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Partial Differential Operators and Mathematical Physics


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A remark on coercive forms and associated semigroups.- Domain perturbation for the first eigenvalue of the Dirichlet Schroedinger 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 Schroedinger 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 Schroedinger semigroup.- Semiclassical spectral asymptotics and multiparticle quantum theory.- Product formulas and error estimates.- On inequalities for the bound states of Schroedinger 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 of volume-growth.- Band spectrum for Schroedinger 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 Schroedinger operator.- Convergence of Scbroedjnger 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.

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