Delort, Jean-Marc Microlocal partition of energy for linear wave or Schrödinger equations. (English) Zbl 1497.35019 Tunis. J. Math. 4, No. 2, 329-385 (2022). MSC: 35A27 35L05 35L15 35Q41 PDFBibTeX XMLCite \textit{J.-M. Delort}, Tunis. J. Math. 4, No. 2, 329--385 (2022; Zbl 1497.35019) Full Text: DOI
Delort, Jean-Marc Long time existence results for Hamiltonian nonlinear Klein-Gordon equations on some compact manifolds. (English) Zbl 1469.35153 Giga, Yoshikazu (ed.) et al., The role of metrics in the theory of partial differential equations. Proceedings of the 11th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Nagoya University, Japan, July 2–13 2018. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 85, 1-37 (2021). MSC: 35L72 35S50 37K45 58J45 PDFBibTeX XMLCite \textit{J.-M. Delort}, Adv. Stud. Pure Math. 85, 1--37 (2021; Zbl 1469.35153) Full Text: DOI
Delort, Jean-Marc Long time existence results for solutions of water waves equations. (English) Zbl 1448.76034 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2241-2260 (2018). MSC: 76B15 35Q35 PDFBibTeX XMLCite \textit{J.-M. Delort}, in: Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume III. Invited lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 2241--2260 (2018; Zbl 1448.76034) Full Text: DOI Link
Delort, Jean-Marc Semiclassical microlocal normal forms and global solutions of modified one-dimensional KG equations. (Formes normales semi-classiques et solutions globales d’équations de Klein-Gordon modifiées en dimension un.) (English. French summary) Zbl 1377.35200 Ann. Inst. Fourier 66, No. 4, 1451-1528 (2016). Reviewer: Chengbo Wang (Hangzhou) MSC: 35L71 35A01 35B40 35A27 PDFBibTeX XMLCite \textit{J.-M. Delort}, Ann. Inst. Fourier 66, No. 4, 1451--1528 (2016; Zbl 1377.35200) Full Text: DOI
Delort, J.-M. Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres. (English) Zbl 1315.35003 Mem. Am. Math. Soc. 1103, v, 80 p. (2015). MSC: 35-02 35L72 35S50 37K45 58J45 PDFBibTeX XMLCite \textit{J. M. Delort}, Quasi-linear perturbations of Hamiltonian Klein-Gordon equations on spheres. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1315.35003) Full Text: DOI Link
Delort, J.-M. Growth of Sobolev norms for solutions of time dependent Schrödinger operators with harmonic oscillator potential. (English) Zbl 1291.35254 Commun. Partial Differ. Equations 39, No. 1, 1-33 (2014). MSC: 35Q41 35B40 PDFBibTeX XMLCite \textit{J. M. Delort}, Commun. Partial Differ. Equations 39, No. 1, 1--33 (2014; Zbl 1291.35254) Full Text: DOI
Delort, Jean-Marc A quasi-linear Birkhoff normal forms method. Application to the quasi-linear Klein-Gordon equation on \(\mathbb S^1\). (English) Zbl 1243.35123 Astérisque 341. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-335-5/pbk). 213 p. (2012). Reviewer: Jiansheng Geng (Nanjing) MSC: 35L72 35S50 37K05 PDFBibTeX XMLCite \textit{J.-M. Delort}, A quasi-linear Birkhoff normal forms method. Application to the quasi-linear Klein-Gordon equation on \(\mathbb S^1\). Paris: Société Mathématique de France (SMF) (2012; Zbl 1243.35123)
Delort, Jean-Marc Periodic solutions of nonlinear Schrödinger equations: a paradifferential approach. (English) Zbl 1264.35211 Anal. PDE 4, No. 5, 639-676 (2011). MSC: 35Q55 35B10 35S50 PDFBibTeX XMLCite \textit{J.-M. Delort}, Anal. PDE 4, No. 5, 639--676 (2011; Zbl 1264.35211) Full Text: DOI Link
Delort, Jean-Marc Growth of Sobolev norms of solutions of linear Schrödinger equations on some compact manifolds. (English) Zbl 1229.35040 Int. Math. Res. Not. 2010, No. 12, 2305-2328 (2010). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J10 35B10 35B40 35G10 58J05 PDFBibTeX XMLCite \textit{J.-M. Delort}, Int. Math. Res. Not. 2010, No. 12, 2305--2328 (2010; Zbl 1229.35040) Full Text: DOI
Delort, J.-M. On long time existence for small solutions of semi-linear Klein-Gordon equations on the torus. (English) Zbl 1184.35211 J. Anal. Math. 107, 161-194 (2009). Reviewer: Marie Kopáčková (Praha) MSC: 35L71 35L15 58J45 35B65 35B40 PDFBibTeX XMLCite \textit{J. M. Delort}, J. Anal. Math. 107, 161--194 (2009; Zbl 1184.35211) Full Text: DOI HAL
Delort, J.-M. Long-time Sobolev stability for small solutions of quasi-linear Klein-Gordon equations on the circle. (English) Zbl 1179.35195 Trans. Am. Math. Soc. 361, No. 8, 4299-4365 (2009). Reviewer: Satyanad Kichenassamy (Reims) MSC: 35L72 35S50 35L15 35B40 35B10 PDFBibTeX XMLCite \textit{J. M. Delort}, Trans. Am. Math. Soc. 361, No. 8, 4299--4365 (2009; Zbl 1179.35195) Full Text: DOI
Delort, Jean-Marc Long-time stability for small solutions to quasilinear Klein-Gordon equations on \(\mathbb{S}^1\). (Stabilité en temps grand pour les petites solutions d’équations de Klein-Gordon quasilinéaires sur \(\mathbb{S}^1\).) (French) Zbl 1179.35060 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2007-2008, Exp. No. XI, 17 p. (2008). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35B40 35S50 35L72 35B10 35L15 PDFBibTeX XMLCite \textit{J.-M. Delort}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2007--2008, Exp. No. XI, 17 p. (2008; Zbl 1179.35060) Full Text: EuDML
Delort, Jean-Marc Normal forms and long time existence for semilinear Klein–Gordon equations. (English) Zbl 1178.35310 Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 10, No. 1, 1-23 (2007). MSC: 35Q40 81Q05 PDFBibTeX XMLCite \textit{J.-M. Delort}, Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 10, No. 1, 1--23 (2007; Zbl 1178.35310)
Delort, Jean-Marc Global existence and asymptotics for the quasilinear Klein-Gordon equation with small data in one space dimension. (Existence globale et comportement asymptotique pour l’équation de Klein-Gordon quasi linéaire à données petites en dimension 1.) (French. English summary) Zbl 1109.35095 Ann. Sci. Éc. Norm. Supér. (4) 39, No. 2, 335-345 (2006). MSC: 35Q40 35S50 35Q53 35B40 PDFBibTeX XMLCite \textit{J.-M. Delort}, Ann. Sci. Éc. Norm. Supér. (4) 39, No. 2, 335--345 (2006; Zbl 1109.35095) Full Text: DOI Numdam EuDML
Delort, Jean-Marc Almost orthogonality of products of eigenfunctions and long-time existence of solutions of semilinear Klein-Gordon equations on Zoll manifolds. (Presque orthogonalité de produits de fonctions propres et existence en temps grand pour LES équations de Klein-Gordon semi-linéaires sur LES variétés de zoll.) (French) Zbl 1292.58020 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2004-2005, Exp. No. 13, 13 p. (2005). MSC: 58J45 35L70 PDFBibTeX XMLCite \textit{J.-M. Delort}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2004--2005, Exp. No. 13, 13 p. (2005; Zbl 1292.58020)
Delort, Jean-Marc Global solutions for the nonlinear quadratic, small-data Schrödinger equation. (Solutions globales pour l’équation de Schrödinger à nonlinéarités quadratiques et à données petites.) (French) Zbl 1292.35276 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2001-2002, Exp. No. 12, 14 p. (2002). MSC: 35Q55 35C05 81Q05 PDFBibTeX XMLCite \textit{J.-M. Delort}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2001--2002, Exp. No. 12, 14 p. (2002; Zbl 1292.35276)
Delort, Jean-Marc Global solutions for small nonlinear long range perturbations of two dimensional Schrödinger equations. (English) Zbl 1008.35072 Mém. Soc. Math. Fr., Nouv. Sér. 91, vi, 94 p. (2002). MSC: 35Q55 35Q05 35S50 PDFBibTeX XMLCite \textit{J.-M. Delort}, Mém. Soc. Math. Fr., Nouv. Sér. 91, vi, 94 p. (2002; Zbl 1008.35072) Full Text: DOI Numdam
Delort, Jean-Marc Global existence and asymptotics for the quasilinear Klein-Gordon equation with small data in one space dimension. (Existence globale et comportement asymptotique pour l’équation de Klein-Gordon quasi linéaire à données petites en dimension 1.) (French) Zbl 0990.35119 Ann. Sci. Éc. Norm. Supér. (4) 34, No. 1, 1-61 (2001). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35Q40 35S50 35Q53 PDFBibTeX XMLCite \textit{J.-M. Delort}, Ann. Sci. Éc. Norm. Supér. (4) 34, No. 1, 1--61 (2001; Zbl 0990.35119) Full Text: DOI Numdam EuDML
Delort, Jean-Marc Existence times for the semilinear Klein-Gordon equation with weakly decreasing small data. (Temps d’existence pour l’équation de Klein-Gordon semi-linéaire à données petites faiblement décroissantes.) (French) Zbl 1065.35194 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1999-2000, Exp. No. II, 18 p. (2000). Reviewer: Satyanad Kichenassamy (Reims) MSC: 35L70 35L15 PDFBibTeX XMLCite \textit{J.-M. Delort}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1999--2000, Exp. No. II, 18 p. (2000; Zbl 1065.35194) Full Text: Numdam EuDML
Delort, J.-M. Lower bound of the time of existence for the nonlinear Klein-Gordon equation in one space dimension. (Minoration du temps d’existence pour l’équation de Klein-Gordon non-linéaire en dimension 1 d’espace.) (French) Zbl 0937.35160 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 16, No. 5, 563-591 (1999). Reviewer: N.D.Sengupta (Bombay) MSC: 35Q53 35B35 PDFBibTeX XMLCite \textit{J. M. Delort}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 16, No. 5, 563--591 (1999; Zbl 0937.35160) Full Text: DOI Numdam EuDML
Delort, J.-M. Time of existence for the semilinear Klein-Gordon equation with periodic small data. (Temps d’existence pour l’équation de Klein-Gordon semi-linéaire à données petites périodiques.) (French) Zbl 0902.35108 Am. J. Math. 120, No. 3, 663-689 (1998). MSC: 35Q55 35A05 PDFBibTeX XMLCite \textit{J. M. Delort}, Am. J. Math. 120, No. 3, 663--689 (1998; Zbl 0902.35108) Full Text: DOI Link
Delort, Jean-Marc The Klein-Gordon equation with small weakly decreasing data. (Léquation de Klein-Gordon à données petites faiblement décroissantes.) (French) Zbl 1069.35511 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1996-1997, Exp. No. V, 14 p. (1997). MSC: 35L70 35Q53 35A07 35B05 PDFBibTeX XMLCite \textit{J.-M. Delort}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1996--1997, Exp. No. V, 14 p. (1997; Zbl 1069.35511) Full Text: Numdam EuDML
Delort, Jean-Marc On the existence time of the semilinear Klein-Gordon equation in dimension one. (Sur le temps d’existence pour l’équation de Klein-Gordon semi-linéaire en dimension 1.) (French) Zbl 0892.35102 Bull. Soc. Math. Fr. 125, No. 2, 269-311 (1997). Reviewer: P.Popivanov (Sofia) MSC: 35L70 35L15 35B40 PDFBibTeX XMLCite \textit{J.-M. Delort}, Bull. Soc. Math. Fr. 125, No. 2, 269--311 (1997; Zbl 0892.35102) Full Text: DOI Numdam EuDML Link
Delort, Jean-Marc Simultaneous microlocalisation and the ramified Cauchy problem. (Microlocalisation simultanée et problème de Cauchy ramifié.) (French) Zbl 0859.35002 Compos. Math. 100, No. 2, 171-204 (1996). Reviewer: S.Dimiev (Sofia) MSC: 35A27 58J10 35A10 35A20 PDFBibTeX XMLCite \textit{J.-M. Delort}, Compos. Math. 100, No. 2, 171--204 (1996; Zbl 0859.35002) Full Text: Numdam EuDML
Delort, J.-M. Non-Lipschitzian conormal singularities for incompressible scalar conservation laws. (Singularités conormales non-Lipschitziennes pour des lois de conservation scalaires incompressibles.) (French) Zbl 0818.35060 Commun. Partial Differ. Equations 20, No. 1-2, 179-231 (1995). Reviewer: E.V.Nicolau (Bucureşti) MSC: 35L65 35L60 35L67 PDFBibTeX XMLCite \textit{J. M. Delort}, Commun. Partial Differ. Equations 20, No. 1--2, 179--231 (1995; Zbl 0818.35060) Full Text: DOI
Delort, J.-M. Existence of vortex sheets of fixed sign in the plane. (Existence des nappes de tourbillon de signe fixe en dimension deux.) (French) Zbl 0817.35074 Brezis, H. (ed.) et al., Nonlinear partial differential equations and their applications. Collège de France Seminar, volume XII. Lectures held at the weekly seminar on applied mathematics, Paris, France, 1991-1993. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 302, 65-74 (1994). MSC: 35Q35 35A05 76B47 PDFBibTeX XMLCite \textit{J. M. Delort}, Pitman Res. Notes Math. Ser. 302, 65--74 (1994; Zbl 0817.35074)
Delort, J.-M. Simultaneous microlocalization and ramified Cauchy problem. (Microlocalisation simultanée et problème de Cauchy ramifié.) (French) Zbl 1136.35303 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau, Sémin. 1992-1993, Exp. No. 11, 18 p. (1993). MSC: 35A27 58J15 PDFBibTeX XMLCite \textit{J. M. Delort}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 11, 18 p. (1993; Zbl 1136.35303) Full Text: EuDML
Delort, Jean-Marc A remark on the axisymmetric vortex sheet problem in \(\mathbb{R}^ 3\). (Une remarque sur le problème des nappes de tourbillon axisymétriques sur \(\mathbb{R}^ 3\).) (French) Zbl 0774.35053 J. Funct. Anal. 108, No. 2, 274-295 (1992). Reviewer: G.Jumarie (Montreal) MSC: 35Q05 76B47 35Q35 PDFBibTeX XMLCite \textit{J.-M. Delort}, J. Funct. Anal. 108, No. 2, 274--295 (1992; Zbl 0774.35053) Full Text: DOI
Delort, Jean-Marc F.B.I. transformation. Second microlocalization and semilinear caustics. (English) Zbl 0760.35004 Lecture Notes in Mathematics. 1522. Berlin: Springer-Verlag. 100 p. (1992). Reviewer: J.Chrastina (Brno) MSC: 35A27 35A22 35-01 35L70 58J47 35L05 35L67 PDFBibTeX XMLCite \textit{J.-M. Delort}, F. B.I. transformation. Second microlocalization and semilinear caustics. Berlin: Springer-Verlag (1992; Zbl 0760.35004) Full Text: DOI
Delort, Jean-Marc Existence de nappes de tourbillon sur \({\mathbb{R}}^ 2\). (Existence of vortex sheets on \({\mathbb{R}}^ 2)\). (French) Zbl 0713.76024 C. R. Acad. Sci., Paris, Sér. I 312, No. 1, 85-88 (1991). MSC: 76B47 35Q35 PDFBibTeX XMLCite \textit{J.-M. Delort}, C. R. Acad. Sci., Paris, Sér. I 312, No. 1, 85--88 (1991; Zbl 0713.76024)
Delort, J.-M. Existence de nappes de tourbillon pour l’équation d’Euler sur le plan. (Existence of the vortex nappe for the Euler equation on the plane). (French) Zbl 0736.76010 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1990-1991, No.II, 12 p. (1991). MSC: 76B47 35Q35 35D05 PDFBibTeX XML Full Text: Numdam EuDML
Delort, Jean-Marc Existence of vortex sheets in dimension two. (Existence de nappes de tourbillon en dimension deux.) (French) Zbl 0780.35073 J. Am. Math. Soc. 4, No. 3, 553-586 (1991). Reviewer: S.Cinquini (Pavia) MSC: 35Q30 35L60 76B47 PDFBibTeX XMLCite \textit{J.-M. Delort}, J. Am. Math. Soc. 4, No. 3, 553--586 (1991; Zbl 0780.35073) Full Text: DOI
Delort, Jean-Marc Conormality of semilinear waves along caustics. (Conormalité des ondes semi-linéaires le long des caustiques.) (French) Zbl 0758.35005 Am. J. Math. 113, No. 4, 593-651 (1991). Reviewer: P.Godin (Bruxelles) MSC: 35A27 35L67 35L70 35S05 PDFBibTeX XMLCite \textit{J.-M. Delort}, Am. J. Math. 113, No. 4, 593--651 (1991; Zbl 0758.35005) Full Text: DOI
Delort, Jean-Marc Oscillations semi-linéaires multiphasées compatibles en dimension 2 ou 3 d’espace. (French) Zbl 0736.35001 Commun. Partial Differ. Equations 16, No. 4-5, 845-872 (1991). Reviewer: L.Rodino (Torino) MSC: 35A05 35B40 35G25 35B05 PDFBibTeX XMLCite \textit{J.-M. Delort}, Commun. Partial Differ. Equations 16, No. 4--5, 845--872 (1991; Zbl 0736.35001) Full Text: DOI
Delort, J. M. Deuxième microlocalisation simultanée et front d’onde de produits. (The second simultaneous microlocalization and the wave front of products). (French) Zbl 0715.35049 Ann. Sci. Éc. Norm. Supér. (4) 23, No. 2, 257-310 (1990). Reviewer: N.Jacob MSC: 35L70 35S05 46F10 PDFBibTeX XMLCite \textit{J. M. Delort}, Ann. Sci. Éc. Norm. Supér. (4) 23, No. 2, 257--310 (1990; Zbl 0715.35049) Full Text: DOI Numdam EuDML
Delort, Jean-Marc Deuxième microlocalisation simultanée et applications. (Second simultaneous microlocalisation and applications). (French) Zbl 0706.35003 Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1990, No. 8, 13 p. (1990). Reviewer: B.Helffer MSC: 35A27 35B05 PDFBibTeX XML Full Text: Numdam EuDML
Delort, J.-M. Conormalité des ondes semi-linéaires le long des caustiques. (Conormality of semilinear waves along caustics). (French) Zbl 0703.35113 Sémin. Équations Dériv. Partielles 1988-1989, Exp. No. 15, 12 p. (1989). Reviewer: I.Onciulescu MSC: 35L70 35L67 PDFBibTeX XML Full Text: Numdam EuDML
Delort, Jean-Marc Problème mixte hyperbolique avec saut sur la condition aux limites. (A mixed hyperbolic problem with jump in the boundary condition). (French) Zbl 0652.35069 Ann. Inst. Fourier 39, No. 2, 319-360 (1989). Reviewer: J.M.Delort MSC: 35L50 35R05 35D05 35D10 35A27 PDFBibTeX XMLCite \textit{J.-M. Delort}, Ann. Inst. Fourier 39, No. 2, 319--360 (1989; Zbl 0652.35069) Full Text: DOI Numdam EuDML
Delort, Jean-Marc Problème mixte hyperbolique avec saut sur la condition aux limites. (A mixed hyperbolic problem with jump in the boundary conditions). (French) Zbl 0641.35039 Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1987, Exp. No. 22, 9 p. (1987). MSC: 35L25 35R05 35L67 PDFBibTeX XML Full Text: Numdam EuDML
Delort, Jean-Marc Estimations fines pour des opérateurs pseudo-différentiels analytiques sur un ouvert à bord de \({\mathbb{R}}^ n\). Application aux équations d’Euler. (Fine estimates for pseudodifferential operators analytic on a bounded open set in \({\mathbb{R}}^ n\). Application to Euler’s equation). (French) Zbl 0594.35118 Commun. Partial Differ. Equations 10, 1465-1525 (1985). Reviewer: G.Popov MSC: 35S15 35G15 PDFBibTeX XMLCite \textit{J.-M. Delort}, Commun. Partial Differ. Equations 10, 1465--1525 (1985; Zbl 0594.35118) Full Text: DOI
Delort, Jean-Marc Une propriété de borne uniforme pour la mesure d’une chaîne résolvant un bord sous-analytique. (A uniform boundedness property for the measure of a chain solving a subanalytic boundary). (French) Zbl 0584.32012 C. R. Acad. Sci., Paris, Sér. I 300, 577-580 (1985). Reviewer: M.Hervé MSC: 32B20 PDFBibTeX XMLCite \textit{J.-M. Delort}, C. R. Acad. Sci., Paris, Sér. I 300, 577--580 (1985; Zbl 0584.32012)