Partial Differential Operators and Mathematical Physics

Inhaltsverzeichnis

• A remark on coercive forms and associated semigroups.
• Domain perturbation for the first eigenvalue of the Dirichlet Schrödinger operator.
• Geometric transition for a class of hyperbolic operators with double characteristics.
• Multi-quasi-elliptic operators in ? n.
• Real analogue of the Bergman kernel.
• Attractors of non-autonomous evolution equations with translation-compact symbols.
• Localization for 2-dimensional random Schrödinger operators with magnetic fields.
• Some problems of calculus of variations in infinite dimensions.
• Finite capacities in spectral theory.
• Classical N-body scattering.
• Quantum Fermi accelerators with pure-point quasi-spectrum.
• On moments of negative eigenvalues of an elliptic operator.
• Magnetic Lieb-Thirring inequalities and stochastic oscillatory integrals.
• On the trace density in deformation quantization.
• The stationary phase method with remainder estimate as dimension of the space goes to infinity.
• The eta invariant, equivariant spin bordism, and metrics of positive scalar curvature.
• Generalized Strichartz inequalities for the wave equation.
• Around the transfer operator and the Totter-Kato formula.
• Bands and gaps for periodic magnetic Hamiltonians.
• H?-calculus for second order elliptic operators in divergence form.
• Path integral for the relativistic Schrödinger semigroup.
• Semiclassical spectral asymptotics and multiparticle quantum theory.
• Product formulas and error estimates.
• On inequalities for the bound states of Schrödinger operators.
• Some examples of two-term spectral asymptotics for sets with fractal boundary.
• Estimates for Fourier transforms of surface-carried densities on surfaces with singular points.
• On adiabatic reduction theory.
• Recurrence for fractional powers of diffusion operators in terms ofvolume-growth.
• Band spectrum for Schrödinger operators with strong periodic magnetic fields.
• Mellin pseudodifferential operators with operator symbols and its applications.
• Hypoellipticity of certain differential operators with degeneration of infinite order.
• On approximation of solutions of elliptic boundary value problems for Petrovskii elliptic systems by linear combinations of fundamental solutions.
• The reduced wave operator with two unbounded media.
• Mellin quantization in the cone calculus for Boutet de Monnvel’s algebra.
• Transmission algebras on singular spaces with components of different dimensions.
• On approximation by solutions of non-local elliptic problems.
• A stability set in the Cauchy problem for elliptic systems.
• Discrete spectrum asymptotics for the Schrödinger operator.
• Convergence of Scbrödjnger operators on varying domains.
• Localization for the Poisson model.
• Systems of partial differential equations for a class of operator determinants.
• Absorption semigroups, Feller property, and Kato class.
• Gaussian estimates and analytic semigroups.
• New channels of scattering for long-range potentials.
• Participants.
• Talks.