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E-grāmata: Partial Differential Equations and Spectral Theory: PDE2000 Conference in Clausthal, Germany

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This volume contains the proceedings of "PDE 2000", the international conference on partial differential equations held July 24 -28, 2000, in Clausthal. The confer­ ence took place during the EXPO 2000 and was sponsored by the Land Nieder­ sachsen, the Deutsche Forschungsgemeinschaft, the Bergstadt Clausthal-Zellerfeld and the Kreissparkasse Clausthal-Zellerfeld. This conference continues a series: Ludwigfelde 1976, Reinhardsbrunn 1985, Holz­ hau 1988, Breitenbrunn 1990, Lambrecht 1991 (proceedings in Operator Theory: Advances and Applications, Vol. 57, Birkhauser Verlag 1992), Potsdam 1992 and 1993, Holzhau 1994 (proceedings in Operator Theory: Advances and Applications, Vol. 78, Birkhauser Verlag 1995), Caputh 1995 and Potsdam 1996 (proceedings in Mathematical Research, Vol. 100, Akademie Verlag 1997). The intention of the organizers was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclas­ sical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochas­ tic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. Ben­ Artzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), 1. Rodino (Thrin), B.-W. Schulze (Potsdam) and J. Sjostrand (Paris).

Recenzijas

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)

Papildus informācija

Springer Book Archives
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 TrotterKato 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.- GlobalAttractor for Generalized 2D
GinzburgLandau 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.
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