Partial Differential Equations, Spectral Theory, and Mathematical Physics


Book details

A non-existence result for a generalized radial Brezis–Nirenberg problem
Rafael D. Benguria and Soledad Benguria
pp. 1–15
Abstract | Full-Text PDF (233 KB)

Friedrichs-type inequalities in arbitrary domains
Andrea Cianchi and Vladimir G. Maz'ya
pp. 17–38
Abstract | Full-Text PDF (490 KB)

Ari Laptev and the Journal of Spectral Theory
E. Brian Davies
pp. 39–40
Abstract | Full-Text PDF (35 KB)

Critical magnetic field for 2D magnetic Dirac–Coulomb operators and Hardy inequalities
Jean Dolbeault, Maria J. Esteban and Michael Loss
pp. 41–63
Abstract | Full-Text PDF (317 KB)

The Feshbach–Schur map and perturbation theory
Geneviève Dusson, Israel Michael Sigal and Benjamin Stamm
pp. 65–88
Abstract | Full-Text PDF (948 KB)

Adiabatic and non-adiabatic evolution of wave packets and applications to initial value representations
Clotilde Fermanian Kammerer, Caroline Lasser and Didier Robert
pp. 89–113
Abstract | Full-Text PDF (349 KB)

Length scales for BEC in the dilute Bose gas
Søren Fournais
pp. 115–133
Abstract | Full-Text PDF (257 KB)

The periodic Lieb–Thirring inequality
Rupert L. Frank, David Gontier and Mathieu Lewin
pp. 135–154
Abstract | Full-Text PDF (3179 KB)

Semiclassical asymptotics for a class of singular Schrödinger operators
Rupert L. Frank and Simon Larson
pp. 155–176
Abstract | Full-Text PDF (287 KB)

On the spectral properties of the Bloch–Torrey equation in infinite periodically perforated domains
Denis S. Grebenkov, Bernard Helffer and Nicolas Moutal
pp. 177–196
Abstract | Full-Text PDF (294 KB)

Counting bound states with maximal Fourier multipliers
Dirk Hundertmark, Peer Christian Kunstmann, Tobias Ried and Semjon Vugalter
pp. 197–207
Abstract | Full-Text PDF (205 KB)

Sharp dimension estimates of the attractor of the damped 2D Euler–Bardina equations
Alexei A. Ilyin and Sergey Zelik
pp. 209–229
Abstract | Full-Text PDF (296 KB)

Upper estimates for the electronic density in heavy atoms and molecules
Victor Ivrii
pp. 231–245
Abstract | Full-Text PDF (276 KB)

Non-linear Schrödinger equation in a uniform magnetic field
Thomas F. Kieffer and Michael Loss
pp. 247–265
Abstract | Full-Text PDF (282 KB)

Large $|k|$ behavior of d-bar problems for domains with a smooth boundary
Christian Klein, Johannes Sjöstrand and Nikola Stoilov
pp. 267–275
Abstract | Full-Text PDF (228 KB)

Heat kernel estimates for two-dimensional relativistic Hamiltonians with magnetic field
Hynek Kovařík
pp. 277–288
Abstract | Full-Text PDF (262 KB)

A version of Watson lemma for Laplace integrals and some applications
Stanislas Kupin and Sergey Naboko
pp. 289–300
Abstract | Full-Text PDF (217 KB)

Wehrl-type coherent state entropy inequalities for SU(1,1) and its $AX+B$ subgroup
Elliott H. Lieb and Jan Philip Solovej
pp. 301–314
Abstract | Full-Text PDF (234 KB)

Blow-ups for the Horn–Kapranov parametrization of the classical discriminant
Evgeny Mikhalkin, Vitaly Stepanenko and Avgust Tsikh
pp. 315–329
Abstract | Full-Text PDF (228 KB)

Eigenvalue estimates and asymptotics for weighted pseudodifferential operators with singular measures in the critical case
Grigori Rozenblum and Eugene Shargorodsky
pp. 331–354
Abstract | Full-Text PDF (340 KB)

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
pp. 355–365
Abstract | Full-Text PDF (213 KB)

Bogoliubov theory for many-body quantum systems
Benjamin Schlein
pp. 367–388
Abstract | Full-Text PDF (323 KB)

A statistical theory of heavy atoms: Asymptotic behavior of the energy and stability of matter
Heinz Siedentop
pp. 389–403
Abstract | Full-Text PDF (262 KB)

Homogenization of the higher-order Schrödinger-type equations with periodic coefficients
Tatiana A. Suslina
pp. 405–426
Abstract | Full-Text PDF (383 KB)

Trace formulas for the modified Mathieu equation
Leon A. Takhtajan
pp. 427–443
Abstract | Full-Text PDF (257 KB)

Eigenvalue accumulation and bounds for non-selfadjoint matrix differential operators related to NLS
Christiane Tretter
pp. 445–456
Abstract | Full-Text PDF (243 KB)

Scattering theory for Laguerre operators
Dmitri Yafaev
pp. 457–478
Abstract | Full-Text PDF (316 KB)

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