Partial Differential Equations, Spectral Theory, and Mathematical Physics
The Ari Laptev Anniversary Volume
Editors
Pavel Exner
Czech Technical University, Prague and Czech Academy of Sciences, Řež, Czech RepublicRupert L. Frank
California Institute of Technology, Pasadena, USA and Ludwig-Maximilians-Universität München, GermanyFritz Gesztesy
Baylor University, Waco, USAHelge Holden
Norwegian University of Science and Technology, Trondheim, NorwayTimo Weidl
Universität Stuttgart, Germany
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pp. i–iv Front matterpp. v–vi Prefacepp. vii–xii Contentspp. 1–15 A non-existence result for a generalized radial Brezis–Nirenberg problemRafael D. BenguriaSoledad Benguria
DOI 10.4171/ECR/18-1/1pp. 17–38 Friedrichs-type inequalities in arbitrary domainsAndrea CianchiVladimir G. Maz'ya
DOI 10.4171/ECR/18-1/2pp. 39–40 Ari Laptev and the Journal of Spectral TheoryE. Brian Davies
DOI 10.4171/ECR/18-1/3pp. 41–63 Critical magnetic field for 2D magnetic Dirac–Coulomb operators and Hardy inequalitiesJean DolbeaultMaria J. EstebanMichael Loss
DOI 10.4171/ECR/18-1/4pp. 65–88 The Feshbach–Schur map and perturbation theoryGeneviève DussonIsrael Michael SigalBenjamin Stamm
DOI 10.4171/ECR/18-1/5pp. 89–113 Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representationsClotilde Fermanian KammererCaroline LasserDidier Robert
DOI 10.4171/ECR/18-1/6pp. 115–133 Length scales for BEC in the dilute Bose gasSøren Fournais
DOI 10.4171/ECR/18-1/7pp. 135–154 The periodic Lieb–Thirring inequalityRupert L. FrankDavid GontierMathieu Lewin
DOI 10.4171/ECR/18-1/8pp. 155–176 Semiclassical asymptotics for a class of singular Schrödinger operatorsRupert L. FrankSimon Larson
DOI 10.4171/ECR/18-1/9pp. 177–196 On the spectral properties of the Bloch–Torrey equation in infinite periodically perforated domainsDenis S. GrebenkovBernard HelfferNicolas Moutal
DOI 10.4171/ECR/18-1/10pp. 197–207 Counting bound states with maximal Fourier multipliersDirk HundertmarkPeer Christian KunstmannTobias RiedSemjon Vugalter
DOI 10.4171/ECR/18-1/11pp. 209–229 Sharp dimension estimates of the attractor of the damped 2D Euler–Bardina equationsAlexei A. IlyinSergey Zelik
DOI 10.4171/ECR/18-1/12pp. 231–245 Upper estimates for the electronic density in heavy atoms and moleculesVictor Ivrii
DOI 10.4171/ECR/18-1/13pp. 247–265 Non-linear Schrödinger equation in a uniform magnetic fieldThomas F. KiefferMichael Loss
DOI 10.4171/ECR/18-1/14pp. 267–275 Large behavior of d-bar problems for domains with a smooth boundaryChristian KleinJohannes SjöstrandNikola Stoilov
DOI 10.4171/ECR/18-1/15pp. 277–288 Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic fieldHynek Kovařík
DOI 10.4171/ECR/18-1/16pp. 289–300 A version of Watson lemma for Laplace integrals and some applicationsStanislas KupinSergey Naboko
DOI 10.4171/ECR/18-1/17pp. 301–314 Wehrl-type coherent state entropy inequalities for SU(1,1) and its subgroupElliott H. LiebJan Philip Solovej
DOI 10.4171/ECR/18-1/18pp. 315–329 Blow-ups for the Horn–Kapranov parametrization of the classical discriminantEvgeny MikhalkinVitaly StepanenkoAvgust Tsikh
DOI 10.4171/ECR/18-1/19pp. 331–354 Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical caseGrigori RozenblumEugene Shargorodsky
DOI 10.4171/ECR/18-1/20pp. 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 caseOleg Safronov
DOI 10.4171/ECR/18-1/21pp. 367–388 Bogoliubov theory for many-body quantum systemsBenjamin Schlein
DOI 10.4171/ECR/18-1/22pp. 389–403 A statistical theory of heavy atoms: Asymptotic behavior of the energy and stability of matterHeinz Siedentop
DOI 10.4171/ECR/18-1/23pp. 405–426 Homogenization of the higher-order Schrödinger-type equations with periodic coefficientsTatiana A. Suslina
DOI 10.4171/ECR/18-1/24pp. 427–443 Trace formulas for the modified Mathieu equationLeon A. Takhtajan
DOI 10.4171/ECR/18-1/25pp. 445–456 Eigenvalue accumulation and bounds for non-selfadjoint matrix differential operators related to NLSChristiane Tretter
DOI 10.4171/ECR/18-1/26pp. 457–478 Scattering theory for Laguerre operatorsDmitri Yafaev
DOI 10.4171/ECR/18-1/27pp. 479–481 List of contributors