Lech ZIELINSKI
- Professeur au LMPA
- Équipe : Équations aux dérivées partielles, Modéles aléatoires et Approximation (EMA)
- Email : Lech.Zielinski@univ-littoral.fr
- Laboratoire de Mathématiques Pure et Appliquées
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue Ferdinand Buisson
CS 80699
62228 CALAIS Cedex France - Bureau : B112
- Téléphone : +33 3 21 46 55 82
- Adresse :
38 publications 
- Perturbation series for Jacobi matrices and the quantum Rabi model ( ), In Opuscula Math., volume 41, 2021.
- Oscillatory Behavior of Large Eigenvalues in Quantum Rabi Models ( ), In International Mathematics Research Notices, volume 2021, 2019. [hal-lmpa]
- Asymptotic expansion of large eigenvalues for a class of unbounded Jacobi matrices ( ), In Opuscula Math., volume 40, 2020.
- The short pulse equation by a Riemann-Hilbert approach ( ), In Lett. Math. Phys., volume 107, 2017.
- Asymptotic behavior of large eigenvalues of Jaynes-Cummings type models ( ), In J. Spectr. Theory, volume 7, 2017.
- The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation ( ), In Opuscula Math., volume 37, 2017.
- A Riemann-Hilbert approach for the Novikov equation ( ), In SIGMA Symmetry Integrability Geom. Methods Appl., volume 12, 2016.
- Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation ( ), In J. Nonlinear Math. Phys., volume 22, 2015.
- Asymptotic behavior of large eigenvalues of a modified Jaynes-Cummings model ( ), Chapter in Spectral theory and differential equations, Amer. Math. Soc., Providence, RI, volume 233, 2014.
- Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices ( ), In Cent. Eur. J. Math., volume 12, 2014.
- Asymptotics of large eigenvalues for a class of band matrices ( ), In Rev. Math. Phys., volume 25, 2013.
- Explicit error estimates for eigenvalues of some unbounded Jacobi matrices ( ), Chapter in Spectral theory, mathematical system theory, evolution equations, differential and difference equations, Birkhäuser/Springer Basel AG, Basel, volume 221, 2012.
- The short-wave model for the Camassa-Holm equation: a Riemann-Hilbert approach ( ), In Inverse Problems, volume 27, 2011.
- Eigenvalue asymptotics for a class of Jacobi matrices ( ), Chapter in Hot topics in operator theory, Theta, Bucharest, volume 9, 2008.
- Sharp semiclassical estimates for the number of eigenvalues below a totally degenerate critical level ( ), In J. Funct. Anal., volume 248, 2007.
- Sharp semiclassical estimates for the number of eigenvalues below a degenerate critical level ( ), In Asymptot. Anal., volume 53, 2007.
- Semiclassical Weyl formula for a class of weakly regular elliptic operators ( ), In Math. Phys. Anal. Geom., volume 9, 2006.
- Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients. II. Critical case ( ), Chapter in Operator theory 20, Theta, Bucharest, volume 6, 2006.
- Semiclassical Weyl formula for elliptic operators with non-smooth coefficients ( ), Chapter in Recent advances in operator theory, operator algebras, and their applications, Birkhäuser, Basel, volume 153, 2005.
- Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients. I. Non-critical case ( ), In Colloq. Math., volume 99, 2004.
- On the spectral properties of Hamiltonians without conservation of the particle number ( ), In J. Math. Phys., volume 43, 2002.
- Asymptotic distribution of eigenvalues for a class of second-order elliptic operators with irregular coefficients in $\Bbb R^d$ ( ), In Math. Phys. Anal. Geom., volume 5, 2002.
- Sharp spectral asymptotics and Weyl formula for elliptic operators with non-smooth coefficients. II ( ), In Colloq. Math., volume 92, 2002.
- Charge transfer scattering in a constant electric field ( ), In Colloq. Math., volume 79, 1999.
- Sharp spectral asymptotics and Weyl formula for elliptic operators with non-smooth coefficients ( ), In Math. Phys. Anal. Geom., volume 2, 1999.
- Asymptotic distribution of eigenvalues for some elliptic operators with intermediate remainder estimate ( ), In Asymptot. Anal., volume 17, 1998.
- Asymptotic distribution of eigenvalues for some elliptic operators with simple remainder estimates ( ), In J. Operator Theory, volume 39, 1998.
- Asymptotic distribution of eigenvalues for elliptic boundary value problems ( ), In Asymptot. Anal., volume 16, 1998.
- Dispersive charge transfer model with long-range quantum interactions ( ), In J. Math. Anal. Appl., volume 217, 1998.
- Scattering for a dispersive charge transfer model ( ), In Ann. Inst. H. Poincaré Phys. Théor., volume 67, 1997.
- Erratum: "Wave operators of Deift-Simon type for a class of Schrödinger evolutions. I" ( ), In Mat. Fiz. Anal. Geom., volume 4, 1997.
- Asymptotic completeness for multiparticle dispersive charge transfer models ( ), In J. Funct. Anal., volume 150, 1997.
- Wave operators of Deift-Simon type for a class of Schrödinger evolutions. I ( ), In Mat. Fiz. Anal. Geom., volume 3, 1996.
- A proof of asymptotic completeness for $N$-body Schrödinger operators ( ), In Comm. Partial Differential Equations, volume 19, 1994.
- Complétude asymptotique pour un modèle du transfert de charge ( ), In Ann. Inst. H. Poincaré Phys. Théor., volume 58, 1993.
- Une estimation de propagation avec applications en théorie de Schrödinger des systèmes quantiques ( ), In C. R. Acad. Sci. Paris Sér. I Math., volume 315, 1992.
- Complétude asymptotique pour un modèle du transfert de charge ( ), In C. R. Acad. Sci. Paris Sér. I Math., volume 313, 1991.
- Comportement asymptotique des valeurs propres d'opérateurs différentiels à coefficients irréguliers sur une variété compacte ( ), In C. R. Acad. Sci. Paris Sér. I Math., volume 310, 1990.