Ebook: Partial Differential Equations and Spectral Theory: PDE2000 Conference in Clausthal, Germany

From the reviews:

“This present volume contains six expository articles in the area of partial differential equations and spectral theory. … All articles are written by leading experts and give an overview of current developments to a broader audience. … the volume should also be accessible to doctoral students in this area.” (G. Teschl, Monatshefte für Mathematik, Vol. 164 (4), December, 2011)

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Content:
Front Matter....Pages i-x
Instability in the Spectral and the Fredholm Properties of an Infinite Dimensional Dirac Operator on the Abstract Boson-Fermion Fock Space....Pages 1-6
Well-Posedness of Nonlinear Parabolic Equations of Viscous Hamilton-Jacobi Type....Pages 7-16
Non-Convex Minimization - the Case of Vector Fields....Pages 17-23
On the One Dimensional Behaviour of Atoms in Intense Homogeneous Magnetic Fields....Pages 25-35
Semi-Classical Resolvent Estimates and Spectral Asymptotics for Trapping Perturbations....Pages 37-40
Semiclassical Pseudodifferential Operators with Double Discontinuous Symbols and their Application to Problems of Quantum Statistical Physics....Pages 41-51
A Free Boundary Value Problem Arisen in Unsteady Compressible Flow....Pages 53-62
Some New Results on the Nonlinear Singular Partial Differential Equations....Pages 63-71
A Unified Approach to the Theory of Fundamental Solutions, Non-degenerate Case....Pages 73-79
Fourier Integral Operators in SG Classes: Classical Operators....Pages 81-91
A Semigroup Criterion for the Completeness of Scattering Systems....Pages 93-102
Parameter-Elliptic Boundary Value Problems and their Formal Asymptotic Solutions....Pages 103-111
Solutions of q-Deformed Equations with Quantum Conformal Symmetry....Pages 113-118
Pseudodifferential Operators with Symbols in Weighted Function Spaces of Quasi-Subadditive Type....Pages 119-132
Spectral Analysis of Quantum Field Models with a Particle Number Cutoff....Pages 133-138
On the Norm Convergence of the Trotter—Kato Product Formula with Error Bound....Pages 139-147
Nonperturbative Techniques in the Investigation of the Spectral Properties of Many-Channel Systems....Pages 149-154
Essential Self-Adjointness of n-Dimensional Dirac Operators with a Variable Mass Term....Pages 155-163
Towards the Spectral Analysis of Schr?dinger Operator with Fractal Perturbation....Pages 165-167
Global Attractor for Generalized 2D Ginzburg-Landau Equation....Pages 169-178
Local Asymptotic Properties of Multifractional Brownian Motion....Pages 179-196
Strong Uniqueness for Dirichlet Operators with Singular Potentials....Pages 197-204
Hardy Type Inequalities, Mourre Estimate and A-priori Decay for Eigenfunctions....Pages 205-214
Surgery and the Relative Index in Elliptic Theory....Pages 215-221
Propagation of Wave Packets and its Applications....Pages 223-228
Gevrey and Analytic Properties of the Solutions of Several Classes of Partial Differential Equations....Pages 229-237
Periodic Manifolds, Spectral Gaps, and Eigenvalues in Gaps....Pages 239-243
Stability of Inverse Operators of Boundary Value Problems in Non-Smooth Expanding Domains....Pages 245-250
Local Algebra of a Non-Symmetric Corner....Pages 251-260
The Integrated Density of States for a Random Schr?dinger Operator in Strong Magnetic Fields. II. Asymptotics near Higher Landau Levels....Pages 261-274
Partial Differential Operators with Multiple Symplectic Characteristics....Pages 275-280
On the Homotopy Classification of Elliptic Boundary Value Problems....Pages 281-292
Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula....Pages 293-297
Eigenfunction Expansions Associated with Relativistic Schr?dinger Operators....Pages 299-305
The Time-Dependent Approach to Inverse Scattering....Pages 307-314
Cone Conormal Asymptotics....Pages 315-319
Back Matter....Pages 321-328
....Pages 329-336