Edit Profile (opens in new tab) Zielinski, Lech Co-Author Distance Author ID: zielinski.lech Published as: Zielinski, Lech; Zieliński, Lech Documents Indexed: 41 Publications since 1990 Co-Authors: 8 Co-Authors with 17 Joint Publications 150 Co-Co-Authors all top 5 Co-Authors 23 single-authored 12 Boutet de Monvel, Anne Marie 5 Shepelsky, Dmitry 2 Charif, Mirna 1 Fino, Ahmad Z. 1 Harrat, Ayoub 1 Janas, Jan 1 Kamvissis, Spyridon 1 Sigal, Israel Michael 1 Soffer, Avraham 1 Zerouali, El Hassan all top 5 Serials 4 Asymptotic Analysis 3 Colloquium Mathematicum 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Opuscula Mathematica 3 Mathematical Physics, Analysis and Geometry 2 Journal of Functional Analysis 2 Annales de l’Institut Henri Poincaré. Physique Théorique 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Operator Theory 1 IMRN. International Mathematics Research Notices 1 Communications in Partial Differential Equations 1 Matematicheskaya Fizika, Analiz, Geometriya 1 Journal of Nonlinear Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Spectral Theory all top 5 Fields 31 Partial differential equations (35-XX) 18 Operator theory (47-XX) 17 Quantum theory (81-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Sequences, series, summability (40-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 181 times in 114 Documents Cited by ▼ Year ▼ The short pulse equation by a Riemann-Hilbert approach. Zbl 1370.35238 Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech 34 2017 The short-wave model for the Camassa-Holm equation: a Riemann-Hilbert approach. Zbl 1229.35239 Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech 25 2011 A Riemann-Hilbert approach for the Novikov equation. Zbl 1346.35177 Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech 15 2016 Asymptotic distribution of eigenvalues for elliptic boundary value problems. Zbl 0945.35068 Zielinski, Lech 9 1998 A proof of asymptotic completeness for \(N\)-body Schrödinger operators. Zbl 0812.35118 Zielinski, Lech 9 1994 Sharp spectral asymptotics and Weyl formula for elliptic operators with non-smooth coefficients. Zbl 0952.35084 Zielinski, Lech 8 1999 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060 Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation. Zbl 1358.35161 Shepelsky, Dmitry; Zielinski, Lech 7 2017 Asymptotic completeness for multiparticle dispersive charge transfer models. Zbl 0891.35134 Zielinski, Lech 5 1997 Sharp spectral asymptotics and Weyl formula for elliptic operators with non-smooth coefficients. II. Zbl 1002.35092 Zielinski, Lech 5 2002 Scattering for a dispersive charge transfer model. Zbl 0887.35110 Zielinski, Lech 5 1997 Asymptotic behavior of large eigenvalues of Jaynes-Cummings type models. Zbl 1367.47036 De Monvel, Anne Boutet; Zielinski, Lech 5 2017 Oscillatory behavior of large eigenvalues in quantum Rabi models. Zbl 07381617 Boutet de Monvel, Anne; Zielinski, Lech 5 2021 Asymptotic distribution of eigenvalues for some elliptic operators with intermediate remainder estimate. Zbl 0936.35122 Zielinski, Lech 4 1998 Eigenvalue asymptotics for a class of Jacobi matrices. Zbl 1199.47142 Zielinski, Lech 4 2008 Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation. Zbl 1420.35364 Kamvissis, Spyridon; Shepelsky, Dmitry; Zielinski, Lech 4 2015 Sharp semiclassical estimates for the number of eigenvalues below a degenerate critical level. Zbl 1148.35058 Zielinski, Lech 3 2007 Asymptotic distribution of eigenvalues for some elliptic operators with simple remainder estimates. Zbl 0991.35056 Zielinski, Lech 3 1998 Semiclassical Weyl formula for elliptic operators with non-smooth coefficients. Zbl 1083.35081 Zielinski, Lech 3 2005 Wave operators of Deift-Simon type for a class of Schrödinger evolutions. I. Zbl 0870.35077 Zielinski, Lech 3 1996 Asymptotic completeness of a charge transfer model. (Complétude asymptotique pour un modèle du transfert de charge.) Zbl 0791.35114 Zielinski, Lech 3 1993 Asymptotic behavior of large eigenvalues of a modified Jaynes-Cummings model. Zbl 1320.47032 Boutet de Monvel, Anne; Zielinski, Lech 3 2014 On the spectrum of the quantum Rabi model. Zbl 1446.81044 De Monvel, Anne Boutet; Zielinski, Lech 3 2020 Asymptotics of large eigenvalues for a class of band matrices. Zbl 1294.47046 Boutet de Monvel, Anne; Janas, Jan; Zielinski, Lech 3 2013 Explicit error estimates for eigenvalues of some unbounded Jacobi matrices. Zbl 1282.47044 Boutet de Monvel, Anne; Zielinski, Lech 3 2012 Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part I: non-critical case. Zbl 1199.35267 Zieliński, Lech 2 2004 Semiclassical Weyl formula for a class of weakly regular elliptic operators. Zbl 1105.35065 Zielinski, Lech 2 2006 Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices. Zbl 1422.47031 De Monvel, Anne Boutet; Zielinski, Lech 2 2014 Sharp semiclassical estimates for the number of eigenvalues below a totally degenerate critical level. Zbl 1131.35052 Zielinski, Lech 1 2007 Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients. II: Critical case. Zbl 1199.35268 Zielinski, Lech 1 2006 Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices. Zbl 1443.47037 Harrat, Ayoub; Zerouali, El Hassan; Zielinski, Lech 1 2020 Asymptotic behavior of large eigenvalues of the two-photon Rabi model. Zbl 1471.81118 De Monvel, Anne Boutet; Zielinski, Lech 1 2021 Oscillatory behavior of large eigenvalues in quantum Rabi models. Zbl 07381617 Boutet de Monvel, Anne; Zielinski, Lech 5 2021 Asymptotic behavior of large eigenvalues of the two-photon Rabi model. Zbl 1471.81118 De Monvel, Anne Boutet; Zielinski, Lech 1 2021 On the spectrum of the quantum Rabi model. Zbl 1446.81044 De Monvel, Anne Boutet; Zielinski, Lech 3 2020 Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices. Zbl 1443.47037 Harrat, Ayoub; Zerouali, El Hassan; Zielinski, Lech 1 2020 The short pulse equation by a Riemann-Hilbert approach. Zbl 1370.35238 Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech 34 2017 The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation. Zbl 1358.35161 Shepelsky, Dmitry; Zielinski, Lech 7 2017 Asymptotic behavior of large eigenvalues of Jaynes-Cummings type models. Zbl 1367.47036 De Monvel, Anne Boutet; Zielinski, Lech 5 2017 A Riemann-Hilbert approach for the Novikov equation. Zbl 1346.35177 Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech 15 2016 Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation. Zbl 1420.35364 Kamvissis, Spyridon; Shepelsky, Dmitry; Zielinski, Lech 4 2015 Asymptotic behavior of large eigenvalues of a modified Jaynes-Cummings model. Zbl 1320.47032 Boutet de Monvel, Anne; Zielinski, Lech 3 2014 Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices. Zbl 1422.47031 De Monvel, Anne Boutet; Zielinski, Lech 2 2014 Asymptotics of large eigenvalues for a class of band matrices. Zbl 1294.47046 Boutet de Monvel, Anne; Janas, Jan; Zielinski, Lech 3 2013 Explicit error estimates for eigenvalues of some unbounded Jacobi matrices. Zbl 1282.47044 Boutet de Monvel, Anne; Zielinski, Lech 3 2012 The short-wave model for the Camassa-Holm equation: a Riemann-Hilbert approach. Zbl 1229.35239 Boutet de Monvel, Anne; Shepelsky, Dmitry; Zielinski, Lech 25 2011 Eigenvalue asymptotics for a class of Jacobi matrices. Zbl 1199.47142 Zielinski, Lech 4 2008 Sharp semiclassical estimates for the number of eigenvalues below a degenerate critical level. Zbl 1148.35058 Zielinski, Lech 3 2007 Sharp semiclassical estimates for the number of eigenvalues below a totally degenerate critical level. Zbl 1131.35052 Zielinski, Lech 1 2007 Semiclassical Weyl formula for a class of weakly regular elliptic operators. Zbl 1105.35065 Zielinski, Lech 2 2006 Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients. II: Critical case. Zbl 1199.35268 Zielinski, Lech 1 2006 Semiclassical Weyl formula for elliptic operators with non-smooth coefficients. Zbl 1083.35081 Zielinski, Lech 3 2005 Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients, part I: non-critical case. Zbl 1199.35267 Zieliński, Lech 2 2004 On the spectral properties of Hamiltonians without conservation of the particle number. Zbl 1059.81060 Sigal, I. M.; Soffer, A.; Zielinski, L. 7 2002 Sharp spectral asymptotics and Weyl formula for elliptic operators with non-smooth coefficients. II. Zbl 1002.35092 Zielinski, Lech 5 2002 Sharp spectral asymptotics and Weyl formula for elliptic operators with non-smooth coefficients. Zbl 0952.35084 Zielinski, Lech 8 1999 Asymptotic distribution of eigenvalues for elliptic boundary value problems. Zbl 0945.35068 Zielinski, Lech 9 1998 Asymptotic distribution of eigenvalues for some elliptic operators with intermediate remainder estimate. Zbl 0936.35122 Zielinski, Lech 4 1998 Asymptotic distribution of eigenvalues for some elliptic operators with simple remainder estimates. Zbl 0991.35056 Zielinski, Lech 3 1998 Asymptotic completeness for multiparticle dispersive charge transfer models. Zbl 0891.35134 Zielinski, Lech 5 1997 Scattering for a dispersive charge transfer model. Zbl 0887.35110 Zielinski, Lech 5 1997 Wave operators of Deift-Simon type for a class of Schrödinger evolutions. I. Zbl 0870.35077 Zielinski, Lech 3 1996 A proof of asymptotic completeness for \(N\)-body Schrödinger operators. Zbl 0812.35118 Zielinski, Lech 9 1994 Asymptotic completeness of a charge transfer model. (Complétude asymptotique pour un modèle du transfert de charge.) Zbl 0791.35114 Zielinski, Lech 3 1993 all cited Publications top 5 cited Publications all top 5 Cited by 128 Authors 14 Zielinski, Lech 10 Geng, Xianguo 9 Boutet de Monvel, Anne Marie 8 Liu, Nan 7 Fan, Engui 7 Guo, Boling 7 Wang, Kedong 6 Chen, Mingming 5 Hu, Beibei 5 Shepelsky, Dmitry 5 Tian, Shoufu 4 Adachi, Tadayoshi 4 Li, Zhiqiang 4 Xia, Tie-Cheng 4 Yang, Jinjie 3 Deng, Qingquan 3 He, Jingsong 3 Karpenko, Iryna 3 Liu, Wenhao 3 Lv, Cong 3 Ma, Wen-Xiu 3 Malejki, Maria 3 Prinari, Barbara 3 Reyes-Bustos, Cid 3 Yao, Xiaohua 2 Charif, Mirna 2 Chen, Yong 2 Dong, Huanhe 2 Dybalski, Wojciech 2 Feng, Baofeng 2 Gérard, Christian 2 Gkogkou, Aikaterini 2 Ivrii, Victor Ja. 2 Li, Ruomeng 2 Miyazaki, Yoichi 2 Sakhnovich, Alexander L. 2 Sigal, Israel Michael 2 Soffer, Avraham 2 Wakayama, Masato 2 Wang, Yufeng 2 Xu, Jian 2 Yan, Xuewei 2 Zhang, Ning 2 Zhang, Yong 1 Aletti, Matteo C. 1 Biondini, Gino 1 Braeutigam, Irina N. 1 Bronstein, Mikhail 1 Cacciapuoti, Claudio 1 Caudrelier, Vincent 1 Cheng, Yi 1 Fagerstrom, Emily 1 Finco, Domenico 1 Fino, Ahmad Z. 1 Girouard, Alexandre 1 Harrat, Ayoub 1 Holzmann, Markus 1 Hwang, Guenbo 1 Janas, Jan 1 Ju, Luman 1 Kaiser, Hans-Christoph 1 Karpukhin, Mikhail A. 1 Kimoto, Kazufumi 1 Kotlyarov, Vladimir P. 1 Levitin, Michael R. 1 Li, Nianhua 1 Liu, Huan 1 Liu, Qingping 1 Liu, Shuzhi 1 Liu, Wei 1 Liu, Yaqing 1 Lundmark, Hans 1 Mao, Hui 1 Matsuo, Takayasu 1 Miao, Yuanyuan 1 Mikkelsen, Søren 1 Møller, Jacob Schach 1 Moon, Byungsoo 1 Naboko, Serguei N. 1 Neidhardt, Hagen 1 Netrusov, Yuri 1 Noja, Diego 1 Oguma, Kazuhito 1 Ourmiéres-Bonafos, Thomas 1 Pankrashkin, Konstantin 1 Peng, Weiqi 1 Perotto, Simona 1 Petropoulou, Eugenia N. 1 Polterovich, Iosif 1 Polyakov, Dmitriĭ Mikhaĭlovich 1 Qiu, Deqin 1 Rao, Jiguang 1 Rehberg, Joachim 1 Safarov, Yuri G. 1 Sanchez Sanchez, Yafet 1 Sato, Shun 1 Schrohe, Elmar 1 Shen, Shoufeng 1 Szmigielski, Jacek 1 Tamura, Hideo ...and 28 more Authors all top 5 Cited in 55 Serials 10 Journal of Differential Equations 7 Communications in Mathematical Physics 7 Physica D 5 Journal of Mathematical Analysis and Applications 5 Journal of Functional Analysis 4 Journal of Mathematical Physics 4 Opuscula Mathematica 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Geometry and Physics 3 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Integral Equations and Operator Theory 2 Journal of Computational and Applied Mathematics 2 Studies in Applied Mathematics 2 Communications in Partial Differential Equations 2 Annales Henri Poincaré 2 Journal of Nonlinear Mathematical Physics 2 Nonlinear Analysis. Real World Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Central European Journal of Mathematics 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Communications in Theoretical Physics 1 Applicable Analysis 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Applied Mathematics and Computation 1 Duke Mathematical Journal 1 Indiana University Mathematics Journal 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Journal of Scientific Computing 1 IMRN. International Mathematics Research Notices 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Discrete and Continuous Dynamical Systems 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Analysis and Applications (Singapore) 1 Journal of Mathematical Physics, Analysis, Geometry 1 Complex Variables and Elliptic Equations 1 Mathematical Modelling of Natural Phenomena 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Journal of Pseudo-Differential Operators and Applications 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics all top 5 Cited in 29 Fields 97 Partial differential equations (35-XX) 42 Dynamical systems and ergodic theory (37-XX) 28 Quantum theory (81-XX) 22 Operator theory (47-XX) 13 Optics, electromagnetic theory (78-XX) 11 Approximations and expansions (41-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 Functions of a complex variable (30-XX) 2 Sequences, series, summability (40-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) Citations by Year