| Title |
Partial Differential Equations, Spectral Theory, and Mathematical Physics ([EBook] :) : The Ari Laptev Anniversary Volume / / Pavel Exner, Rupert L. Frank, Fritz Gesztesy, Helge Holden, Timo Weidl |
| Added Personal Name |
Exner, Pavel |
| Frank, Rupert L. |
| Gesztesy, Fritz |
| Holden, Helge |
| Weidl, Timo |
| Publication |
Zuerich, Switzerland : : European Mathematical Society Publishing House, , 2021 |
| Physical Details |
1 online resource (494 pages) |
| Series |
EMS Series of Congress Reports (ECR) 2523-515X ; ; 18 |
| ISBN |
9783985475070 |
| Summary Note |
This volume is dedicated to Ari Laptev on the occasion of his 70th birthday. It collects contributions by his numerous colleagues sharing with him research interests in analysis and spectral theory. In brief, the topics covered include Friedrichs, Hardy, and Lieb–Thirring inequalities, eigenvalue bounds and asymptotics, Feshbach–Schur maps and perturbation theory, scattering theory and orthogonal polynomials, stability of matter, electron density estimates, Bose–Einstein condensation, Wehrl-type entropy inequalities, Bogoliubov theory, wave packet evolution, heat kernel estimates, homogenization, d-bar problems, Brezis–Nirenberg problems, the nonlinear Schrödinger equation in magnetic fields, classical discriminants, and the two-dimensional Euler–Bardina equations. In addition, Ari’s multifaceted service to the mathematical community is also touched upon. Altogether the volume presents a collection of research articles which will be of interest to any active scientist working in one of the above mentioned fields.: |
| Contents note |
A non-existence result for a generalized radial Brezis–Nirenberg problem /: Friedrichs-type inequalities in arbitrary domains /: Ari Laptev and the Journal of Spectral Theory /: Critical magnetic field for 2D magnetic Dirac–Coulomb operators and Hardy inequalities /: The Feshbach–Schur map and perturbation theory /: Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations /: Length scales for BEC in the dilute Bose gas /: The periodic Lieb–Thirring inequality /: Semiclassical asymptotics for a class of singular Schrödinger operators /: On the spectral properties of the Bloch–Torrey equation in infinite periodically perforated domains /: Counting bound states with maximal Fourier multipliers /: Sharp dimension estimates of the attractor of the damped 2D Euler–Bardina equations /: Upper estimates for the electronic density in heavy atoms and molecules /: Non-linear Schrödinger equation in a uniform magnetic field /: Large $:k:$ behavior of d-bar problems for domains with a smooth boundary /: Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic field /: A version of Watson lemma for Laplace integrals and some applications /: Wehrl-type coherent state entropy inequalities for SU(1,1) and its $AX+B$ subgroup /: Blow-ups for the Horn–Kapranov parametrization of the classical discriminant /: Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case /: Relations between two parts of the spectrum of a Schrödinger operator and other remarks on the absolute continuity of the spectrum in a typical case /: Bogoliubov theory for many-body quantum systems /: A statistical theory of heavy atoms: Asymptotic behavior of the energy and stability of matter /: Homogenization of the higher-order Schrödinger-type equations with periodic coefficients /: Trace formulas for the modified Mathieu equation /: Eigenvalue accumulation and bounds for non-selfadjoint matrix differential operators related to NLS /: Scattering theory for Laguerre operators /: |
| Mode of acces to digital resource |
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://doi.org/10.4171/ECR/18 |
| See Also |
https://www.ems-ph.org/img/books/exner-etal_mini.jpg |
| Links to Related Works |
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