## Parnovski, Leonid

Compute Distance To:
 Author ID: parnovski.leonid Published as: Parnovski, Leonid; Parnovski, L.; Parnovski, L. B. more...less External Links: MGP
 Documents Indexed: 39 Publications since 1995 Co-Authors: 23 Co-Authors with 32 Joint Publications 380 Co-Co-Authors
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### Co-Authors

 6 single-authored 9 Shterenberg, Roman G. 8 Levitin, Michael R. 5 Polterovich, Iosif 4 Sobolev, Alexander V. 3 Sher, David A. 2 Kachkovskiy, Ilya V. 2 Krymski, Stanislav 2 Morozov, Sergey 1 Artemev, Andrei 1 Barbatis, Gerassimos 1 Benguria, Rafael D. 1 Davies, Edward Brian 1 Exner, Pavel 1 Girouard, Alexandre 1 Hawkins, Helen 1 Hill, Richard Michael 1 Johnson, Edward Robert 1 Karpeshina, Yulia E. 1 Khallaf, N. S. A. 1 Lagacé, Jean 1 Minakov, Alexander 1 Pchelintseva, Irina Yur’evna 1 Sidorova, Nadia
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### Serials

 3 Journal of Functional Analysis 3 Annales Henri Poincaré 2 Journal of Mathematical Physics 2 Quarterly Journal of Mechanics and Applied Mathematics 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Mathematische Nachrichten 1 Communications in Mathematical Physics 1 Inverse Problems 1 Journal d’Analyse Mathématique 1 Journal of Fluid Mechanics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Advances in Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Annalen 1 Mathematika 1 International Journal of Mathematics 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Russian Journal of Mathematical Physics 1 Annals of Mathematics. Second Series 1 Portugaliae Mathematica. Nova Série 1 Mathematical Modelling of Natural Phenomena 1 Journal of Spectral Theory
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### Fields

 30 Partial differential equations (35-XX) 11 Operator theory (47-XX) 11 Quantum theory (81-XX) 7 Global analysis, analysis on manifolds (58-XX) 4 Number theory (11-XX) 4 Fluid mechanics (76-XX) 3 Ordinary differential equations (34-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

32 Publications have been cited 399 times in 274 Documents Cited by Year
Complex resonances in acoustic waveguides. Zbl 0972.76091
Aslanyan, A.; Parnovski, L.; Vassiliev, D.
2000
On the principal eigenvalue of a Robin problem with a large parameter. Zbl 1136.35060
Levitin, Michael; Parnovski, Leonid
2008
Trapped modes in acoustic waveguides. Zbl 0908.76083
Davies, E. B.; Parnovski, L.
1998
Bethe-Sommerfeld conjecture. Zbl 1201.81054
Parnovski, Leonid
2008
Commutators, spectral trace identities, and universal estimates for eigenvalues. Zbl 1058.47022
Levitin, Michael; Parnovski, Leonid
2002
Bethe-Sommerfeld conjecture for periodic operators with strong perturbations. Zbl 1200.47067
Parnovski, Leonid; Sobolev, Alexander V.
2010
On the Bethe-Sommerfeld conjecture for the polyharmonic operator. Zbl 1092.35025
Parnovski, Leonid; Sobolev, Alexander V.
2001
Asymptotic eigenvalue estimates for a Robin problem with a large parameter. Zbl 1295.35346
Exner, Pavel; Minakov, Alexander; Parnovski, Leonid
2014
The Steklov spectrum of surfaces: asymptotics and invariants. Zbl 1317.58032
Girouard, Alexandre; Parnovski, Leonid; Polterovich, Iosif; Sher, David A.
2014
Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators. Zbl 1260.35027
Parnovski, Leonid; Shterenberg, Roman
2012
Lattice points, perturbation theory and the periodic polyharmonic operator. Zbl 1162.35434
Parnovski, Leonid; Sobolev, Alexander V.
2001
Spectral asymptotics of the Laplace operator on manifolds with cylindrical ends. Zbl 0842.58074
Parnovski, L. B.
1995
Isospectral domains with mixed boundary conditions. Zbl 1089.58021
Levitin, Michael; Parnovski, Leonid; Polterovich, Iosif
2006
Existence of eigenvalues of a linear operator pencil in a curved waveguide – localized shelf waves on a curved coast. Zbl 1141.76014
Johnson, E. R.; Levitin, Michael; Parnovski, Leonid
2006
Bethe-Sommerfeld conjecture for pseudodifferential perturbation. Zbl 1185.35349
Barbatis, G.; Parnovski, L.
2009
The variance of the hyperbolic lattice point counting function. Zbl 1201.11071
Hill, Richard M.; Parnovski, Leonid
2005
Asymptotic expansion of the integrated density of states of a two-dimensional periodic Schrödinger operator. Zbl 1171.35092
Parnovski, Leonid; Shterenberg, Roman
2009
Trapped modes in a waveguide with a long obstacle. Zbl 0957.76078
Khallaf, N. S. A.; Parnovski, L.; Vassiliev, D.
2000
Spectral asymptotics of Laplace operators on surfaces with cusps. Zbl 0849.35093
Parnovski, L. B.
1995
Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic pseudo-differential operators. Zbl 1319.35317
Morozov, Sergey; Parnovski, Leonid; Shterenberg, Roman
2014
Scattering matrix for manifolds with conical ends. Zbl 0980.58019
Parnovski, L.
2000
Fourier transform, null variety, and Laplacian’s eigenvalues. Zbl 1182.35172
Benguria, Rafael; Levitin, Michael; Parnovski, Leonid
2009
Critical dimensions for counting lattice points in Euclidean annuli. Zbl 1252.11076
Parnovski, L.; Sidorova, N.
2010
A generalised Gauss circle problem and integrated density of states. Zbl 1423.35091
Lagacé, Jean; Parnovski, Leonid
2016
Lower bound on the density of states for periodic Schrödinger operators. Zbl 1217.35052
Morozov, Sergey; Parnovski, Leonid; Pchelintseva, Irina
2010
Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrödinger operators. Zbl 1337.35104
Parnovski, Leonid; Shterenberg, Roman
2016
Asymptotics of Dirichlet spectrum on some class of noncompact domains. Zbl 0829.35089
Parnovski, L. B.
1995
Perturbation theory for almost-periodic potentials. I: One-dimensional case. Zbl 1415.34131
Parnovski, Leonid; Shterenberg, Roman
2019
Inverse Steklov spectral problem for curvilinear polygons. Zbl 1471.65187
Krymski, Stanislav; Levitin, Michael; Parnovski, Leonid; Polterovich, Iosif; Sher, David A.
2021
Perturbation theory for spectral gap edges of 2D periodic Schrödinger operators. Zbl 1386.35308
Parnovski, Leonid; Shterenberg, Roman
2017
Trapped modes in a waveguide with a thick obstacle. Zbl 1180.35184
Hawkins, Helen; Parnovski, Leonid
2004
Inverse electrostatic and elasticity problems for checkered distributions. Zbl 1288.78007
Artemev, Andrei; Parnovski, Leonid; Polterovich, Iosif
2013
Inverse Steklov spectral problem for curvilinear polygons. Zbl 1471.65187
Krymski, Stanislav; Levitin, Michael; Parnovski, Leonid; Polterovich, Iosif; Sher, David A.
2021
Perturbation theory for almost-periodic potentials. I: One-dimensional case. Zbl 1415.34131
Parnovski, Leonid; Shterenberg, Roman
2019
Perturbation theory for spectral gap edges of 2D periodic Schrödinger operators. Zbl 1386.35308
Parnovski, Leonid; Shterenberg, Roman
2017
A generalised Gauss circle problem and integrated density of states. Zbl 1423.35091
Lagacé, Jean; Parnovski, Leonid
2016
Complete asymptotic expansion of the spectral function of multidimensional almost-periodic Schrödinger operators. Zbl 1337.35104
Parnovski, Leonid; Shterenberg, Roman
2016
Asymptotic eigenvalue estimates for a Robin problem with a large parameter. Zbl 1295.35346
Exner, Pavel; Minakov, Alexander; Parnovski, Leonid
2014
The Steklov spectrum of surfaces: asymptotics and invariants. Zbl 1317.58032
Girouard, Alexandre; Parnovski, Leonid; Polterovich, Iosif; Sher, David A.
2014
Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic pseudo-differential operators. Zbl 1319.35317
Morozov, Sergey; Parnovski, Leonid; Shterenberg, Roman
2014
Inverse electrostatic and elasticity problems for checkered distributions. Zbl 1288.78007
Artemev, Andrei; Parnovski, Leonid; Polterovich, Iosif
2013
Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators. Zbl 1260.35027
Parnovski, Leonid; Shterenberg, Roman
2012
Bethe-Sommerfeld conjecture for periodic operators with strong perturbations. Zbl 1200.47067
Parnovski, Leonid; Sobolev, Alexander V.
2010
Critical dimensions for counting lattice points in Euclidean annuli. Zbl 1252.11076
Parnovski, L.; Sidorova, N.
2010
Lower bound on the density of states for periodic Schrödinger operators. Zbl 1217.35052
Morozov, Sergey; Parnovski, Leonid; Pchelintseva, Irina
2010
Bethe-Sommerfeld conjecture for pseudodifferential perturbation. Zbl 1185.35349
Barbatis, G.; Parnovski, L.
2009
Asymptotic expansion of the integrated density of states of a two-dimensional periodic Schrödinger operator. Zbl 1171.35092
Parnovski, Leonid; Shterenberg, Roman
2009
Fourier transform, null variety, and Laplacian’s eigenvalues. Zbl 1182.35172
Benguria, Rafael; Levitin, Michael; Parnovski, Leonid
2009
On the principal eigenvalue of a Robin problem with a large parameter. Zbl 1136.35060
Levitin, Michael; Parnovski, Leonid
2008
Bethe-Sommerfeld conjecture. Zbl 1201.81054
Parnovski, Leonid
2008
Isospectral domains with mixed boundary conditions. Zbl 1089.58021
Levitin, Michael; Parnovski, Leonid; Polterovich, Iosif
2006
Existence of eigenvalues of a linear operator pencil in a curved waveguide – localized shelf waves on a curved coast. Zbl 1141.76014
Johnson, E. R.; Levitin, Michael; Parnovski, Leonid
2006
The variance of the hyperbolic lattice point counting function. Zbl 1201.11071
Hill, Richard M.; Parnovski, Leonid
2005
Trapped modes in a waveguide with a thick obstacle. Zbl 1180.35184
Hawkins, Helen; Parnovski, Leonid
2004
Commutators, spectral trace identities, and universal estimates for eigenvalues. Zbl 1058.47022
Levitin, Michael; Parnovski, Leonid
2002
On the Bethe-Sommerfeld conjecture for the polyharmonic operator. Zbl 1092.35025
Parnovski, Leonid; Sobolev, Alexander V.
2001
Lattice points, perturbation theory and the periodic polyharmonic operator. Zbl 1162.35434
Parnovski, Leonid; Sobolev, Alexander V.
2001
Complex resonances in acoustic waveguides. Zbl 0972.76091
Aslanyan, A.; Parnovski, L.; Vassiliev, D.
2000
Trapped modes in a waveguide with a long obstacle. Zbl 0957.76078
Khallaf, N. S. A.; Parnovski, L.; Vassiliev, D.
2000
Scattering matrix for manifolds with conical ends. Zbl 0980.58019
Parnovski, L.
2000
Trapped modes in acoustic waveguides. Zbl 0908.76083
Davies, E. B.; Parnovski, L.
1998
Spectral asymptotics of the Laplace operator on manifolds with cylindrical ends. Zbl 0842.58074
Parnovski, L. B.
1995
Spectral asymptotics of Laplace operators on surfaces with cusps. Zbl 0849.35093
Parnovski, L. B.
1995
Asymptotics of Dirichlet spectrum on some class of noncompact domains. Zbl 0829.35089
Parnovski, L. B.
1995
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### Cited by 304 Authors

 19 Nazarov, Sergeĭ Aleksandrovich 10 Pankrashkin, Konstantin 10 Parnovski, Leonid 9 Borisov, Denis Ivanovich 8 Shterenberg, Roman G. 7 Exner, Pavel 7 Helffer, Bernard 7 Kachmar, Ayman 6 Girouard, Alexandre 6 Harrell, Evans M. II 6 Karpeshina, Yulia E. 5 Cheng, Qingming 5 Christiansen, Tanya J. 5 Krejčiřík, David 5 Pagneux, Vincent 5 Sobolev, Alexander V. 5 Travaglini, Giancarlo 4 Bambusi, Dario 4 Brandolini, Luca 4 Colbois, Bruno 4 Fillman, Jake 4 Gigante, Giacomo 4 Johnson, Edward Robert 4 Langella, Beatrice 4 Lotoreichik, Vladimir 4 Polterovich, Iosif 4 Popoff, Nicolas 4 Popov, Igor’ Yur’evich 4 Sun, Hejun 4 Wang, Qiaoling 4 Xia, Changyu 3 Blinova, Irina V. 3 Bonnaillie-Noël, Virginie 3 Cardone, Giuseppe 3 Chatzakos, Dimitrios 3 Chesnel, Lucas 3 Colzani, Leonardo 3 Du, Feng 3 Freitas, Pedro 3 Galkowski, Jeffrey 3 Hein, Stefan 3 Hermi, Lotfi 3 Ilias, Saïd 3 Kalvin, Victor 3 Kaoullas, George 3 Kennedy, James Bernard 3 Khalile, Magda 3 Kim, Seungil 3 Koch, Werner 3 Kovařík, Hynek 3 Lagacé, Jean 3 Levitin, Michael R. 3 Montalto, Riccardo 3 Najar, Hatem 3 Ratcliffe, K. 3 Raymond, Nicolas 3 Skriganov, Maxim M. 3 Zeng, Lingzhong 2 Bonnet-Ben Dhia, Anne-Sophie 2 Chen, William Wai Lim 2 Craster, Richard V. 2 Damanik, David 2 El Aidi, Mohammed 2 El Soufi, Ahmad 2 Gariboldi, Bianca 2 Gorodetskii, Anton Semenovich 2 Han, Rui 2 Hassannezhad, Asma 2 Ichikawa, Takamichi 2 Isozaki, Hiroshi 2 Jost, Jürgen 2 Karpukhin, Mikhail A. 2 Kuchment, Peter A. 2 Lang, Robin 2 Laptev, Ari 2 Lee, Young-Ran 2 Li-Jost, Xianqing 2 Makhoul, Ola 2 Mametsuka, Shinji 2 McIver, Maureen 2 McIver, Philip 2 Nannen, Lothar 2 Nasrallah, Marwa 2 Pavlov, Boris Sergeevich 2 Petridis, Yiannis N. 2 Rodney, J. T. 2 Ruotsalainen, Keijo Matti 2 Savo, Alessandro 2 Sher, David A. 2 Shi, Yunfeng 2 Strohmaier, Alexander 2 Toth, John Andrew 2 Waters, Alden 2 Yang, Hongcang 2 Zhevandrov, Peter N. 1 Adamou, Alexander T. I. 1 Adriano, Levi Rosa 1 Alsina, Montserrat 1 Ammari, Habib M. 1 Ammari, Kais ...and 204 more Authors
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### Cited in 118 Serials

 12 Communications in Partial Differential Equations 11 Journal of Mathematical Physics 10 Journal of Mathematical Analysis and Applications 9 Journal of Fluid Mechanics 9 Journal of Functional Analysis 8 Communications in Mathematical Physics 8 Wave Motion 8 Transactions of the American Mathematical Society 8 The Journal of Geometric Analysis 7 Journal of Spectral Theory 6 Journal of Differential Equations 6 Journal of Mathematical Sciences (New York) 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Proceedings of the American Mathematical Society 4 Journal d’Analyse Mathématique 4 Mathematika 4 Communications in Contemporary Mathematics 4 Annales Henri Poincaré 4 Analysis and Mathematical Physics 3 Journal of Computational Physics 3 Reviews in Mathematical Physics 3 Advances in Mathematics 3 Journal of Computational and Applied Mathematics 3 Manuscripta Mathematica 3 Revista Matemática Iberoamericana 3 SIAM Journal on Applied Mathematics 3 Calculus of Variations and Partial Differential Equations 3 Russian Journal of Mathematical Physics 3 St. Petersburg Mathematical Journal 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Applied Mathematics and Mechanics 2 Journal of Engineering Mathematics 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Reports on Mathematical Physics 2 Theoretical and Mathematical Physics 2 Inventiones Mathematicae 2 Journal of Number Theory 2 Mathematische Nachrichten 2 Asymptotic Analysis 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Nonlinear Science 2 Experimental Mathematics 2 The Journal of Fourier Analysis and Applications 2 Mathematical Physics, Analysis and Geometry 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Applicable Analysis 1 Mathematical Methods in the Applied Sciences 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Arkiv för Matematik 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Functional Analysis and its Applications 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Bulletin of the Korean Mathematical Society 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Computational Mathematics and Mathematical Physics 1 Journal of Elasticity 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Potential Analysis 1 Annales Mathématiques Blaise Pascal 1 Journal of the Egyptian Mathematical Society 1 Bulletin des Sciences Mathématiques 1 Doklady Mathematics 1 Journal of Vibration and Control 1 Mathematics and Mechanics of Solids 1 Revista Matemática Complutense 1 Annals of Mathematics. Second Series 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Mathematical Modelling and Analysis 1 Portugaliae Mathematica. Nova Série 1 Communications on Pure and Applied Analysis ...and 18 more Serials
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### Cited in 33 Fields

 197 Partial differential equations (35-XX) 67 Quantum theory (81-XX) 64 Operator theory (47-XX) 57 Global analysis, analysis on manifolds (58-XX) 26 Fluid mechanics (76-XX) 25 Optics, electromagnetic theory (78-XX) 24 Number theory (11-XX) 16 Mechanics of deformable solids (74-XX) 13 Differential geometry (53-XX) 13 Numerical analysis (65-XX) 12 Ordinary differential equations (34-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Functional analysis (46-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 5 Potential theory (31-XX) 5 Convex and discrete geometry (52-XX) 5 Geophysics (86-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Combinatorics (05-XX) 2 $$K$$-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX)