characteristics or with degeneracies; quasi-elliptic operators; spectral theory for elliptic operators; eta-invariant; singular configurations and asymptotics; Bergman-kernal; attractors of non-autonomous evolution equations; pseudo-differential operators; approximations and stability problems for elliptic operators; and operator determinants. In spectral theory adiabatic and semiclassical limits, Dirichlet decoupling and domain perturbations, capacity of obstacles, limiting absorption problems, N-body scattering and number of bound states are considered. Schrodinger operators are studied with magnetic fields, with random and with many-body potentials, and for nonlinear problems. In semigroup theory, the Feller property, errors for product formulas, fractional powers of generators and functional integration for relativistic semigroups are analyzed.