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## Karpeshina, Yulia E.

Compute Distance To:
 Author ID: karpeshina.yulia-e Published as: Karpeshina, Yu. E.; Karpeshina, Yulia; Karpeshina, Yulia E.; Karpeshina, Yu.
 Documents Indexed: 45 Publications since 1981, including 4 Books
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#### Co-Authors

 29 single-authored 6 Lee, Young-Ran 6 Shterenberg, Roman G. 2 Stolz, Gunter 2 Weikard, Rudi 1 Chernov, Nikolai Ivanovich 1 Kim, Seonguk 1 Kiselev, Alexander A. 1 Knowles, Ian Walker 1 Kruglov, Vladimir I. 1 Kurasov, P. A. 1 Lewis, Roger T. 1 McLaughlin, Joyce Rogers 1 Miroshnichenko, G. P. 1 Naboko, Serguei N. 1 Pankratova, T. F. 1 Parnovski, Leonid 1 Pavlov, Boris Sergeevich 1 Popov, Igor’ Yur’evich 1 Ryzhkov, A. E. 1 Yafyasov, Adil’ Malikovich 1 Zeng, Yanni
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#### Serials

 3 Journal of Mathematical Physics 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya 2 Journal of Soviet Mathematics 2 Contemporary Mathematics 1 Mathematical Notes 1 Arkiv för Matematik 1 Mathematics of the USSR. Izvestiya 1 Memoirs of the American Mathematical Society 1 Soviet Mathematics. Doklady 1 Selecta Mathematica Sovietica 1 Communications in Partial Differential Equations 1 Mathematics of the USSR, Sbornik 1 Vestnik Leningrad University. Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Matematicheskiĭ Sbornik 1 Communications in Analysis and Geometry 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Séminaire Équations aux Dérivées Partielles 1 Journal of Mathematical Sciences (New York) 1 Mathematical Research Letters 1 Electronic Research Announcements of the American Mathematical Society 1 Problemy Matematicheskogo Analiza 1 Lecture Notes in Mathematics 1 Problemy Matematicheskoĭ Fiziki 1 Proceedings of the Steklov Institute of Mathematics 1 Teoriya Operatorov i Teoriya Funktsiĭ 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Nanosystems. Physics, Chemistry, Mathematics
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#### Fields

 33 Partial differential equations (35-XX) 23 Quantum theory (81-XX) 14 Operator theory (47-XX) 3 Potential theory (31-XX) 3 Ordinary differential equations (34-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Fluid mechanics (76-XX)

#### Citations contained in zbMATH Open

22 Publications have been cited 115 times in 80 Documents Cited by Year
Perturbation theory for the Schrödinger operator with a periodic potential. Zbl 0883.35002
Karpeshina, Yu. E.
1997
Spectral properties of the periodic magnetic Schrödinger operator in the high-energy region. Two-dimensional case. Zbl 1059.81058
Karpeshina, Yulia
2004
Zero radius interaction for the biharmonic and polyharmonic equations. Zbl 0641.35022
Karpeshina, Yu. E.; Pavlov, B. S.
1986
On the density of states for the periodic Schrödinger operator. Zbl 1021.35027
Karpeshina, Yulia E.
2000
Spectral properties of polyharmonic operators with limit-periodic potential in dimension two. Zbl 1145.31001
Karpeshina, Yulia; Lee, Young-Ran
2007
Absolutely continuous spectrum of a polyharmonic operator with a limit periodic potential in dimension two. Zbl 1151.35060
Karpeshina, Yulia; Lee, Young-Ran
2008
A distinguished mathematical physicist Boris S. Pavlov. Zbl 1364.01036
Popov, I. Y.; Kurasov, P. A.; Naboko, S. N.; Kiselev, A. A.; Ryzhkov, A. E.; Yafyasov, A. M.; Miroshnichenko, G. P.; Karpeshina, Yu. E.; Kruglov, V. I.; Pankratova, T. F.; Popov, A. I.
2016
Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two. Zbl 1371.35238
Karpeshina, Yulia; Lee, Young-Ran; Shterenberg, Roman; Stolz, Günter
2017
Spectral properties of a limit-periodic Schrödinger operator in dimension two. Zbl 1388.35133
Karpeshina, Yulia; Lee, Young-Ran
2013
Extended states for polyharmonic operators with quasi-periodic potentials in dimension two. Zbl 1278.81078
Karpeshina, Yulia; Shterenberg, Roman
2012
Perturbation series for the Schrödinger operator with a periodic potential near planes of diffraction. Zbl 0863.35067
Karpeshina, Yu. E.
1996
Perturbation theory for the Schrödinger operator with a periodic nonsmooth potential. Zbl 0731.35071
Karpeshina, Yu. E.
1990
Perturbation theory for the Schrödinger operator with a periodic potential. Zbl 0731.35074
Karpeshina, Yu. E.
1991
Multiscale analysis in momentum space for quasi-periodic potential in dimension two. Zbl 1292.81044
Karpeshina, Yulia; Shterenberg, Roman
2013
Extended states for the Schrödinger operator with quasi-periodic potential in dimension two. Zbl 1442.35003
Karpeshina, Yulia; Shterenberg, Roman
2019
Advances in differential equations and mathematical physics. Proceedings of the 9th UAB international conference, University of Alabama, Birmingham, AL, USA, March 26–30, 2002. Zbl 1015.00019
Karpeshina, Yulia (ed.); Stolz, Günter (ed.); Weikard, Rudi (ed.); Zeng, Yanni (ed.)
2003
On the periodic magnetic Schrödinger operator in $$\mathbb{R}^d$$. Eigenvalues and model functions. Zbl 1045.35057
Karpeshina, Yu. E.
2002
A theorem of eigenfunction expansion for the Schrödinger operator with a homogeneous simple two-dimensional lattice of potentials of radius zero in three-dimensional space. Zbl 0546.35020
Karpeshina, Yu. E.
1984
The theory of perturbations for a polyharmonic operator with non-smooth periodic potential. Zbl 0676.47033
Karpeshina, Yu. E.
1988
Perturbation formulae for the Schrödinger operator with a periodic potential near planes of diffraction. Zbl 0839.35088
Karpeshina, Yu. E.
1995
On polyharmonic operators with limit-periodic potential in dimension two. Zbl 1109.81031
Karpeshina, Yulia; Lee, Young-Ran
2006
Zero-range model of $$p$$-scattering by a potential well. Zbl 1253.81121
Karpeshina, Yu. E.
2011
Extended states for the Schrödinger operator with quasi-periodic potential in dimension two. Zbl 1442.35003
Karpeshina, Yulia; Shterenberg, Roman
2019
Ballistic transport for the Schrödinger operator with limit-periodic or quasi-periodic potential in dimension two. Zbl 1371.35238
Karpeshina, Yulia; Lee, Young-Ran; Shterenberg, Roman; Stolz, Günter
2017
A distinguished mathematical physicist Boris S. Pavlov. Zbl 1364.01036
Popov, I. Y.; Kurasov, P. A.; Naboko, S. N.; Kiselev, A. A.; Ryzhkov, A. E.; Yafyasov, A. M.; Miroshnichenko, G. P.; Karpeshina, Yu. E.; Kruglov, V. I.; Pankratova, T. F.; Popov, A. I.
2016
Spectral properties of a limit-periodic Schrödinger operator in dimension two. Zbl 1388.35133
Karpeshina, Yulia; Lee, Young-Ran
2013
Multiscale analysis in momentum space for quasi-periodic potential in dimension two. Zbl 1292.81044
Karpeshina, Yulia; Shterenberg, Roman
2013
Extended states for polyharmonic operators with quasi-periodic potentials in dimension two. Zbl 1278.81078
Karpeshina, Yulia; Shterenberg, Roman
2012
Zero-range model of $$p$$-scattering by a potential well. Zbl 1253.81121
Karpeshina, Yu. E.
2011
Absolutely continuous spectrum of a polyharmonic operator with a limit periodic potential in dimension two. Zbl 1151.35060
Karpeshina, Yulia; Lee, Young-Ran
2008
Spectral properties of polyharmonic operators with limit-periodic potential in dimension two. Zbl 1145.31001
Karpeshina, Yulia; Lee, Young-Ran
2007
On polyharmonic operators with limit-periodic potential in dimension two. Zbl 1109.81031
Karpeshina, Yulia; Lee, Young-Ran
2006
Spectral properties of the periodic magnetic Schrödinger operator in the high-energy region. Two-dimensional case. Zbl 1059.81058
Karpeshina, Yulia
2004
Advances in differential equations and mathematical physics. Proceedings of the 9th UAB international conference, University of Alabama, Birmingham, AL, USA, March 26–30, 2002. Zbl 1015.00019
Karpeshina, Yulia; Stolz, Günter; Weikard, Rudi; Zeng, Yanni
2003
On the periodic magnetic Schrödinger operator in $$\mathbb{R}^d$$. Eigenvalues and model functions. Zbl 1045.35057
Karpeshina, Yu. E.
2002
On the density of states for the periodic Schrödinger operator. Zbl 1021.35027
Karpeshina, Yulia E.
2000
Perturbation theory for the Schrödinger operator with a periodic potential. Zbl 0883.35002
Karpeshina, Yu. E.
1997
Perturbation series for the Schrödinger operator with a periodic potential near planes of diffraction. Zbl 0863.35067
Karpeshina, Yu. E.
1996
Perturbation formulae for the Schrödinger operator with a periodic potential near planes of diffraction. Zbl 0839.35088
Karpeshina, Yu. E.
1995
Perturbation theory for the Schrödinger operator with a periodic potential. Zbl 0731.35074
Karpeshina, Yu. E.
1991
Perturbation theory for the Schrödinger operator with a periodic nonsmooth potential. Zbl 0731.35071
Karpeshina, Yu. E.
1990
The theory of perturbations for a polyharmonic operator with non-smooth periodic potential. Zbl 0676.47033
Karpeshina, Yu. E.
1988
Zero radius interaction for the biharmonic and polyharmonic equations. Zbl 0641.35022
Karpeshina, Yu. E.; Pavlov, B. S.
1986
A theorem of eigenfunction expansion for the Schrödinger operator with a homogeneous simple two-dimensional lattice of potentials of radius zero in three-dimensional space. Zbl 0546.35020
Karpeshina, Yu. E.
1984
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#### Cited by 91 Authors

 13 Karpeshina, Yulia E. 9 Shterenberg, Roman G. 7 Nazarov, Sergeĭ Aleksandrovich 7 Parnovski, Leonid 7 Popov, Igor’ Yur’evich 6 Borisov, Denis Ivanovich 5 Fillman, Jake 5 Lee, Young-Ran 4 Sobolev, Alexander V. 2 Andronov, Ivan V. 2 Blinova, Irina V. 2 Boitsev, A. A. 2 Damanik, David 2 Gorodetski, Anton 2 Han, Rui 2 Kuchment, Peter A. 2 Sokołowski, Jan 1 Bambusi, Dario 1 Barbatis, Gerassimos 1 Bentosela, François 1 Boumaza, Hakim 1 Brasche, Johannes Friedemann 1 Briet, Philippe 1 Buttazzo, Giuseppe 1 Cardone, Giuseppe 1 Carles, Rémi 1 De Oliveira, Gustavo 1 Dimassi, Mouez 1 Drouot, Alexis 1 Duerinckx, Mitia 1 El Aidi, Mohammed 1 Elton, Daniel M. 1 Embree, Mark 1 Exner, Pavel 1 Flambaum, Victor V. 1 Froehly, André 1 Gerasimov, D. A. 1 Gerasimov, Dmitry Nikolaevich 1 Gloria, Antoine 1 Gorbachuk, Myroslav L’vovych 1 Gorbachuk, Valentyna Ivanivna 1 Hempel, Rainer 1 Herbst, Ira W. 1 Hou, Xuanji 1 Izotova, O. V. 1 Jitomirskaya, Svetlana Ya. 1 Kaminaga, Masahiro 1 Kim, Seonguk 1 Klopp, Frédéric 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kowalewski, Adam 1 Kunyansky, Leonid A. 1 Kurasov, Pavel B. 1 Lafitte, Olivier D. 1 Langella, Beatrice 1 Lasiecka, Irena 1 Latushkin, Yuri 1 Lucha, Wolfgang 1 Martin, Gaven J. 1 Mine, Takuya 1 Montalto, Riccardo 1 Morozov, Sergey 1 Moulay, Emmanuel 1 Neidhardt, Hagen 1 Pankrashkin, Konstantin 1 Papanicolaou, Vassilis G. 1 Pastur, Leonid Andreevich 1 Pavlov, Boris Sergeevich 1 Phillips, N. Christopher 1 Plamenevskiĭ, Boris Alekseevich 1 Popov, Anton 1 Schenker, Jeffrey H. 1 Shamaev, Alexei S. 1 Shan, Yuan 1 Shirley, Christopher 1 Shumilova, Vladlena Valerievna 1 Skriganov, Maxim M. 1 Stolz, Gunter 1 Sukhtaiev, Selim 1 Sukhtayev, Alim 1 Sweers, Guido H. 1 Tilocco, F. Zak 1 Valencia, Gerardo Daniel 1 Veliev, Oktay Alish 1 Vorobets, Mariya 1 Weder, Ricardo A. 1 Wolff, Thomas H. 1 Xia, Aliang 1 Yang, Jianfu 1 You, Jiangong 1 Zhang, Shiwen
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#### Cited in 41 Serials

 9 Communications in Mathematical Physics 6 Journal d’Analyse Mathématique 6 Journal of Mathematical Physics 5 Journal of Mathematical Sciences (New York) 4 Annales Henri Poincaré 3 Journal of Mathematical Analysis and Applications 3 Communications in Partial Differential Equations 3 Complex Variables and Elliptic Equations 2 Reports on Mathematical Physics 2 Reviews in Mathematical Physics 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 St. Petersburg Mathematical Journal 2 Proceedings of the Steklov Institute of Mathematics 1 Journal of Applied Mathematics and Mechanics 1 Letters in Mathematical Physics 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Arkiv för Matematik 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Memoirs of the American Mathematical Society 1 Siberian Mathematical Journal 1 Revista Matemática Iberoamericana 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Experimental Mathematics 1 Computational Optimization and Applications 1 Journal of Convex Analysis 1 Bulletin des Sciences Mathématiques 1 Electronic Research Announcements of the American Mathematical Society 1 Izvestiya: Mathematics 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Differential Equations 1 Applied Mathematics E-Notes 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics
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#### Cited in 24 Fields

 56 Partial differential equations (35-XX) 36 Operator theory (47-XX) 34 Quantum theory (81-XX) 9 Mechanics of deformable solids (74-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Potential theory (31-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 3 Number theory (11-XX) 3 Optics, electromagnetic theory (78-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX)