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
pp. 17–38 Friedrichs-type inequalities in arbitrary domainsAndrea CianchiVladimir G. Maz'ya
pp. 39–40 Ari Laptev and the Journal of Spectral TheoryE. Brian Davies
pp. 41–63 Critical magnetic field for 2D magnetic Dirac–Coulomb operators and Hardy inequalitiesJean DolbeaultMaria J. EstebanMichael Loss
pp. 65–88 The Feshbach–Schur map and perturbation theoryGeneviève DussonIsrael Michael SigalBenjamin Stamm
pp. 89–113 Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representationsClotilde Fermanian KammererCaroline LasserDidier Robert
pp. 115–133 Length scales for BEC in the dilute Bose gasSøren Fournais
pp. 135–154 The periodic Lieb–Thirring inequalityRupert L. FrankDavid GontierMathieu Lewin
pp. 155–176 Semiclassical asymptotics for a class of singular Schrödinger operatorsRupert L. FrankSimon Larson
pp. 177–196 On the spectral properties of the Bloch–Torrey equation in infinite periodically perforated domainsDenis S. GrebenkovBernard HelfferNicolas Moutal
pp. 197–207 Counting bound states with maximal Fourier multipliersDirk HundertmarkPeer Christian KunstmannTobias RiedSemjon Vugalter
pp. 209–229 Sharp dimension estimates of the attractor of the damped 2D Euler–Bardina equationsAlexei A. IlyinSergey Zelik
pp. 231–245 Upper estimates for the electronic density in heavy atoms and moleculesVictor Ivrii
pp. 247–265 Non-linear Schrödinger equation in a uniform magnetic fieldThomas F. KiefferMichael Loss
pp. 267–275 Large behavior of d-bar problems for domains with a smooth boundaryChristian KleinJohannes SjöstrandNikola Stoilov
pp. 277–288 Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic fieldHynek Kovařík
pp. 289–300 A version of Watson lemma for Laplace integrals and some applicationsStanislas KupinSergey Naboko
pp. 301–314 Wehrl-type coherent state entropy inequalities for SU(1,1) and its subgroupElliott H. LiebJan Philip Solovej
pp. 315–329 Blow-ups for the Horn–Kapranov parametrization of the classical discriminantEvgeny MikhalkinVitaly StepanenkoAvgust Tsikh
pp. 331–354 Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical caseGrigori RozenblumEugene Shargorodsky
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 caseOleg Safronov
pp. 367–388 Bogoliubov theory for many-body quantum systemsBenjamin Schlein
pp. 389–403 A statistical theory of heavy atoms: Asymptotic behavior of the energy and stability of matterHeinz Siedentop
pp. 405–426 Homogenization of the higher-order Schrödinger-type equations with periodic coefficientsTatiana A. Suslina
pp. 427–443 Trace formulas for the modified Mathieu equationLeon A. Takhtajan
pp. 445–456 Eigenvalue accumulation and bounds for non-selfadjoint matrix differential operators related to NLSChristiane Tretter
pp. 457–478 Scattering theory for Laguerre operatorsDmitri Yafaev
pp. 479–481 List of contributors