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1

One-dimensional Dirac operators with zero-range interactions: Spectral, scattering, and topological results

Pankrashkin, Konstantin, Richard, Serge

Journal:

Journal of Mathematical Physics

Année:

2014

Langue:

english

Fichier:

PDF, 220 KB

english, 2014

2

On thep-Laplacian with Robin boundary conditions and boundary trace theorems

Kovařík, Hynek, Pankrashkin, Konstantin

Journal:

Calculus of Variations and Partial Differential Equations

Année:

2017

Langue:

english

Fichier:

PDF, 603 KB

english, 2017

3

Resolvent Expansions on Hybrid Manifolds

Konstantin Pankrashkin, Svetlana Roganova, Nader Yeganefar

Journal:

Integral Equations and Operator Theory

Année:

2011

Langue:

english

Fichier:

PDF, 340 KB

english, 2011

4

Cantor and Band Spectra for Periodic Quantum Graphs with Magnetic Fields

Jochen Brüning, Vladimir Geyler, Konstantin Pankrashkin

Journal:

Communications in Mathematical Physics

Année:

2007

Langue:

english

Fichier:

PDF, 234 KB

english, 2007

5

Spectra of Schrödinger Operators on Equilateral Quantum Graphs

Konstantin Pankrashkin

Journal:

Letters in Mathematical Physics

Année:

2006

Langue:

english

Fichier:

PDF, 181 KB

english, 2006

6

Localization on Quantum Graphs with Random Edge Lengths

Frédéric Klopp, Konstantin Pankrashkin

Journal:

Letters in Mathematical Physics

Année:

2009

Langue:

english

Fichier:

PDF, 214 KB

english, 2009

7

Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction

Pankrashkin, Konstantin

Journal:

Journal of Mathematical Physics

Année:

2006

Langue:

english

Fichier:

PDF, 515 KB

english, 2006

8

An example of unitary equivalence between self-adjoint extensions and their parameters

Pankrashkin, Konstantin

Journal:

Journal of Functional Analysis

Année:

2013

Langue:

english

Fichier:

PDF, 275 KB

english, 2013

9

A remark on the discriminant of Hill’s equation and Herglotz functions

Pankrashkin, Konstantin

Journal:

Archiv der Mathematik

Année:

2014

Langue:

english

Fichier:

PDF, 195 KB

english, 2014

10

Mean curvature bounds and eigenvalues of Robin Laplacians

Pankrashkin, Konstantin, Popoff, Nicolas

Journal:

Calculus of Variations and Partial Differential Equations

Année:

2015

Langue:

english

Fichier:

PDF, 249 KB

english, 2015

11

An inequality for the maximum curvature through a geometric flow

Pankrashkin, Konstantin

Journal:

Archiv der Mathematik

Année:

2015

Langue:

english

Fichier:

PDF, 397 KB

english, 2015

12

New Relations Between Discrete and Continuous Transition Operators on (Metric) Graphs

Lenz, Daniel, Pankrashkin, Konstantin

Journal:

Integral Equations and Operator Theory

Année:

2016

Langue:

english

Fichier:

PDF, 727 KB

english, 2016

13

Continuity Properties of Integral Kernels Associated with Schrödinger Operators on Manifolds

Jochen Brüning, Vladimir Geyler, Konstantin Pankrashkin

Journal:

Annales Henri Poincaré

Année:

2007

Langue:

english

Fichier:

PDF, 342 KB

english, 2007

14

Localization on Quantum Graphs with Random Vertex Couplings

Frédéric Klopp, Konstantin Pankrashkin

Journal:

Journal of Statistical Physics

Année:

2008

Langue:

english

Fichier:

PDF, 517 KB

english, 2008

15

Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures

Konstantin Pankrashkin

Journal:

Journal of Mathematical Analysis and Applications

Année:

2012

Langue:

english

Fichier:

PDF, 308 KB

english, 2012

16

SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS

BRÜNING, JOCHEN, GEYLER, VLADIMIR, PANKRASHKIN, KONSTANTIN

Journal:

Reviews in Mathematical Physics

Année:

2008

Langue:

english

Fichier:

PDF, 891 KB

english, 2008

17

A remark on Krein's resolvent formula and boundary conditions

Albeverio, Sergio, Pankrashkin, Konstantin

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

2005

Langue:

english

Fichier:

PDF, 103 KB

english, 2005

18

Strong Coupling Asymptotics for a Singular Schrödinger Operator with an Interaction Supported by an Open Arc

Exner, Pavel, Pankrashkin, Konstantin

Journal:

Communications in Partial Differential Equations

Année:

2014

Langue:

english

Fichier:

PDF, 208 KB

english, 2014

19

Resolvents of self-adjoint extensions with mixed boundary conditions

Pankrashkin, Konstantin

Journal:

Reports on Mathematical Physics

Année:

2006

Langue:

english

Fichier:

PDF, 829 KB

english, 2006

20

On-diagonal singularities of the Green functions for Schrödinger operators

Brüning, Jochen, Geyler, Vladimir, Pankrashkin, Konstantin

Journal:

Journal of Mathematical Physics

Année:

2005

Langue:

english

Fichier:

PDF, 430 KB

english, 2005

21

Levinson's theorem and higher degree traces for Aharonov-Bohm operators

Kellendonk, Johannes, Pankrashkin, Konstantin, Richard, Serge

Journal:

Journal of Mathematical Physics

Année:

2011

Langue:

english

Fichier:

PDF, 565 KB

english, 2011

22

SPECTRAL AND SCATTERING THEORY FOR THE AHARONOV–BOHM OPERATORS

PANKRASHKIN, KONSTANTIN, RICHARD, SERGE

Journal:

Reviews in Mathematical Physics

Année:

2011

Langue:

english

Fichier:

PDF, 338 KB

english, 2011

23

Quantum waveguides with small periodic perturbations: gaps and edges of Brillouin zones

Borisov, Denis, Pankrashkin, Konstantin

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2013

Langue:

english

Fichier:

PDF, 902 KB

english, 2013

24

Quasiperiodic surface Maryland models on quantum graphs

Pankrashkin, Konstantin

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2009

Langue:

english

Fichier:

PDF, 191 KB

english, 2009

25

Reducible boundary conditions in coupled channels

Pankrashkin, Konstantin

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

2005

Langue:

english

Fichier:

PDF, 185 KB

english, 2005

26

On semiclassical dispersion relations of Harper-like operators

Pankrashkin, Konstantin

Journal:

Journal of Physics A: Mathematical and General Physics

Année:

2004

Langue:

english

Fichier:

PDF, 301 KB

english, 2004

27

An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter

Pankrashkin, Konstantin, Popoff, Nicolas

Journal:

Journal de Mathématiques Pures et Appliquées

Année:

2016

Fichier:

PDF, 1.79 MB

2016

28

Eigenvalue inequalities and absence of threshold resonances for waveguide junctions

Pankrashkin, Konstantin

Journal:

Journal of Mathematical Analysis and Applications

Année:

2017

Langue:

english

Fichier:

PDF, 2.76 MB

english, 2017

29

Explicit Green functions for spin–orbit Hamiltonians

Brüning, Jochen, Geyler, Vladimir, Pankrashkin, Konstantin

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2007

Langue:

english

Fichier:

PDF, 272 KB

english, 2007

30

Discrete spectrum of interactions concentrated near conical surfaces

Ourmières-Bonafos, Thomas, Pankrashkin, Konstantin

Journal:

Applicable Analysis

Année:

2017

Langue:

english

Fichier:

PDF, 1.90 MB

english, 2017

31

Spectral asymptotics for δ -interactions on sharp cones

Ourmières-Bonafos, Thomas, Pankrashkin, Konstantin, Pizzichillo, Fabio

Journal:

Journal of Mathematical Analysis and Applications

Année:

2018

Langue:

english

Fichier:

PDF, 447 KB

english, 2018

32

Eigenvalues of Robin Laplacians in infinite sectors

Khalile, Magda, Pankrashkin, Konstantin

Journal:

Mathematische Nachrichten

Année:

2018

Langue:

english

Fichier:

PDF, 573 KB

english, 2018

33

Dirac operators with Lorentz scalar shell interactions

Holzmann, Markus, Ourmières-Bonafos, Thomas, Pankrashkin, Konstantin

Journal:

Reviews in Mathematical Physics

Année:

2018

Langue:

english

Fichier:

PDF, 495 KB

english, 2018

34

On the number of bound states for weak perturbations of spin–orbit Hamiltonians

Brüning, Jochen, Geyler, Vladimir, Pankrashkin, Konstantin

Journal:

Journal of Physics A Mathematical and Theoretical

Année:

2007

Langue:

english

Fichier:

PDF, 371 KB

english, 2007

35

On eigenvalue asymptotics for strong δ-interactions supported by surfaces with boundaries

Dittrich, Jaroslav, Exner, Pavel, Kühn, Christian, Pankrashkin, Konstantin

Journal:

Asymptotic Analysis

Année:

2016

Langue:

english

Fichier:

PDF, 243 KB

english, 2016

36

Self-adjoint indefinite Laplacians

Cacciapuoti, Claudio, Pankrashkin, Konstantin, Posilicano, Andrea

Journal:

Journal d'Analyse Mathématique

Année:

2019

Langue:

english

Fichier:

PDF, 330 KB

english, 2019

37

Self-adjoint indefinite Laplacians

Cacciapuoti, Claudio, Pankrashkin, Konstantin, Posilicano, Andrea

Journal:

Journal d'Analyse Mathématique

Année:

2019

Fichier:

PDF, 330 KB

2019

38

Dirac Operators on Hypersurfaces as Large Mass Limits

Moroianu, Andrei, Ourmières-Bonafos, Thomas, Pankrashkin, Konstantin

Journal:

Communications in Mathematical Physics

Année:

2019

Fichier:

PDF, 656 KB

2019

39

Strong coupling asymptotics for Î´-interactions supported by curves with cusps

Flamencourt, Brice, Pankrashkin, Konstantin

Journal:

Journal of Mathematical Analysis and Applications

Année:

2020

Fichier:

PDF, 491 KB

2020

40

An eigenvalue estimate for a Robin $p$-Laplacian in $C^1$ domains

Pankrashkin, Konstantin

Journal:

Proceedings of the American Mathematical Society

Année:

2020

Fichier:

PDF, 173 KB

2020

41

Two-dimensional Dirac operators with singular interactions supported on closed curves

Behrndt, Jussi, Holzmann, Markus, OurmiÃ¨res-Bonafos, Thomas, Pankrashkin, Konstantin

Journal:

Journal of Functional Analysis

Année:

2020

Fichier:

PDF, 1.01 MB

2020