Lech Zielinski
- Grade : Professeur
- Equipe : Analyse
- Adresse : LMPA
Centre Universitaire de la Mi-Voix
50 rue F. Buisson
CS 80699
62228 Calais - Bureau : B112
- Email : Lech.Zielinski@univ-littoral.fr
- Téléphone : 03.21.46.55.82
Publications
Articles de revues
- Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation (), In J. Nonlinear Math. Phys., volume 22, 448-473, 2015.
- Asymptotic behavior of large eigenvalues of a modified Jaynes-Cummings model (), In Amer. Math. Soc. Trans. Series 2, volume 233, 77-93, 2014.
- Approximation of eigenvalues for unbounded Jacobi matrices using finite submatrices (), In Cent. Eur. J. Math., volume 12, 445-463, 2014.
- Asymptotics of large eigenvalues for a class of band matrices (), In Rev. Math. Phys., volume 25, 1350013-23, 2013.
- The short-wave model for the Camassa-Holm equation: a Riemann-Hilbert approach (), In Inverse Problems, volume 27, 10500-6, 2011.
- Sharp semiclassical estimates for the number of eigenvalues below a degenerate critical level (), In Asymptot. Anal., volume 53, 97-123, 2007.
- Sharp semiclassical estimates for the number of eigenvalues below a totally degenerate critical level (), In J. Funct. Anal., volume 248, 259-302, 2007.
- Semiclassical Weyl formula for a class of weakly regular elliptic operators (), In Math. Phys. Anal. Geom., volume 9, 1-21, 2006.
- 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, 145-182, 2002.
- Sharp spectral asymptotics and Weyl formula for elliptic operators with non-smooth coefficients. II (), In Colloq. Math., volume 92, 1-18, 2002.
- On the spectral properties of Hamiltonians without conservation of the particle number (), In J. Math. Phys., volume 43, 1844-1855, 2002.
- Sharp spectral asymptotics and Weyl formula for elliptic operators with non-smooth coefficients (), In Math. Phys. Anal. Geom., volume 2, 291-321, 1999.
- Asymptotic distribution of eigenvalues for some elliptic operators with intermediate remainder estimate (), In Asymptot. Anal., volume 17, 93-120, 1998.
- Asymptotic distribution of eigenvalues for some elliptic operators with simple remainder estimates (), In J. Operator Theory, volume 39, 249-282, 1998.
- Asymptotic distribution of eigenvalues for elliptic boundary value problems (), In Asymptot. Anal., volume 16, 181-201, 1998.
- Dispersive charge transfer model with long-range quantum interactions (), In J. Math. Anal. Appl., volume 217, 43-71, 1998.
- Scattering for a dispersive charge transfer model (), In Ann. Inst. H. Poincaré Phys. Théor., volume 67, 339-386, 1997.
- Erratum: "Wave operators of Deift-Simon type for a class of Schrödinger evolutions. I" (), In Mat. Fiz. Anal. Geom., volume 4, 25-7, 1997.
- Asymptotic completeness for multiparticle dispersive charge transfer models (), In J. Funct. Anal., volume 150, 453-470, 1997.
- Wave operators of Deift-Simon type for a class of Schrödinger evolutions. I (), In Mat. Fiz. Anal. Geom., volume 3, 169-213, 1996.
- A proof of asymptotic completeness for $N$-body Schrödinger operators (), In Comm. Partial Differential Equations, volume 19, 455-522, 1994.
- Complétude asymptotique pour un modèle du transfert de charge (), In Ann. Inst. H. Poincaré Phys. Théor., volume 58, 363-411, 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, 357-362, 1992.
- Complétude asymptotique pour un modèle du transfert de charge (), In C. R. Acad. Sci. Paris Sér. I Math., volume 313, 635-638, 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, 563-568, 1990.
Chapitres de livres
- 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, 77-93, 2014.
- 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, 189-217, 2012.
- Eigenvalue asymptotics for a class of Jacobi matrices (), Chapter in Hot topics in operator theory, Theta, Bucharest, volume 9, 217-229, 2008.
- Semiclassical distribution of eigenvalues for elliptic operators with Hölder continuous coefficients. II. Critical case (), Chapter in Operator theory 20, Theta, Bucharest, volume 6, 261-274, 2006.
- Semiclassical Weyl formula for elliptic operators with non-smooth coefficients (), Chapter in Recent advances in operator theory, operator algebras, and their applications, Birkhäuser, volume 153, 321-344, 2005.
Rapports
- Oscillations of large eigenvalues in Jaynes-Cummings type models (), Technical report 522, LMPA, 2016.
- Robin boundary condition and shock problem for the focusing nonliear Schrödinger equation (), Technical report 512, LMPA, 2014.
- The Riemann-Hilber problem approach to the short puls equation (), Technical report 511, LMPA, 2014.
- Asymptotics of large eigenvalues for a class of band matrices (), Technical report 488, LMPA, 2013.
- Asymptotic behaviour or large eingenvalues Jaynes-Cummings type models n (), Technical report 484, LMPA, 2013.
- Approximation of eigenvalues for unbounded Jacobi matrices using infinite submatrices (), Technical report 468, LMPA, 2012.
- Eigenvalue asymptotics for a class of Jacobi matrices (), Technical report, LMPA, 2007.
- Sharp Semiclassical Estimates of the Number of Eigenvalues Below a Totally Degenerate Critical Level (), Technical report, LMPA, 2005.
- Sharp Semiclassical Estimates of the Number of Eigenvalues Below a Degenerate Critical Level (), Technical report, LMPA, 2005.
- Semiclassical Weyl Formula for a Class of Weakly Regular Elliptic Operators (), Technical report, LMPA, 2004.
- Semiclassical Distribution of Eigenvalues for Elliptic Operators with Hölder Continuous Coefficients, Part II : Critical Case (), Technical report, LMPA, 2004.
- Semiclassical Distribution of Eigenvalues for Elliptic Operators with Hölder Continuous Coefficients, Part I : Non-critical Case (), Technical report, LMPA, 2003.
- Semiclassical Weyl Formula for Elliptic Operators with Non-smooth Coefficients (), Technical report, LMPA, 2003.
- Weyl Formula for a Class of Schrödinger Operators with Discrete Spectrum (), Technical report, LMPA, 2001.
- On the Spectral properties of Hamiltonians without conservation of the particle numbers (), Technical report, LMPA, 2000.
- Sharp Spectral Asymptotics and Weyl Formula for Elliptic Operators with Non-smooth Coefficients - Part 2 (), Technical report, LMPA, 2000.