Partial Differential Equations and Spectral Theory

Instability in the Spectral and the Fredholm Properties of an Infinite Dimensional Dirac Operator on the Abstract Boson-Fermion Fock Space.- Well-Posedness of Nonlinear Parabolic Equations of Viscous Hamilton-Jacobi Type.- Non-Convex Minimization - the Case of Vector Fields.- On the One Dimensional Behaviour of Atoms in Intense Homogeneous Magnetic Fields.- Semi-Classical Resolvent Estimates and Spectral Asymptotics for Trapping Perturbations.- Semiclassical Pseudodifferential Operators with Double Discontinuous Symbols and their Application to Problems of Quantum Statistical Physics.- A Free Boundary Value Problem Arisen in Unsteady Compressible Flow.- Some New Results on the Nonlinear Singular Partial Differential Equations.- A Unified Approach to the Theory of Fundamental Solutions, Non-degenerate Case.- Fourier Integral Operators in SG Classes: Classical Operators.- A Semigroup Criterion for the Completeness of Scattering Systems.- Parameter-Elliptic Boundary Value Problems and their Formal Asymptotic Solutions.- Solutions of q-Deformed Equations with Quantum Conformal Symmetry.- On the Regularization and Stabilization of Approximation Schemes for C0-Semigroups.- Pseudodifferential Operators with Symbols in Weighted Function Spaces of Quasi-Subadditive Type.- Spectral Analysis of Quantum Field Models with a Particle Number Cutoff.- On the Norm Convergence of the Trotter-Kato Product Formula with Error Bound.- Nonperturbative Techniques in the Investigation of the Spectral Properties of Many-Channel Systems.- Essential Self-Adjointness of n-Dimensional Dirac Operators with a Variable Mass Term.- Towards the Spectral Analysis of Schrödinger Operator with Fractal Perturbation.- On $$\mathcal{H}_{ - 4} - $$-4 -Perturbations of Self-Adjoint Operators.- Global Attractor for Generalized 2D Ginzburg-Landau Equation.- Local Asymptotic Properties of Multifractional Brownian Motion.- Strong Uniqueness for Dirichlet Operators with Singular Potentials.- Hardy Type Inequalities, Mourre Estimate and A-priori Decay for Eigenfunctions.- Surgery and the Relative Index in Elliptic Theory.- Propagation of Wave Packets and its Applications.- Gevrey and Analytic Properties of the Solutions of Several Classes of Partial Differential Equations.- Periodic Manifolds, Spectral Gaps, and Eigenvalues in Gaps.- Stability of Inverse Operators of Boundary Value Problems in Non-Smooth Expanding Domains.- Local Algebra of a Non-Symmetric Corner.- The Integrated Density of States for a Random Schrödinger Operator in Strong Magnetic Fields. II. Asymptotics near Higher Landau Levels.- Partial Differential Operators with Multiple Symplectic Characteristics.- On the Homotopy Classification of Elliptic Boundary Value Problems.- Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula.- Eigenfunction Expansions Associated with Relativistic Schrödinger Operators.- The Time-Dependent Approach to Inverse Scattering.- Cone Conormal Asymptotics.- List of Participants.- List of Talks.