Alinhac, S. Blowup and blowup at infinity for quasilinear wave equations. (English) Zbl 1257.35050 Int. Math. Res. Not. 2012, No. 23, 5361-5408 (2012). MSC: 35B44 35L72 35F50 PDFBibTeX XMLCite \textit{S. Alinhac}, Int. Math. Res. Not. 2012, No. 23, 5361--5408 (2012; Zbl 1257.35050) Full Text: DOI
Alinhac, S. Geometric analysis of hyperbolic differential equations: an introduction. (English) Zbl 1204.35001 London Mathematical Society Lecture Note Series 374. Cambridge: Cambridge University Press (ISBN 978-0-521-12822-3/pbk). ix, 118 p. (2010). Reviewer: Chengbo Wang (Baltimore) MSC: 35-02 35Q76 35L15 83Cxx 35L72 PDFBibTeX XMLCite \textit{S. Alinhac}, Geometric analysis of hyperbolic differential equations: an introduction. Cambridge: Cambridge University Press (2010; Zbl 1204.35001)
Alinhac, S. Stability of large solutions to quasilinear wave equations. (English) Zbl 1191.35049 Indiana Univ. Math. J. 58, No. 6, 2543-2574 (2009). Reviewer: Marie Kopáčková (Praha) MSC: 35B35 35B44 35L72 35L15 35B40 35C20 PDFBibTeX XMLCite \textit{S. Alinhac}, Indiana Univ. Math. J. 58, No. 6, 2543--2574 (2009; Zbl 1191.35049) Full Text: DOI
Alinhac, Serge Energy multipliers for perturbations of the Schwarzschild metric. (English) Zbl 1196.53053 Commun. Math. Phys. 288, No. 1, 199-224 (2009). Reviewer: Tokio Matsuyama (Kanagawa) MSC: 53D50 83C20 PDFBibTeX XMLCite \textit{S. Alinhac}, Commun. Math. Phys. 288, No. 1, 199--224 (2009; Zbl 1196.53053) Full Text: DOI
Alinhac, Serge Hyperbolic partial differential equations. (English) Zbl 1178.35001 Universitext. New York, NY: Springer (ISBN 978-0-387-87822-5/pbk; 978-0-387-87823-2/ebook). xii, 150 p. (2009). Reviewer: Marie Kopáčková (Praha) MSC: 35-01 35L45 35L05 35L60 35L65 35Lxx 35L15 35L72 PDFBibTeX XMLCite \textit{S. Alinhac}, Hyperbolic partial differential equations. New York, NY: Springer (2009; Zbl 1178.35001) Full Text: DOI
Alinhac, Serge Exceptional blowup solutions to quasilinear wave equations. II. (English) Zbl 1133.35068 Asian J. Math. 11, No. 1, 39-45 (2007). MSC: 35L70 35B35 35L15 PDFBibTeX XMLCite \textit{S. Alinhac}, Asian J. Math. 11, No. 1, 39--45 (2007; Zbl 1133.35068) Full Text: DOI
Alinhac, Serge; Gérard, Patrick Pseudo-differential operators and the Nash–Moser theorem. Transl. from the French by Stephen S. Wilson. (English) Zbl 1121.47033 Graduate Studies in Mathematics 82. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-3454-1/hbk). vii, 168 p. (2007). Reviewer: Alberto Parmeggiani (Bologna) MSC: 47G30 35S05 42B25 46F10 46F05 46-01 35-01 58J40 58-01 PDFBibTeX XMLCite \textit{S. Alinhac} and \textit{P. Gérard}, Pseudo-differential operators and the Nash--Moser theorem. Transl. from the French by Stephen S. Wilson. Providence, RI: American Mathematical Society (AMS) (2007; Zbl 1121.47033)
Alinhac, Serge Exceptional blowup solutions to quasilinear wave equations. (English) Zbl 1134.35381 Int. Math. Res. Not. 2006, No. 7, Article ID 26203, 17 p. (2006). MSC: 35L70 35B40 PDFBibTeX XMLCite \textit{S. Alinhac}, Int. Math. Res. Not. 2006, No. 7, Article ID 26203, 17 p. (2006; Zbl 1134.35381) Full Text: DOI
Alinhac, Serge On the Morawetz–Keel-Smith-Sogge inequality for the wave equation on a curved background. (English) Zbl 1388.35123 Publ. Res. Inst. Math. Sci. 42, No. 3, 705-720 (2006). MSC: 35L15 35B45 58J45 35L40 PDFBibTeX XMLCite \textit{S. Alinhac}, Publ. Res. Inst. Math. Sci. 42, No. 3, 705--720 (2006; Zbl 1388.35123) Full Text: DOI
Alinhac, S. Explosive solutions of quasilinear wave equations. (Solutions explosives exceptionnelles d’équations d’ondes quasi-linéaires.) (French) Zbl 1111.35087 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 2005-2006, XIX1-XIX10 (2006). Reviewer: Yves Cherruault (Paris) MSC: 35Q60 37K45 35J60 PDFBibTeX XMLCite \textit{S. Alinhac}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2005--2006, XIX1-XIX10 (2006; Zbl 1111.35087) Full Text: EuDML
Alinhac, S. Semilinear hyperbolic systems with blowup at infinity. (English) Zbl 1122.35068 Indiana Univ. Math. J. 55, No. 3, 1209-1232 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35L55 35L70 35B40 35L15 PDFBibTeX XMLCite \textit{S. Alinhac}, Indiana Univ. Math. J. 55, No. 3, 1209--1232 (2006; Zbl 1122.35068) Full Text: DOI
Alinhac, Serge Free decay of solutions to wave equations on a curved background. (English) Zbl 1096.35013 Bull. Soc. Math. Fr. 133, No. 3, 419-458 (2005). MSC: 35B40 35L15 PDFBibTeX XMLCite \textit{S. Alinhac}, Bull. Soc. Math. Fr. 133, No. 3, 419--458 (2005; Zbl 1096.35013) Full Text: DOI
Alinhac, Serge Geometric methods in the study of the Einstein equations (following Christodoulou, Klainerman, Nicolò and Rodnianski). (Méthodes géométriques dans l’étude des équations d’Einstein (d’après Christodoulou, Klainerman, Nicolò et Rodnianski).) (French) Zbl 1078.35124 Bourbaki seminar. Volume 2003/2004. Exposes 924–937. Paris: Société Mathématique de France (ISBN 2-85629-173-2/pbk). Astérisque 299, 249-265, Exp. No. 934 (2005). MSC: 35Q75 35L60 83C05 35L70 PDFBibTeX XMLCite \textit{S. Alinhac}, Astérisque 299, 249--265, Exp. No. 934 (2005; Zbl 1078.35124)
Alinhac, Serge Energy inequalities and solutions of wave equations in a curved metric. (Inégalités d’énergie et solutions d’équations d’ondes en métrique courbe.) (French) Zbl 1292.58019 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2003-2004, Exp. No. 4, 10 p. (2004). MSC: 58J45 35L70 35B45 PDFBibTeX XMLCite \textit{S. Alinhac}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2003--2004, Exp. No. 4, 10 p. (2004; Zbl 1292.58019)
Alinhac, S. Remarks on energy inequalities for wave and Maxwell equations on a curved background. (English) Zbl 1065.35075 Math. Ann. 329, No. 4, 707-722 (2004). Reviewer: Rainer Picard (Dresden) MSC: 35B45 35L05 35Q60 PDFBibTeX XMLCite \textit{S. Alinhac}, Math. Ann. 329, No. 4, 707--722 (2004; Zbl 1065.35075) Full Text: DOI
Alinhac, Serge An example of blowup at infinity for a quasilinear wave equation. (English) Zbl 1053.35097 Lebeau, Gilles (ed.), On microlocal analysis. Volume dedicated to Jean-Michel Bony on the occasion of his 60th birthday. Paris: Société Mathématique de France (ISBN 2-85629-132-5/pbk). Astérisque 284, 1-91 (2003). Reviewer: Petar Popivanov (Sofia) MSC: 35L70 35L15 35B05 78A05 35S50 PDFBibTeX XMLCite \textit{S. Alinhac}, Astérisque 284, 1--91 (2003; Zbl 1053.35097)
Alinhac, Serge The global existence of smooth solutions to quasilinear wave equations a very short course. (English) Zbl 1049.35132 Colombini, Ferruccio (ed.) et al., Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10–14, 2002. Somerville, MA: International Press (ISBN 1-57146-150-7/pbk). Grad. Ser. Anal., 1-16 (2003). Reviewer: Horst Lange (Köln) MSC: 35L70 PDFBibTeX XMLCite \textit{S. Alinhac}, in: Hyperbolic problems and related topics. Proceedings of the conference, Cortona, Italy, September 10--14, 2002. Somerville, MA: International Press. 1--16 (2003; Zbl 1049.35132)
Alinhac, Serge An example of blow-up at infinity for a quasilinear wave equation. (Un exemple d’explosion à l’infini pour une équation d’ondes quasi-linéaire.) (French) Zbl 1292.35059 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2001-2002, Exp. No. 16, 10 p. (2002). MSC: 35B44 35L72 PDFBibTeX XMLCite \textit{S. Alinhac}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2001--2002, Exp. No. 16, 10 p. (2002; Zbl 1292.35059)
Alinhac, S. The null condition for hyperbolic equations in two space dimensions. (La condition nulle pour les équations hyperboliques en dimension deux d’espace.) (French) Zbl 1078.35522 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 2000-2001, Exp. No. V, 12 p. (2001). Reviewer: P. Godin (Bruxelles) MSC: 35L70 35B40 35L15 PDFBibTeX XMLCite \textit{S. Alinhac}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 2000--2001, Exp. No. V, 12 p. (2001; Zbl 1078.35522) Full Text: Numdam EuDML
Alinhac, S. The null condition for quasilinear wave equations in two space dimensions. II. (English) Zbl 1112.35342 Am. J. Math. 123, No. 6, 1071-1101 (2001). MSC: 35L70 35B40 35L15 PDFBibTeX XMLCite \textit{S. Alinhac}, Am. J. Math. 123, No. 6, 1071--1101 (2001; Zbl 1112.35342) Full Text: DOI Link
Alinhac, S. The null condition for quasilinear wave equations in two space dimensions. I. (English) Zbl 1112.35341 Invent. Math. 145, No. 3, 597-618 (2001). MSC: 35L70 35B40 35L15 PDFBibTeX XMLCite \textit{S. Alinhac}, Invent. Math. 145, No. 3, 597--618 (2001; Zbl 1112.35341) Full Text: DOI
Alinhac, Serge Remarks on the blow-up rate of classical solutions to quasilinear multidimensional hyperbolic systems. (English) Zbl 0979.35092 J. Math. Pures Appl., IX. Sér. 79, No. 8, 839-854 (2000). Reviewer: Andrei Perjan (Chişinău) MSC: 35L60 35B05 35B40 35L67 PDFBibTeX XMLCite \textit{S. Alinhac}, J. Math. Pures Appl. (9) 79, No. 8, 839--854 (2000; Zbl 0979.35092) Full Text: DOI
Alinhac, S. Rank 2 singular solutions for quasilinear wave equations. (English) Zbl 0971.35053 Int. Math. Res. Not. 2000, No. 18, 955-984 (2000). Reviewer: K.Kajitani (Ibaraki) MSC: 35L70 35B05 PDFBibTeX XMLCite \textit{S. Alinhac}, Int. Math. Res. Not. 2000, No. 18, 955--984 (2000; Zbl 0971.35053) Full Text: DOI
Alinhac, Serge Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions. II. (English) Zbl 0973.35135 Acta Math. 182, No. 1, 1-23 (1999). MSC: 35L70 35B05 PDFBibTeX XMLCite \textit{S. Alinhac}, Acta Math. 182, No. 1, 1--23 (1999; Zbl 0973.35135) Full Text: DOI
Alinhac, S. Stability of geometric blowup. (English) Zbl 0962.35119 Arch. Ration. Mech. Anal. 150, No. 2, 97-125 (1999). Reviewer: Satyanad Kichenassamy (Reims) MSC: 35L60 35L67 35B20 PDFBibTeX XMLCite \textit{S. Alinhac}, Arch. Ration. Mech. Anal. 150, No. 2, 97--125 (1999; Zbl 0962.35119) Full Text: DOI
Alinhac, Serge Blowup of small data solutions for a quasilinear wave equation in two space dimensions. (English) Zbl 1080.35043 Ann. Math. (2) 149, No. 1, 97-127 (1999). MSC: 35L70 35B05 PDFBibTeX XMLCite \textit{S. Alinhac}, Ann. Math. (2) 149, No. 1, 97--127 (1999; Zbl 1080.35043) Full Text: DOI arXiv EuDML Link
Alinhac, Serge Blow-up of classical solutions of quasilinear wave equations in two space dimensions. (Explosion de solutions classiques d’équations d’ondes quasi-linéaires en deux dimensions d’espace.) (French) Zbl 1078.35523 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1997-1998, Exp. No. II, 11 p. (1998). Reviewer: P. Godin (Bruxelles) MSC: 35L70 35B05 35L15 PDFBibTeX XMLCite \textit{S. Alinhac}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1997--1998, Exp. No. II, 11 p. (1998; Zbl 1078.35523) Full Text: Numdam EuDML
Alinhac, Serge Blowup of small data solutions for a class of quasilinear wave equations in two dimensions: An outline of the proof. (English) Zbl 0896.35087 Colombini, Ferruccio (ed.) et al., Geometrical optics and related topics. Selected papers of the meeting, Cortona, Italy, September 1996. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 32, 1-15 (1997). Reviewer: G.Boillat (Aubière) MSC: 35L70 35B40 PDFBibTeX XMLCite \textit{S. Alinhac}, Prog. Nonlinear Differ. Equ. Appl. 32, 1--15 (1997; Zbl 0896.35087)
Alinhac, S. Explosion of a two-dimensional quasilinear wave equation. (Explosion des solutions d’une équation d’ondes quasi-linéaire en deux dimensions d’espace.) (French) Zbl 0858.35082 Commun. Partial Differ. Equations 21, No. 5-6, 923-969 (1996). Reviewer: S.Kichenassamy (Minneapolis) MSC: 35L70 35B20 35L67 PDFBibTeX XMLCite \textit{S. Alinhac}, Commun. Partial Differ. Equations 21, No. 5--6, 923--969 (1996; Zbl 0858.35082) Full Text: DOI
Alinhac, Serge Blowup of classical solutions of nonlinear hyperbolic equations: A survey of recent results. (English) Zbl 0860.35077 Hörmander, Lars (ed.) et al., Partial differential equations and mathematical physics. The Danish-Swedish analysis seminar, Copenhagen, Denmark, Lund, Sweden, March 17-19, May 19-21, 1995. Proceedings. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 21, 15-24 (1996). Reviewer: S.Kichenassamy (Minneapolis) MSC: 35L67 35B20 35L70 PDFBibTeX XMLCite \textit{S. Alinhac}, Prog. Nonlinear Differ. Equ. Appl. 21, 15--24 (1996; Zbl 0860.35077)
Alinhac, S. Explosion of solutions of quasilinear wave equations in several space dimensions. (Explosion de solutions d’équations d’ondes quasi-linéaires en plusieurs dimensions d’espace.) (French) Zbl 0884.35098 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1995-1996, Exp. No. 5, 10 p. (1996). Reviewer: C.Popa (Iaşi) MSC: 35L70 35B40 PDFBibTeX XMLCite \textit{S. Alinhac}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 5, 10 p. (1996; Zbl 0884.35098) Full Text: Numdam EuDML
Alinhac, S.; Baouendi, M. S. A non uniqueness result for operators of principal type. (English) Zbl 0851.35003 Math. Z. 220, No. 4, 561-568 (1995). MSC: 35A07 35G10 PDFBibTeX XMLCite \textit{S. Alinhac} and \textit{M. S. Baouendi}, Math. Z. 220, No. 4, 561--568 (1995; Zbl 0851.35003) Full Text: DOI EuDML
Alinhac, S. Exact life span and geometric explosion for quasilinear hyperbolic systems in space dimension one. (Temps de vie précisé et explosion géométrique pour des systèmes hyperboliques quasilinéaires en dimension un d’espace.) (French) Zbl 0840.35059 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 22, No. 3, 493-515 (1995). Reviewer: L.G.Vulkov (Russe) MSC: 35L60 35B40 PDFBibTeX XMLCite \textit{S. Alinhac}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 22, No. 3, 493--515 (1995; Zbl 0840.35059) Full Text: Numdam EuDML
Alinhac, S. Geometric explosion for quasilinear systems. (Explosion géométrique pour des systèmes quasi-linéaires.) (French) Zbl 0840.35060 Am. J. Math. 117, No. 4, 987-1017 (1995). Reviewer: L.G.Vulkov (Russe) MSC: 35L60 35B40 PDFBibTeX XMLCite \textit{S. Alinhac}, Am. J. Math. 117, No. 4, 987--1017 (1995; Zbl 0840.35060) Full Text: DOI
Alinhac, Serge The lifespan and blow up behaviour of the solutions of quasilinear wave equations in two space dimensions. I. (Temps de vie et comportement explosif des solutions d’équations d’ondes quasi-linéaires en dimension deux. I.) (French) Zbl 0846.35103 Ann. Sci. Éc. Norm. Supér. (4) 28, No. 2, 225-251 (1995). Reviewer: V.A.Sava (Iaşi) MSC: 35Q35 35L05 35B40 PDFBibTeX XMLCite \textit{S. Alinhac}, Ann. Sci. Éc. Norm. Supér. (4) 28, No. 2, 225--251 (1995; Zbl 0846.35103) Full Text: DOI Numdam EuDML
Alinhac, Serge Approximation near the blow up time of the solutions of two-dimensional quasilinear wave equations. (Approximation près du temps d’explosion des solutions d’équations d’onde quasi-linéaires en dimension deux.) (French) Zbl 0870.35063 SIAM J. Math. Anal. 26, No. 3, 529-565 (1995). MSC: 35L40 35L60 78A05 PDFBibTeX XMLCite \textit{S. Alinhac}, SIAM J. Math. Anal. 26, No. 3, 529--565 (1995; Zbl 0870.35063) Full Text: DOI
Alinhac, Serge Blowup for nonlinear hyperbolic equations. (English) Zbl 0820.35001 Progress in Nonlinear Differential Equations and their Applications. 17. Boston: Birkhäuser. xiv, 112 p. (1995). Reviewer: S.Kichenassamy (Minneapolis) MSC: 35-02 35L67 35B20 35L70 35A20 PDFBibTeX XMLCite \textit{S. Alinhac}, Blowup for nonlinear hyperbolic equations. Boston: Birkhäuser (1995; Zbl 0820.35001)
Alinhac, S. Mechanism of explosion of classical solutions of one-dimensional hyperbolic systems. (Mécanisme d’explosion des solutions classiques de systèmes hyperboliques unidimensionnels.) (French) Zbl 0884.35088 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1994-1995, Exp. No. 6, 10 p. (1995). Reviewer: C.Popa (Iaşi) MSC: 35L60 35B40 PDFBibTeX XMLCite \textit{S. Alinhac}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 6, 10 p. (1995; Zbl 0884.35088) Full Text: Numdam EuDML
Alinhac, Serge; Baouendi, M. S.; Rothschild, Linda Preiss Flat analytic discs attached to real hypersurfaces of finite type. (English) Zbl 0840.32005 Math. Res. Lett. 1, No. 3, 359-367 (1994). Reviewer: I-Hsun Tsai (Taipei) MSC: 32H02 42A38 PDFBibTeX XMLCite \textit{S. Alinhac} et al., Math. Res. Lett. 1, No. 3, 359--367 (1994; Zbl 0840.32005) Full Text: DOI
Alinhac, S.; Baouendi, M. S. A counterexample to strong uniqueness for partial differential equations of Schrödinger’s type. (English) Zbl 0806.35023 Commun. Partial Differ. Equations 19, No. 9-10, 1727-1733 (1994). MSC: 35J15 35A07 PDFBibTeX XMLCite \textit{S. Alinhac} and \textit{M. S. Baouendi}, Commun. Partial Differ. Equations 19, No. 9--10, 1727--1733 (1994; Zbl 0806.35023) Full Text: DOI
Alinhac, Serge Lifespan and blow-up of solutions of the quasilinear wave equations in two dimensions. II. (Temps de vie et comportement explosif des solutions d’équations d’ondes quasi-linéaires en dimension deux. II.) (French) Zbl 0844.35102 Duke Math. J. 73, No. 3, 543-560 (1994). Reviewer: V.A.Sava (Iaşi) MSC: 35Q53 35L05 35B40 PDFBibTeX XMLCite \textit{S. Alinhac}, Duke Math. J. 73, No. 3, 543--560 (1994; Zbl 0844.35102) Full Text: DOI
Alinhac, S. Geometric explosion for quasilinear systems. (Explosion géométrique pour des systèmes quasi-linéaires.) (French) Zbl 0900.35228 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1993-1994, Exp. No. 1, 10 p. (1994). Reviewer: I.Vrabie (Iaşi) MSC: 35L60 35B40 PDFBibTeX XMLCite \textit{S. Alinhac}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 1, 10\,p. (1994; Zbl 0900.35228) Full Text: Numdam EuDML
Alinhac, Serge Lifespan of regular solutions for axisymmetric compressible Euler equations in two dimensions. (Temps de vie des solutions régulières des équations d’Euler compressible axisymétriques en dimension deux.) (French) Zbl 0798.35129 Invent. Math. 111, No. 3, 627-670 (1993). Reviewer: J.Vaillant (Paris) MSC: 35Q35 35B40 35B65 PDFBibTeX XMLCite \textit{S. Alinhac}, Invent. Math. 111, No. 3, 627--670 (1993; Zbl 0798.35129) Full Text: DOI EuDML
Alinhac, S. Lifespan and explosive solution of quasilinear wave equations in dimension two. (Temps de vie et comportement explosif des solutions d’équations d’ondes quasi-linéaires en dimension deux.) (French) Zbl 0878.35074 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau Sémin. 1992-1993, Exp. No. 3, 12 p. (1993). Reviewer: Satyanad Kichenassamy (Leipzig) MSC: 35L70 35L67 35B20 35A20 PDFBibTeX XMLCite \textit{S. Alinhac}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau, Exp. No. 3, 12 p. (1993; Zbl 0878.35074) Full Text: EuDML
Alinhac, Serge Une solution approchée en grand temps des equations d’Euler compressibles axisymétriques en dimension deux. (An approximate solution in large time of the compressible and axisymmetric two- dimensional Euler equations). (French) Zbl 0755.35089 Commun. Partial Differ. Equations 17, No. 3-4, 447-490 (1992). Reviewer: I.Vrabie (Iaşi) MSC: 35Q35 76N15 35K35 PDFBibTeX XMLCite \textit{S. Alinhac}, Commun. Partial Differ. Equations 17, No. 3--4, 447--490 (1992; Zbl 0755.35089)
Alinhac, S. Some remarks about the instability of the vortex patch problem. (English) Zbl 0831.35134 Murthy, M. K. V. (ed.) et al., Nonlinear hyperbolic equations and field theory. Papers from a workshop on nonlinear hyperbolic equations held in Varenna, Italy, 1990. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 253, 1-7 (1992). Reviewer: Š.Matušů-Nečasová MSC: 35Q35 76E15 PDFBibTeX XMLCite \textit{S. Alinhac}, Pitman Res. Notes Math. Ser. 253, 1--7 (1992; Zbl 0831.35134)
Alinhac, Serge; Gérard, Patrick Pseudo-differential operators and the Nash-Moser theorem. (Opérateurs pseudo-différentiels et théorème de Nash-Moser.) (French) Zbl 0791.47044 Savoirs Actuels. Paris: InterEditions. Paris: Editions du CNRS. 188 p. (1991). Reviewer: J.Alvarez (Las Cruces) MSC: 47G30 35S05 42B25 46F10 46F05 46-01 PDFBibTeX XMLCite \textit{S. Alinhac} and \textit{P. Gérard}, Opérateurs pseudo-différentiels et théorème de Nash-Moser. Paris: InterEditions; Paris: Editions du CNRS (1991; Zbl 0791.47044)
Alinhac, Serge Remarques sur l’instabilité du problème des poches de tourbillon. (Remarks on the instability of the vortex patch problem). (French) Zbl 0732.35075 J. Funct. Anal. 98, No. 2, 361-379 (1991). Reviewer: G.Pasa (Bucureşti) MSC: 35Q35 76U05 PDFBibTeX XMLCite \textit{S. Alinhac}, J. Funct. Anal. 98, No. 2, 361--379 (1991; Zbl 0732.35075) Full Text: DOI
Alinhac, Serge Approximation et temps de vie des solutions des équations d’Euler isentropiques en dimension deux d’espace. (Approximation and life time of solutions of the isentropic Euler equations in two space dimensions). (French) Zbl 0743.76061 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1990-1991, No.VII, 20 p. (1991). Reviewer: A.Carabineanu (Bucureşti) MSC: 76N10 35Q35 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, Serge; Baouendi, M. S.; Rothschild, Linda Preiss Unique continuation and regularity at the boundary for holomorphic functions. (English) Zbl 0718.32021 Duke Math. J. 61, No. 2, 635-653 (1990). Reviewer: R.M.Range (Albany) MSC: 32H40 PDFBibTeX XMLCite \textit{S. Alinhac} et al., Duke Math. J. 61, No. 2, 635--653 (1990; Zbl 0718.32021) Full Text: DOI
Alinhac, S. Un phénomène de concentration évanescente pour des flots non- stationnaires incompressibles en dimension deux. (A concentration- concellation phenomenon for nonstationary incompressible flows in two dimensions). (French) Zbl 0695.76018 Commun. Math. Phys. 127, No. 3, 585-596 (1990). MSC: 76D05 35Q30 PDFBibTeX XMLCite \textit{S. Alinhac}, Commun. Math. Phys. 127, No. 3, 585--596 (1990; Zbl 0695.76018) Full Text: DOI
Alinhac, S. Existence d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. (French) Zbl 0692.35063 Commun. Partial Differ. Equations 14, No. 2, 173-230 (1989). Reviewer: L.G.Vulkov MSC: 35L60 35A07 PDFBibTeX XMLCite \textit{S. Alinhac}, Commun. Partial Differ. Equations 14, No. 2, 173--230 (1989; Zbl 0692.35063) Full Text: DOI
Alinhac, Serge Unicité d’ondes de raréfaction pour des systèmes quasi-linéaires hyperboliques multidimensionnels. (Uniqueness of rarefaction waves for multidimensional quasilinear hyperbolic systems). (French) Zbl 0686.35072 Indiana Univ. Math. J. 38, No. 2, 345-363 (1989). Reviewer: D.Tataru MSC: 35L60 35L65 35L67 PDFBibTeX XMLCite \textit{S. Alinhac}, Indiana Univ. Math. J. 38, No. 2, 345--363 (1989; Zbl 0686.35072) Full Text: DOI
Alinhac, S. Ondes de raréfaction pour des systèmes quasilinéaires hyperboliques multidimensionnels. (Rarefaction waves for multidimensional quasilinear hyperbolic systems). (French) Zbl 0669.35070 Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1988, Exp. No. 8, 7 p. (1988). Reviewer: V.Georgiev MSC: 35L60 35F25 35L67 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. Interaction d’ondes simples pour des équations complètement non- linéaires. (Interaction of simple waves for completely nonlinear equations). (French) Zbl 0665.35051 Ann. Sci. Éc. Norm. Supér. (4) 21, No. 1, 91-132 (1988). Reviewer: P.Godin MSC: 35L75 35L67 35A20 35B40 35A30 PDFBibTeX XMLCite \textit{S. Alinhac}, Ann. Sci. Éc. Norm. Supér. (4) 21, No. 1, 91--132 (1988; Zbl 0665.35051) Full Text: DOI Numdam EuDML
Alinhac, S. Interaction d’ondes simples pour des équations complètement nonlineaires. (Interaction of simple waves for fully nonlinear equations). (French) Zbl 0727.35020 Hyperbolic equations, Proc. Conf., Padova/Italy 1985, Pitman Res. Notes Math. Ser. 158, 3-10 (1987). MSC: 35B65 35G20 35L65 PDFBibTeX XML
Alinhac, S. Existence d’ondes de rarefaction pour des écoulements isentropiques. (Existence of rarefaction waves for isentropic flows). (French) Zbl 0645.35060 Sémin., Équations Dériv. Partielles 1986-1987, Exp. No. 16, 16 p. (1987). MSC: 35L60 35L45 35B40 35B05 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. Evolution d’une onde simple pour des équations non-linéaires générales. (Evolution of a simple wave for general nonlinear equations). (French) Zbl 0629.35088 Current topics in partial differential equations, Pap. dedic. S. Mizohata Occas. 60th Birthday, 63-90 (1986). Reviewer: R.Salvi MSC: 35L75 35B40 35L25 PDFBibTeX XML
Alinhac, S. Interaction d’ondes simples pour des équations complètement non- linéaires. (Simple wave interaction for completely nonlinear equations). (French) Zbl 0608.35041 Sémin., Équations Dériv. Partielles 1985-1986, Exposé No. 8, 11 p. (1986). MSC: 35L75 35L67 35L30 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S.; Métivier, G. Propagation de l’analyticité locale pour les solutions de l’équation d’Euler. (Propagation of local analyticity for the solutions of the Euler equation). (French) Zbl 0606.76027 Arch. Ration. Mech. Anal. 92, 287-296 (1986). Reviewer: G.Warnecke MSC: 76B47 35L65 35L67 35S99 PDFBibTeX XMLCite \textit{S. Alinhac} and \textit{G. Métivier}, Arch. Ration. Mech. Anal. 92, 287--296 (1986; Zbl 0606.76027) Full Text: DOI
Alinhac, S. Paracomposition et opérateurs paradifferentiels. (Paracomposition and paradifferential operators). (French) Zbl 0596.47023 Commun. Partial Differ. Equations 11, 87-121 (1986). Reviewer: I.Gottlieb MSC: 47B38 35L75 46F10 46E35 47F05 PDFBibTeX XMLCite \textit{S. Alinhac}, Commun. Partial Differ. Equations 11, 87--121 (1986; Zbl 0596.47023) Full Text: DOI
Alinhac, S.; Metivier, G. Propagation of local analyticity for the Euler equation. (English) Zbl 0588.35073 Pseudodifferential operators and applications, Proc. Symp., Notre Dame/Indiana 1984, Proc. Symp. Pure Math. 43, 1-4 (1985). Reviewer: A.Doktor MSC: 35Q05 35B65 32D15 PDFBibTeX XML
Alinhac, S. Evolution d’une onde simple pour des équations non-linéaires générales. (Evolution of a simple wave for general nonlinear equations). (French) Zbl 0586.35005 Journ. Équ. Dériv. Partielles, Saint-Jean-De-Monts 1985, No. 1, Exp. No. 10, 7 p. (1985). Reviewer: G.Moroşanu MSC: 35B65 35G10 35K25 58J47 35G20 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. Paracomposition et application aux équations non-linéaires. (French) Zbl 0578.35010 Sémin. Bony-Sjöstrand-Meyer, Équations Dériv. Partielles 1984-1985, Exp. No. 11, 10 p. (1985). Reviewer: J.Janas MSC: 35G20 35L70 35B65 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. Unicité pour certains problèms de Cauchy non-linéaires, complexes, du premier ordre. (Uniqueness for certain first order nonlinear complex Cauchy problems). (French) Zbl 0577.35014 Sémin. Goulaouic-Meyer-Schwartz 1983-1984, Équat. dériv. part., Exposé No. 8, 9 p. (1984). Reviewer: S.G.Krantz MSC: 35F25 35G10 35K25 35A05 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. Uniqueness and non-uniqueness in the Cauchy problem. (English) Zbl 0574.35002 Microlocal analysis, Proc. Conf., Boulder/Colo. 1983, Contemp. Math. 27, 1-22 (1984). Reviewer: C.Zuily MSC: 35A07 PDFBibTeX XML
Alinhac, S.; Metivier, G. Propagation de l’analyticité des solutions d’équations non- linéaires de type principal. (French) Zbl 0566.35017 Commun. Partial Differ. Equations 9, No. 6, 523-537 (1984). Reviewer: O.Liess MSC: 35F25 35A20 PDFBibTeX XMLCite \textit{S. Alinhac} and \textit{G. Metivier}, Commun. Partial Differ. Equations 9, 523--537 (1984; Zbl 0566.35017) Full Text: DOI
Alinhac, S.; Metivier, G. Propagation of analyticity for solutions of nonlinear partial differential equations. (English) Zbl 0558.35007 Microlocal analysis, Proc. Conf., Boulder/Colo. 1983, Contemp. Math. 27, 75-81 (1984). Reviewer: S.Aizawa MSC: 35F20 35B65 35L25 35A20 PDFBibTeX XML
Alinhac, S.; Metivier, G. Propagation de l’analyticité locale pour l’équation d’Euler. (French) Zbl 0547.35022 Sémin. Goulaouic-Meyer-Schwartz 1983-1984, Équat. dériv. part., Exposé No. 16, 13 p. (1984). Reviewer: V.Iftimie MSC: 35F25 35A20 35S05 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S.; Métivier, G. Propagation de l’analyticité des solutions de systèmes hyperboliques non-linéaires. (French) Zbl 0545.35063 Invent. Math. 75, 189-204 (1984). MSC: 35L75 35A20 35B40 35L60 PDFBibTeX XMLCite \textit{S. Alinhac} and \textit{G. Métivier}, Invent. Math. 75, 189--204 (1984; Zbl 0545.35063) Full Text: DOI EuDML
Alinhac, Serge Unicité du problème de Cauchy pour des opérateurs du second ordre à symboles réels. (French) Zbl 0507.35001 Ann. Inst. Fourier 34, No. 2, 89-109 (1984). MSC: 35A07 35G05 32T99 PDFBibTeX XMLCite \textit{S. Alinhac}, Ann. Inst. Fourier 34, No. 2, 89--109 (1984; Zbl 0507.35001) Full Text: DOI Numdam EuDML
Alinhac, S. Unicité du problème de Cauchy pour des opérateurs du second ordre à symbole réel. (French) Zbl 0544.35022 Sémin. Goulaouic-Meyer-Schwartz 1982-1983, Équat. dériv. part., Exposé No. 3, 8 p. (1983). Reviewer: S.Tajima MSC: 35G10 32T99 35A05 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. Non-unicité du problème de Cauchy. (French) Zbl 0516.35018 Ann. Math. (2) 117, 77-108 (1983). MSC: 35G10 78A05 35A05 PDFBibTeX XMLCite \textit{S. Alinhac}, Ann. Math. (2) 117, 77--108 (1983; Zbl 0516.35018) Full Text: DOI
Alinhac, S. Forte unicité pour des inégalités différentielles. (French) Zbl 0486.35082 Nonlinear partial differential equations and their applications, Coll. de France Semin., Vol. II, Res. Notes Math. 60, 1-10 (1982). MSC: 35R45 35A05 35J30 PDFBibTeX XML Full Text: EuDML
Alinhac, S. Non-unicité du problème de Cauchy pour des opérateurs de type principal. (French) Zbl 0495.35009 Sémin. Goulaouic-Meyer-Schwartz 1980-1981, Équat. dériv. part., Exposé No. 16, 8 p. (1981). MSC: 35B30 35R35 35G10 58J47 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. Opérateurs elliptiques et problème de Cauchy. (French) Zbl 0491.35024 Journ. Équ. Dériv. Partielles, Saint-Jean-de-Monts 1981, Exp. No. 7, 5 p. (1981). MSC: 35B60 35J99 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S.; Zuily, C. Unicité et non unicité du problème de Cauchy pour des opérateurs hyperboliques à characteristiques doubles. (French) Zbl 0482.35052 Commun. Partial Differ. Equations 6, 799-828 (1981). MSC: 35L15 35A05 PDFBibTeX XMLCite \textit{S. Alinhac} and \textit{C. Zuily}, Commun. Partial Differ. Equations 6, 799--828 (1981; Zbl 0482.35052) Full Text: DOI
Alinhac, S.; Lerner, N. Unicité forte à partir d’une variété de dimension quelconque pour des inégalités différentielles elliptiques. (French) Zbl 0459.35095 Duke Math. J. 48, 49-68 (1981). MSC: 35R45 35A05 35J99 PDFBibTeX XMLCite \textit{S. Alinhac} and \textit{N. Lerner}, Duke Math. J. 48, 49--68 (1981; Zbl 0459.35095) Full Text: DOI
Alinhac, S. Non-unicité pour des opérateurs à caractéristiques simples. (French) Zbl 0473.35004 Sémin. Goulaouic-Schwartz 1979-1980, Équat. dériv. part., Exposé No. 4, 6 p. (1980). MSC: 35A07 35A30 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. Equations différentielles: étude asymptotique: applications aux équations aux dérivées partielles. (French) Zbl 0469.34035 Publ. Math. Orsay 80.04, 145 p. (1980). MSC: 34D05 34C05 34-01 35C20 PDFBibTeX XML
Alinhac, S. Non-unicité pour des opérateurs différentiels à caractéristiques complexes simples. (French) Zbl 0456.35002 Ann. Sci. Éc. Norm. Supér. (4) 13, 385-393 (1980). MSC: 35A05 35A30 PDFBibTeX XMLCite \textit{S. Alinhac}, Ann. Sci. Éc. Norm. Supér. (4) 13, 385--393 (1980; Zbl 0456.35002) Full Text: DOI Numdam EuDML
Alinhac, S.; Zuily, C. Unicité et non unicité du problème de Cauchy pour des opérateurs hyperboliques à caractéristiques doubles. (French) Zbl 0445.35070 Journ. Équ. Dériv. Partielles, Saint-Jean-de-Monts 1980, Exp. No. 1, 5 p. (1980). MSC: 35L15 35A05 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S.; Lerner, N. Unicité forte à partir d’une variété de dimension quelconque pour des inégalités différentielles elliptiques. (French) Zbl 0439.35024 Sémin. Goulaouic-Schwartz 1979-1980, Équat. dériv. part., Exposé No. 20, 9 p. (1980). MSC: 35J15 35R45 35A05 58J10 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S.; Baouendi, M. S. Uniqueness for the characteristic Cauchy problem and strong unique continuation for higher order partial differential inequalities. (English) Zbl 0425.35098 Am. J. Math. 102, 179-217 (1980). MSC: 35R45 35A30 PDFBibTeX XMLCite \textit{S. Alinhac} and \textit{M. S. Baouendi}, Am. J. Math. 102, 179--217 (1980; Zbl 0425.35098) Full Text: DOI
Alinhac, S.; Baouendi, M. S. Construction de solutions nulles et singulières pour des opérateurs de type principal. (French) Zbl 0427.35082 Sémin. Goulaouic-Schwartz 1978-1979, Équat. dériv. part., Exposé No. 22, 6 p. (1979). MSC: 35S05 35R20 35A20 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S.; Baouendi, M. S. Unicité forte pour des opérateurs elliptiques: Inégalités et contre- exemples. (French) Zbl 0418.35077 Journ. Équ. Dériv. Partielles, Saint-Cast 1979, Exp. No. 2, 2 p. (1979). MSC: 35R20 35A10 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. On the reduction of pseudo-differential operators to canonical forms. (English) Zbl 0368.58011 J. Differ. Equations 31, 165-182 (1979). MSC: 58J40 PDFBibTeX XMLCite \textit{S. Alinhac}, J. Differ. Equations 31, 165--182 (1979; Zbl 0368.58011) Full Text: DOI
Alinhac, S. Branching of singularities for a class of hyperbolic operators. (English) Zbl 0502.35058 Indiana Univ. Math. J. 27, 1027-1037 (1978). MSC: 35L40 35L67 PDFBibTeX XMLCite \textit{S. Alinhac}, Indiana Univ. Math. J. 27, 1027--1037 (1978; Zbl 0502.35058) Full Text: DOI
Alinhac, Serge Solution explicite du problème de Cauchy pour des opérateurs effectivement hyperboliques. (French) Zbl 0398.35061 Duke Math. J. 45, 225-258 (1978). MSC: 35L30 35S05 35E05 PDFBibTeX XMLCite \textit{S. Alinhac}, Duke Math. J. 45, 225--258 (1978; Zbl 0398.35061) Full Text: DOI
Alinhac, S. A class of hyperbolic operators with double involutive characteristics of Fuchsian type. (English) Zbl 0389.35049 Commun. Partial Differ. Equations 3, 877-905 (1978). MSC: 35S10 35L60 53C15 PDFBibTeX XMLCite \textit{S. Alinhac}, Commun. Partial Differ. Equations 3, 877--905 (1978; Zbl 0389.35049) Full Text: DOI
Alinhac, S.; Baouendi, M. S. Unicité pour le problème de Cauchy à partir d’une surface partout caractéristique; applications. (French) Zbl 0381.35072 Sémin. Goulaouic-Schwartz 1977-1978, Équat. dériv. part. Anal. fonct., Exposé No. 364, 8 p. (1978). MSC: 35S10 35B30 35B45 35B65 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. Solution explicite du problème de Cauchy pour un opérateur hyperbolique à caractéristiques non régulières. (French) Zbl 0361.35040 Sémin. Goulaouic-Schwartz 1976-1977, Équat. dériv. part. Anal. fonct., Exposé No.XVII, 10 p. (1977). MSC: 35L15 35C05 65H10 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, Serge Paramètrix pour un système hyperbolique à multiplicité variable. (French) Zbl 0355.35057 Commun. Partial Differ. Equations 2, 251-296 (1977). MSC: 35L45 35E05 35S05 PDFBibTeX XMLCite \textit{S. Alinhac}, Commun. Partial Differ. Equations 2, 251--296 (1977; Zbl 0355.35057) Full Text: DOI
Alinhac, S. Le problème de Goursat hyperbolique en dimension deux. (French) Zbl 0348.35066 Commun. Partial Differ. Equations 1, 231-282 (1976). MSC: 35L35 35L50 35A05 PDFBibTeX XMLCite \textit{S. Alinhac}, Commun. Partial Differ. Equations 1, 231--282 (1976; Zbl 0348.35066) Full Text: DOI
Alinhac, S. Paramètrix et propagation des singularites pour un problème de Cauchy à multiplicité variable. (French) Zbl 0345.35065 Astérisque 34-35, 3-26 (1976). MSC: 35L15 35M99 35B99 35A99 PDFBibTeX XMLCite \textit{S. Alinhac}, Astérisque 34--35, 3--26 (1976; Zbl 0345.35065) Full Text: EuDML
Alinhac, S. Inégalités \(L^2\) pour un problème de Goursat. (French) Zbl 0342.35034 Sémin. Goulaouic-Schwartz 1975-1976, Équat. dériv. part. Anal. fonct., Exposé No.II, 9 p. (1976). MSC: 35L35 35S15 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, S. Paramètrix pour un problème de Cauchy hyperbolique à multiplicité variable. (French) Zbl 0338.58018 Sémin. Goulaouic-Schwartz 1975-1976, Équat. dériv. part. Anal. fonct., Exposé No.XXI, 9 p. (1976). MSC: 58J40 35C05 35L15 35L45 35S10 47Gxx PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, Serge Caractérisation d’espaces de fonctions analytiques et non quasi- analytiques sur une variété à bord. (French) Zbl 0321.46024 Sem. Bourbaki 1973/74, Expose 442, Lect. Notes Math. 431, 115-123 (1975). MSC: 46E35 46E15 47F05 PDFBibTeX XML Full Text: Numdam EuDML
Alinhac, Serge Systemes hyperboliques singuliers. (French) Zbl 0324.35059 Astérisque 19, 3-24 (1974). MSC: 35L45 35A05 PDFBibTeX XMLCite \textit{S. Alinhac}, Astérisque 19, 3--24 (1974; Zbl 0324.35059)
Alinhac, S. Problèmes hyperboliques singuliers. (French) Zbl 0322.35052 Sémin. Goulaouic-Schwartz 1973-1974, Équat. dériv. part. Analyse fonct., Exposé VIII, 9 p. (1974). MSC: 35L25 35L35 PDFBibTeX XML Full Text: Numdam EuDML