Title | Partial Differential Equations and Spectral Theory [electronic resource] : PDE2000 Conference in Clausthal, Germany / edited by Michael Demuth, Bert-Wolfgang Schulze |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2001 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-8231-6 |
Descript | X, 353 p. online resource |
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 TrotterโKato 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 Schrรถdinger Operator with Fractal Perturbation -- On $$\mathcal{H}_{ - 4} - $$-4 -Perturbations of Self-Adjoint Operators -- Global Attractor for Generalized 2D GinzburgโLandau 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 Schrรถdinger 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 Schrรถdinger Operators -- The Time-Dependent Approach to Inverse Scattering -- Cone Conormal Asymptotics -- List of Participants -- List of Talks