Partial Differential Equations, Spectral Theory, and Mathematical Physics The Ari Laptev Anniversary Volume

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.

Keywords: Friedrichs inequality, Hardy inequality, Lieb–Thirring inequality, Feshbach–Schur map, scattering theory, Wehrl-type entropy inequalities, electron density estimates, stability of matter, Bose–Einstein condensation, heat kernel estimates, Euler–Bardina equations, nonlinear Schrödinger equation, Brezis–Nirenberg problem, d-bar problem, Bogoliubov theory, wave packet evolution