Exner P., Frank R.L., Gesztesy F., Holden H., Weidl T. (eds.) Partial Differential Equations, Spectral Theory, and Mathematical Physics: The Ari Laptev Anniversary Volume

EMS Press, 2021. — 496 p. — (EMS Series of Congress Reports vol.18). — ISBN-13 9783985475070.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 Schr?dinger 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.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
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 jkj 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 C 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