Microlocal methods in mathematical physics and global analysis Daniel Grieser, Stefan Teufel, Andras Vasy, editors

Format:

Book

Contributor:

Grieser, Daniel, 1964-

Teufel, Stefan, 1970-

Vasy, András

Series:

Trends in mathematics

Language:

English

Subjects (All):

Microlocal analysis--Congresses.

Microlocal analysis.

Mathematical physics--Congresses.

Mathematical physics.

Global analysis (Mathematics)--Congresses.

Global analysis (Mathematics).

Genre:

proceedings (reports)

Conference papers and proceedings

Physical Description:

1 online resource

Place of Publication:

Basel New York Birkhäuser ©2013

Summary:

Microlocal analysis is a mathematical field that was invented for the detailed investigation of problems from partial differential equations in the mid-20th century and that incorporated and elaborated on many ideas that had originated in physics. Since then, it has grown to a powerful machine used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. This book collects extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from June 14th to 18th, 2011

Contents:

Semiclassical and adiabatic limits Local Smoothing with a Prescribed Loss for the Schrödinger Equation Hans Christianson, Jared Wunsch Propagation Through Trapped Sets and Semiclassical Resolvent Estimates Kiril Datchev, András Vasy Space-Adiabatic Theory for Random-Landau Hamiltonian: Results and Prospects Giuseppe De Nittis Microlocal Analysis of FIOs with Singularities Raluca Felea A Nonlinear Adiabatic Theorem for Coherent States Clotilde Fermanian Kammerer, Rémi Carles Adiabatic Limits and Related Lattice Point Problems Yuri A. Kordyukov, Andrey A. Yakovlev The Effective Hamiltonian in Curved Quantum Waveguides and When It Does Not Work David Krejčiřík, Helena Šediváková The Adiabatic Limit of the Laplacian on Thin Fibre Bundles Jonas Lampart, Stefan Teufel Adiabatic Limit with Isolated Degenerate Fibres Richard B. Melrose Microlocal Analysis and Adiabatic Problems: The Case of Perturbed Periodic Schrödinger Operators Gianluca Panati Recent Results in Semiclassical Approximation with Rough Potentials T. Paul

Singular spaces On the Closure of Elliptic Wedge Operators Juan B. Gil, Thomas Krainer, Gerardo A. Mendoza Generalized Blow-Up of Corners and Fiber Products Chris Kottke, Richard Melrose Trace Expansions for Elliptic Cone Operators Thomas Krainer, Juan B. Gil, Gerardo A. Mendoza Spectral Geometry for the Riemann Moduli Space Rafe Mazzeo Invariant Integral Operators on the Oshima Compactification of a Riemannian Symmetric Space: Kernel Asymptotics and Regularized Traces Pablo Ramacher, Aprameyan Parthasarathy Pseudodifferential Operators on Manifolds with Foliated Boundaries Frédéric Rochon The Determinant of the Laplacian on a Conically Degenerating Family of Metrics David A. Sher Spectral and scattering theory Relatively Isospectral Noncompact Surfaces Pierre Albin, Clara Aldana, Frédéric Rochon Microlocal Analysis of Scattering Data for Nested Conormal Potentials Suresh Eswarathasan Equidistribution of Eisenstein Series for Convex Co-compact Hyperbolic Manifolds Colin Guillarmou, Frédéric Naud

Lower Bounds for the Counting Function of an Integral Operator Yuri Safarov The Identification Problems in SPECT: Uniqueness, Non-uniqueness and Stability Plamen Stefanov Eigenvalues and Spectral Determinants on Compact Hyperbolic Surfaces Alexander Strohmaier, Ville Uski Wave propagation and topological applications A Support Theorem for a Nonlinear Radiation Field Dean Baskin, António Sá Barreto Propagation of Singularities Around a Lagrangian Submanifold of Radial Points Nick Haber, András Vasy Local Energy Decay for Several Evolution Equations on Asymptotically Euclidean Manifolds Dietrich Häfner, Jean-François Bony Rayleigh Surface Waves and Geometric Pseudo-differential Calculus Sönke Hansen Topological Implications of Global Hypoellipticity Gerardo A. Mendoza Chern-Simons Line Bundle on Teichmüller Space Sergiu Moroianu, Colin Guillarmou A Simple Diffractive Boundary Value Problem on an Asymptotically Anti-de Sitter Space Ha Pham Quantization in a Magnetic Field Radu Purice, Viorel Iftimie, Marius Măntoiu Price's Law on Black Hole Space-Times Daniel Tataru

Notes:

Includes bibliographical references

Other Format:

Printed edition:

ISBN:

9783034804660

3034804660

OCLC:

823306153

Access Restriction:

Restricted for use by site license