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1

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

Kovařík, Hynek, Pankrashkin, Konstantin

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2017

Language:

english

File:

PDF, 603 KB

english, 2017

2

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

Pankrashkin, Konstantin, Richard, Serge

Journal:

Journal of Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 220 KB

english, 2014

3

Cantor and Band Spectra for Periodic Quantum Graphs with Magnetic Fields

Jochen Brüning, Vladimir Geyler, Konstantin Pankrashkin

Journal:

Communications in Mathematical Physics

Year:

2007

Language:

english

File:

PDF, 234 KB

english, 2007

4

Self-Polarization and Migratory Polarization in Thin-Film Ferroelectric Capacitor

Pronin, I. P., Kaptelov, E. Y., Tarakanov, E. A., Sorokin, L. M., Afanasjev, V. P., Pankrashkin, A. V.

Journal:

Integrated Ferroelectrics

Year:

2002

Language:

english

File:

PDF, 765 KB

english, 2002

5

Tunneling between corners for Robin Laplacians

Helffer, B., Pankrashkin, K.

Journal:

Journal of the London Mathematical Society

Year:

2015

Language:

english

File:

PDF, 436 KB

english, 2015

6

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

Pankrashkin, Konstantin

Journal:

Journal of Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 515 KB

english, 2006

7

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

Pankrashkin, Konstantin

Journal:

Journal of Functional Analysis

Year:

2013

Language:

english

File:

PDF, 275 KB

english, 2013

8

Spectra of Schrödinger Operators on Equilateral Quantum Graphs

Konstantin Pankrashkin

Journal:

Letters in Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 181 KB

english, 2006

9

On the extrema of band functions in periodic waveguides

Borisov, D. I., Pankrashkin, K. V.

Journal:

Functional Analysis and Its Applications

Year:

2013

Language:

english

File:

PDF, 118 KB

english, 2013

10

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

Pankrashkin, Konstantin

Journal:

Archiv der Mathematik

Year:

2014

Language:

english

File:

PDF, 195 KB

english, 2014

11

An inequality for the maximum curvature through a geometric flow

Pankrashkin, Konstantin

Journal:

Archiv der Mathematik

Year:

2015

Language:

english

File:

PDF, 397 KB

english, 2015

12

Localization on Quantum Graphs with Random Edge Lengths

Frédéric Klopp, Konstantin Pankrashkin

Journal:

Letters in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 214 KB

english, 2009

13

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

Lenz, Daniel, Pankrashkin, Konstantin

Journal:

Integral Equations and Operator Theory

Year:

2016

Language:

english

File:

PDF, 727 KB

english, 2016

14

Mean curvature bounds and eigenvalues of Robin Laplacians

Pankrashkin, Konstantin, Popoff, Nicolas

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2015

Language:

english

File:

PDF, 249 KB

english, 2015

15

Resolvent Expansions on Hybrid Manifolds

Konstantin Pankrashkin, Svetlana Roganova, Nader Yeganefar

Journal:

Integral Equations and Operator Theory

Year:

2011

Language:

english

File:

PDF, 340 KB

english, 2011

16

Piezoelectric Properties of Self-Polarized Pb(ZrxTi1-x)O3 Thin Films Probed by Scanning Force Microscopy

Shvartsman, V. V., Pankrashkin, A. V., Afanasjev, V. P., Kaptelov, E. Yu., Pronin, I. P., Kholkin, A. L.

Journal:

Integrated Ferroelectrics

Year:

2005

Language:

english

File:

PDF, 573 KB

english, 2005

17

Continuity and Asymptotic Behavior of Integral Kernels Related to Schrodinger Operators on Manifolds

J. Bruning, V. A. Geiler, K. V. Pankrashkin

Journal:

Mathematical Notes

Year:

2005

Language:

english

File:

PDF, 121 KB

english, 2005

18

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

BRÜNING, JOCHEN, GEYLER, VLADIMIR, PANKRASHKIN, KONSTANTIN

Journal:

Reviews in Mathematical Physics

Year:

2008

Language:

english

File:

PDF, 891 KB

english, 2008

19

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

Kellendonk, Johannes, Pankrashkin, Konstantin, Richard, Serge

Journal:

Journal of Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 565 KB

english, 2011

20

On the spectrum of a waveguide with periodic cracks

Year:

2010

Language:

english

File:

PDF, 173 KB

english, 2010

21

Discrete spectrum of interactions concentrated near conical surfaces

Ourmières-Bonafos, Thomas, Pankrashkin, Konstantin

Journal:

Applicable Analysis

Year:

2017

Language:

english

File:

PDF, 1.90 MB

english, 2017

22

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

Year:

2007

Language:

english

File:

PDF, 371 KB

english, 2007

23

Reducible boundary conditions in coupled channels

Pankrashkin, Konstantin

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2005

Language:

english

File:

PDF, 185 KB

english, 2005

24

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

Year:

2016

File:

PDF, 1.79 MB

2016

25

Self-polarization and migratory polarization in thin lead zirconate-titanate films

I. P. Pronin, E. Yu. Kaptelov, E. A. Tarakanov, T. A. Shaplygina, V. P. Afanas’ev, A. V. Pankrashkin

Journal:

Physics of the Solid State

Year:

2002

Language:

english

File:

PDF, 71 KB

english, 2002

26

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

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

Journal:

Asymptotic Analysis

Year:

2016

Language:

english

File:

PDF, 243 KB

english, 2016

27

Dirac Operators on Hypersurfaces as Large Mass Limits

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

Journal:

Communications in Mathematical Physics

Year:

2019

File:

PDF, 656 KB

2019

28

Resolvents of self-adjoint extensions with mixed boundary conditions

Pankrashkin, Konstantin

Journal:

Reports on Mathematical Physics

Year:

2006

Language:

english

File:

PDF, 829 KB

english, 2006

29

On-diagonal singularities of the Green functions for Schrödinger operators

Brüning, Jochen, Geyler, Vladimir, Pankrashkin, Konstantin

Journal:

Journal of Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 430 KB

english, 2005

30

Eigenvalues of Robin Laplacians in infinite sectors

Khalile, Magda, Pankrashkin, Konstantin

Journal:

Mathematische Nachrichten

Year:

2018

Language:

english

File:

PDF, 573 KB

english, 2018

31

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

Borisov, Denis, Pankrashkin, Konstantin

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2013

Language:

english

File:

PDF, 902 KB

english, 2013

32

Spectral asymptotics for δ -interactions on sharp cones

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

Journal:

Journal of Mathematical Analysis and Applications

Year:

2018

Language:

english

File:

PDF, 447 KB

english, 2018

33

Structure and Properties of Mixtures of Phthalocyanine Pigment and Di-Para-Methyldibenzylidene-Sorbitol with Isotactic Polypropylene

Pankrashkin, A.V., Chalykh, A.E., Matveev, V.V., Ivanov, A.N., Kalugina, E.V., Ushakova, O.B.

Journal:

International Polymer Science and Technology

Year:

2012

Language:

english

File:

PDF, 197 KB

english, 2012

34

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

Pankrashkin, Konstantin

Journal:

Proceedings of the American Mathematical Society

Year:

2020

File:

PDF, 173 KB

2020

35

Vladimir A. Geyler

S. Albeverio, J. Brüning, S. Dobrokhotov, P. Exner, V. Koshmanenko, K. Pankrashkin, B. Pavlov, I. Popov, P. Šťovíček

Journal:

Russian Journal of Mathematical Physics

Year:

2007

Language:

english

File:

PDF, 255 KB

english, 2007

36

Investigation of the anisotropic electron distribution function in a glow discharge in hydrogen

Yu. B. Pankrashkin, M. B. Shapochkin

Journal:

Plasma Physics Reports

Year:

2003

Language:

english

File:

PDF, 75 KB

english, 2003

37

Dirac operators with Lorentz scalar shell interactions

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

Journal:

Reviews in Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 495 KB

english, 2018

38

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

Flamencourt, Brice, Pankrashkin, Konstantin

Journal:

Journal of Mathematical Analysis and Applications

Year:

2020

File:

PDF, 491 KB

2020

39

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

Year:

2012

Language:

english

File:

PDF, 308 KB

english, 2012

40

Eigenvalue inequalities and absence of threshold resonances for waveguide junctions

Pankrashkin, Konstantin

Journal:

Journal of Mathematical Analysis and Applications

Year:

2017

Language:

english

File:

PDF, 2.76 MB

english, 2017

41

Hall conductivity of minibands lying at the wings of Landau levels

J. Brüning, S. Yu. Dobrokhotov, V. A. Geyler, K. V. Pankrashkin

Journal:

Year:

2003

Language:

english

File:

PDF, 51 KB

english, 2003

42

The Asymptotic Form of the Lower Landau Bands in a Strong Magnetic Field

J. Brüning, S. Yu. Dobrokhotov, K. V. Pankrashkin

Journal:

Theoretical and Mathematical Physics

Year:

2002

Language:

english

File:

PDF, 350 KB

english, 2002

43

On semiclassical dispersion relations of Harper-like operators

Pankrashkin, Konstantin

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2004

Language:

english

File:

PDF, 301 KB

english, 2004

44

Self-adjoint indefinite Laplacians

Cacciapuoti, Claudio, Pankrashkin, Konstantin, Posilicano, Andrea

Journal:

Journal d'Analyse Mathématique

Year:

2019

Language:

english

File:

PDF, 330 KB

english, 2019

45

Gap opening and split band edges in waveguides coupled by a periodic system of small windows

D. I. Borisov, K. V. Pankrashkin

Journal:

Mathematical Notes

Year:

2013

Language:

english

File:

PDF, 696 KB

english, 2013

46

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

Year:

2014

Language:

english

File:

PDF, 208 KB

english, 2014

47

Self-adjoint indefinite Laplacians

Cacciapuoti, Claudio, Pankrashkin, Konstantin, Posilicano, Andrea

Journal:

Journal d'Analyse Mathématique

Year:

2019

File:

PDF, 330 KB

2019

48

On the discrete spectrum of spin-orbit Hamiltonians with singular interactions

J. Brüning, V. Geyler, K. Pankrashkin

Journal:

Russian Journal of Mathematical Physics

Year:

2007

Language:

english

File:

PDF, 440 KB

english, 2007

49

A remark on Krein's resolvent formula and boundary conditions

Albeverio, Sergio, Pankrashkin, Konstantin

Journal:

Journal of Physics A: Mathematical and General Physics

Year:

2005

Language:

english

File:

PDF, 103 KB

english, 2005

50

SPECTRAL AND SCATTERING THEORY FOR THE AHARONOV–BOHM OPERATORS

PANKRASHKIN, KONSTANTIN, RICHARD, SERGE

Journal:

Reviews in Mathematical Physics

Year:

2011

Language:

english

File:

PDF, 338 KB

english, 2011

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