Partial Differential Equations, Spectral Theory, and Mathematical Physics

pp. i–iv
Front matter
pp. v–vi
Preface
pp. vii–xii
Contents
pp. 1–15
A non-existence result for a generalized radial Brezis–Nirenberg problem
Rafael D. BenguriaSoledad Benguria
DOI 10.4171/ECR/18-1/1
pp. 17–38
Friedrichs-type inequalities in arbitrary domains
Andrea CianchiVladimir G. Maz'ya
DOI 10.4171/ECR/18-1/2
pp. 39–40
Ari Laptev and the Journal of Spectral Theory
E. Brian Davies
DOI 10.4171/ECR/18-1/3
pp. 41–63
Critical magnetic field for 2D magnetic Dirac–Coulomb operators and Hardy inequalities
Jean DolbeaultMaria J. EstebanMichael Loss
DOI 10.4171/ECR/18-1/4
pp. 65–88
The Feshbach–Schur map and perturbation theory
Geneviève DussonIsrael Michael SigalBenjamin Stamm
DOI 10.4171/ECR/18-1/5
pp. 89–113
Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations
Clotilde Fermanian KammererCaroline LasserDidier Robert
DOI 10.4171/ECR/18-1/6
pp. 115–133
Length scales for BEC in the dilute Bose gas
Søren Fournais
DOI 10.4171/ECR/18-1/7
pp. 135–154
The periodic Lieb–Thirring inequality
Rupert L. FrankDavid GontierMathieu Lewin
DOI 10.4171/ECR/18-1/8
pp. 155–176
Semiclassical asymptotics for a class of singular Schrödinger operators
Rupert L. FrankSimon Larson
DOI 10.4171/ECR/18-1/9
pp. 177–196
On the spectral properties of the Bloch–Torrey equation in infinite periodically perforated domains
Denis S. GrebenkovBernard HelfferNicolas Moutal
DOI 10.4171/ECR/18-1/10
pp. 197–207
Counting bound states with maximal Fourier multipliers
Dirk HundertmarkPeer Christian KunstmannTobias RiedSemjon Vugalter
DOI 10.4171/ECR/18-1/11
pp. 209–229
Sharp dimension estimates of the attractor of the damped 2D Euler–Bardina equations
Alexei A. IlyinSergey Zelik
DOI 10.4171/ECR/18-1/12
pp. 231–245
Upper estimates for the electronic density in heavy atoms and molecules
Victor Ivrii
DOI 10.4171/ECR/18-1/13
pp. 247–265
Non-linear Schrödinger equation in a uniform magnetic field
Thomas F. KiefferMichael Loss
DOI 10.4171/ECR/18-1/14
pp. 267–275
Large $∣ k ∣$ behavior of d-bar problems for domains with a smooth boundary
Christian KleinJohannes SjöstrandNikola Stoilov
DOI 10.4171/ECR/18-1/15
pp. 277–288
Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic field
Hynek Kovařík
DOI 10.4171/ECR/18-1/16
pp. 289–300
A version of Watson lemma for Laplace integrals and some applications
Stanislas KupinSergey Naboko
DOI 10.4171/ECR/18-1/17
pp. 301–314
Wehrl-type coherent state entropy inequalities for SU(1,1) and its $A X + B$ subgroup
Elliott H. LiebJan Philip Solovej
DOI 10.4171/ECR/18-1/18
pp. 315–329
Blow-ups for the Horn–Kapranov parametrization of the classical discriminant
Evgeny MikhalkinVitaly StepanenkoAvgust Tsikh
DOI 10.4171/ECR/18-1/19
pp. 331–354
Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case
Grigori RozenblumEugene Shargorodsky
DOI 10.4171/ECR/18-1/20
pp. 355–365
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
Oleg Safronov
DOI 10.4171/ECR/18-1/21
pp. 367–388
Bogoliubov theory for many-body quantum systems
Benjamin Schlein
DOI 10.4171/ECR/18-1/22
pp. 389–403
A statistical theory of heavy atoms: Asymptotic behavior of the energy and stability of matter
Heinz Siedentop
DOI 10.4171/ECR/18-1/23
pp. 405–426
Homogenization of the higher-order Schrödinger-type equations with periodic coefficients
Tatiana A. Suslina
DOI 10.4171/ECR/18-1/24
pp. 427–443
Trace formulas for the modified Mathieu equation
Leon A. Takhtajan
DOI 10.4171/ECR/18-1/25
pp. 445–456
Eigenvalue accumulation and bounds for non-selfadjoint matrix differential operators related to NLS
Christiane Tretter
DOI 10.4171/ECR/18-1/26
pp. 457–478
Scattering theory for Laguerre operators
Dmitri Yafaev
DOI 10.4171/ECR/18-1/27
pp. 479–481
List of contributors

Editors

Pavel Exner

Rupert L. Frank

Fritz Gesztesy

Helge Holden

Timo Weidl

Front matter

Preface

Contents

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 $A X + B$ 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

List of contributors