Gérard, Patrick; Grellier, Sandrine; He, Zihui Turbulent cascades for a family of damped Szegő equations. (English) Zbl 1498.35023 Nonlinearity 35, No. 9, 4820-4849 (2022). MSC: 35B15 47B35 37K10 37K15 PDFBibTeX XMLCite \textit{P. Gérard} et al., Nonlinearity 35, No. 9, 4820--4849 (2022; Zbl 1498.35023) Full Text: DOI arXiv
Gérard, Patrick; Grellier, Sandrine [Klein, Christian] On a damped Szegö equation (with an appendix in collaboration with Christian Klein). (English) Zbl 1448.35022 SIAM J. Math. Anal. 52, No. 5, 4391-4420 (2020). MSC: 35B15 35Q55 47B35 37K15 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, SIAM J. Math. Anal. 52, No. 5, 4391--4420 (2020; Zbl 1448.35022) Full Text: DOI arXiv
Gérard, Patrick; Grellier, Sandrine A survey of the Szegő equation. (English) Zbl 1428.35067 Sci. China, Math. 62, No. 6, 1087-1100 (2019). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35B65 35B15 47B35 37K15 35Q55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Sci. China, Math. 62, No. 6, 1087--1100 (2019; Zbl 1428.35067) Full Text: DOI
Gérard, Patrick; Grellier, Sandrine Generic colourful tori and inverse spectral transform for Hankel operators. (English) Zbl 1409.35045 Tunis. J. Math. 1, No. 3, 347-372 (2019). MSC: 35B65 37K15 47B35 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Tunis. J. Math. 1, No. 3, 347--372 (2019; Zbl 1409.35045) Full Text: DOI arXiv
Gérard, Patrick; Grellier, Sandrine Inverse spectral problem for a pair of self-adjoint Hankel operators. (English) Zbl 1449.35032 Jaming, Philippe (ed.) et al., Harmonic analysis, function theory, operator theory, and their applications. Proceedings of the international conference in honour of Jean Esterle, Bordeaux, France, June 1–4, 2015. Editor list corrected in erratum. Bucharest: The Theta Foundation. Theta Ser. Adv. Math. 19, 159-169 (2017). MSC: 35B15 47B35 37K15 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Theta Ser. Adv. Math. 19, 159--169 (2017; Zbl 1449.35032)
Gérard, Patrick; Grellier, Sandrine The cubic Szegő equation and Hankel operators. (English) Zbl 1410.37001 Astérisque 389. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-854-1/pbk). vi, 113 p. (2017). MSC: 37-02 37K15 30J10 35F20 35Q55 35R11 47B35 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, The cubic Szegő equation and Hankel operators. Paris: Société Mathématique de France (SMF) (2017; Zbl 1410.37001) Full Text: arXiv
Gérard, Patrick; Grellier, Sandrine On the growth of Sobolev norms for the cubic Szegő equation. (English) Zbl 1355.35022 Sémin. Laurent Schwartz, EDP Appl. 2014-2015, Exp. No. 11, 20 p (2016). MSC: 35B40 35B15 47B35 37K15 35Q55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Sémin. Laurent Schwartz, EDP Appl. 2014--2015, Exp. No. 11, 20 p (2016; Zbl 1355.35022) Full Text: DOI Link
Gérard, Patrick; Grellier, Sandrine An explicit formula for the cubic Szegő equation. (English) Zbl 1318.37024 Trans. Am. Math. Soc. 367, No. 4, 2979-2995 (2015). Reviewer: Vladimir V. Peller (East Lansing) MSC: 37K15 47B35 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Trans. Am. Math. Soc. 367, No. 4, 2979--2995 (2015; Zbl 1318.37024) Full Text: DOI arXiv
Gérard, Patrick; Grellier, Sandrine Inverse spectral problems for compact Hankel operators. (English) Zbl 1304.47038 J. Inst. Math. Jussieu 13, No. 2, 273-301 (2014). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47B35 37K15 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, J. Inst. Math. Jussieu 13, No. 2, 273--301 (2014; Zbl 1304.47038) Full Text: DOI
Gerard, Patrick; Grellier, Sandrine Multiple singular values of Hankel operators. arXiv:1402.1716 Preprint, arXiv:1402.1716 [math.AP] (2014). BibTeX Cite \textit{P. Gerard} and \textit{S. Grellier}, ``Multiple singular values of Hankel operators'', Preprint, arXiv:1402.1716 [math.AP] (2014) Full Text: arXiv OA License
Gérard, Patrick; Grellier, Sandrine Inverse spectral problems and the cubic Szegö equation. (Problème spectral inverse et équation de Szegö cubique.) (English) Zbl 1342.47040 Sémin. Laurent Schwartz, EDP Appl. 2011-2012, Exp. No. XV, 11 p. (2013). Reviewer: Vladimir V. Peller (East Lansing) MSC: 47B35 37K15 35Q55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Sémin. Laurent Schwartz, EDP Appl. 2011--2012, Exp. No. XV, 11 p. (2013; Zbl 1342.47040) Full Text: DOI
Gérard, Patrick; Grellier, Sandrine Effective integrable dynamics for a certain nonlinear wave equation. (English) Zbl 1268.35013 Anal. PDE 5, No. 5, 1139-1155 (2012). Reviewer: Laurent Thomann (Nantes) MSC: 35B40 35B34 37K55 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Anal. PDE 5, No. 5, 1139--1155 (2012; Zbl 1268.35013) Full Text: DOI arXiv Link
Gérard, Patrick; Grellier, Sandrine Invariant tori for the cubic Szegö equation. (English) Zbl 1252.35026 Invent. Math. 187, No. 3, 707-754 (2012). Reviewer: Jiansheng Geng (Nanjing) MSC: 35B15 37K15 47B35 35B35 35C07 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Invent. Math. 187, No. 3, 707--754 (2012; Zbl 1252.35026) Full Text: DOI arXiv
Gerard, Patrick; Grellier, Sandrine Spectral inverse problems for compact Hankel operators. arXiv:1201.4971 Preprint, arXiv:1201.4971 [math.AP] (2012). BibTeX Cite \textit{P. Gerard} and \textit{S. Grellier}, ``Spectral inverse problems for compact Hankel operators'', Preprint, arXiv:1201.4971 [math.AP] (2012) Full Text: arXiv OA License
Gérard, Patrick; Grellier, Sandrine The cubic Szegő equation. (L’équation de Szegő cubique.) (English. French summary) Zbl 1228.35225 Ann. Sci. Éc. Norm. Supér. (4) 43, No. 5, 761-810 (2010). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35Q55 35B15 37K10 47B35 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Ann. Sci. Éc. Norm. Supér. (4) 43, No. 5, 761--810 (2010; Zbl 1228.35225) Full Text: DOI arXiv Link
Gérard, Patrick; Grellier, Sandrine The cubic Szegö equation. (L’equation de Szegö cubique.) (French) Zbl 1213.35397 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2008-2009, Exp. No. II, 19 p. (2010). Reviewer: Svetlin Georgiev (Rousse) MSC: 35R03 35Q55 35B35 PDFBibTeX XMLCite \textit{P. Gérard} and \textit{S. Grellier}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2008--2009, Exp. No. II, 19 p. (2010; Zbl 1213.35397) Full Text: EuDML