Edit Profile (opens in new tab) Grigis, Alain Compute Distance To: Compute Author ID: grigis.alain Published as: Grigis, Alain; Grigis, A. Documents Indexed: 45 Publications since 1975, including 1 Book Co-Authors: 17 Co-Authors with 24 Joint Publications 397 Co-Co-Authors all top 5 Co-Authors 21 single-authored 4 Balint, Agneta Maria 4 Balint, Stefan 4 Kaslik, Eva 4 Martinez, André 3 Buslaev, Vladimir Savel’evich 3 Morame, Abderemane 3 Sjöstrand, Johannes 2 Duyckaerts, Thomas 2 Rothschild, Linda Preiss 1 Boutet de Monvel, Louis 1 Buslaeva, M. V. 1 Dartois, Ghislain 1 Gérard, Christian 1 Helffer, Bernard 1 Klopp, Frédéric 1 Lascar, Richard 1 Schapira, Pierre all top 5 Serials 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Séminaire Équations aux Dérivées Partielles 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Communications in Partial Differential Equations 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Nonlinear Studies 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 American Journal of Mathematics 1 Bulletin de la Société Mathématique de France 1 Journal of Differential Equations 1 Journal of Mathematics of Kyoto University 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Discrete & Computational Geometry 1 Asymptotic Analysis 1 St. Petersburg Mathematical Journal 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Advances in Difference Equations 1 London Mathematical Society Lecture Note Series 1 Analysis & PDE 1 Journal of Spectral Theory all top 5 Fields 28 Partial differential equations (35-XX) 8 Ordinary differential equations (34-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Quantum theory (81-XX) 6 Operator theory (47-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 3 Systems theory; control (93-XX) 2 Topological groups, Lie groups (22-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 291 times in 246 Documents Cited by ▼ Year ▼ Microlocal analysis for differential operators. An introduction. Zbl 0804.35001Grigis, Alain; Sjöstrand, Johannes 92 1994 Front d’onde analytique et sommes de carrés de champs de vecteurs. Zbl 0581.35009Grigis, A.; Sjöstrand, J. 32 1985 Paramètrixes d’opérateurs pseudodifferentiels à caractéristiques multiples. Zbl 0344.32009Boutet de Monvel, Louis; Grigis, Alain; Helffer, Bernard 29 1976 Precise estimates for tunneling and eigenvalues near a potential barrier. Zbl 0668.34022Gerard, C.; Grigis, A. 25 1988 Estimations asymptotiques des intervalles d’instabilité pour l’équation de Hill. (Asymptotic estimates for the intervals of unstability for the Hill equation). Zbl 0644.34021Grigis, Alain 15 1987 A criterion for analytic hypoellipticity of a class of differential operators with polynomial coefficients. Zbl 0541.35017Grigis, Alain; Rothschild, Linda Preiss 10 1983 Hypoellipticite et paramètrix pour des opérateurs pseudodifferentiels à caractéristiques doubles. Zbl 0344.35019Grigis, Alain 9 1976 \(L^ 2\) estimates for the boundary Laplacian operator on hypersurfaces. Zbl 0675.35064Grigis, Alain; Rothschild, Linda Preiss 8 1988 Imagrinary parts of Stark-Wannier resonances. Zbl 1001.34075Buslaev, Vladimir; Grigis, Alain 8 1998 Turning points for adiabatically perturbed periodic equations. Zbl 0987.35013Buslaev, Vladimir; Grigis, Alain 7 2001 Resonance widths for the molecular predissociation. Zbl 1322.35102Grigis, Alain; Martinez, André 5 2014 Control procedures using domains of attraction. Zbl 1224.93063Kaslik, E.; Balint, A. M.; Grigis, A.; Balint, St. 5 2005 Methods for determination and approximation of the domain of attraction in the case of autonomous discrete dynamical systems. Zbl 1134.39013Balint, St.; Kaslik, E.; Balint, A. M.; Grigis, A. 5 2006 Propagation des singularites pour des opérateurs pseudodifferentiels à caractéristiques doubles. Zbl 0432.35082Grigis, Alain 4 1979 Triangulation of the 4-dimensional torus. (Triangulation du tore de dimension 4.) Zbl 0898.52005Grigis, Alain 4 1998 Eigenvalues and resonance in the neighborhood of a threshold. (Valeurs propres et résonances au voisinage d’un seuil.) Zbl 0879.35118Grigis, Alain; Klopp, Frédéric 3 1996 Delaunay triangulation and triangulation of tori. (Triangulation de Delaunay et triangulation des tores.) Zbl 1187.57023Grigis, Alain 3 2009 Resonance widths for general Helmholtz resonators with straight neck. Zbl 1366.81167Duyckaerts, Thomas; Grigis, Alain; Martinez, André 3 2016 The controllability of the “path capture” and “steady descent” flight of ALFLEX. Zbl 1096.93023Kaslik, E.; Balint, A. M.; Grigis, A.; Balint, Şt. 2 2004 Propagation des singularites sur des groupes de Lie nilpotents de rang 2. II. Zbl 0518.58039Grigis, A. 2 1982 Sur l’équation de Hill analytique. Zbl 0567.34023Grigis, A. 2 1985 Resonance widths in a case of multidimensional phase space tunneling. Zbl 1309.35096Grigis, Alain; Martinez, André 2 2015 Propagation des singularites au bord d’ouverts de \(C^ n\). Zbl 0472.58021Grigis, A. 2 1981 Propagation des singularites le long de courbes microbicaractéristiques pour des opérateurs pseudodifferentiels à caractéristiques doubles. I. Zbl 0494.35088Grigis, A. 2 1982 Equations locales d’un système de sous-variétés involutives. Zbl 0332.53022Grigis, Alain; Lascar, Richard 2 1976 Separating maps of the lattice \(E_8\) and triangulations of the eight-dimensional torus. Zbl 0983.57016Dartois, G.; Grigis, A. 2 2000 On the controllability of some steady states in the case of nonlinear discrete dynamical systems with control. Zbl 1083.93004Kaslik, E.; Balint, A. M.; Grigis, A.; Balint, St. 1 2005 Adiabatic asymptotics of the reflection coefficient. Zbl 1084.34026Buslaev, V. S.; Buslaeva, M. V.; Grigis, A. 1 2005 Estimations asymptotiques des valeurs propres de l’équation de Hill polynômiale. (Asymptotic estimates for the eigenvalues of the polynomial Hill’s equation). Zbl 0602.34016Grigis, A. 1 1986 Propagation de singularites analytiques pour des opérateurs à caractéristiques multiples. Zbl 0475.58018Grigis, Alain; Schapira, Pierre; Sjoestrand, Johannes 1 1981 L’indice d’un tour du cavalier. (The index for the knight’s tour). Zbl 1012.05054Grigis, Alain 1 2002 Caractérisation d’opérateurs pseudodifferentiels et applications. (d’apres R. Beals). Zbl 0342.35057Grigis, A. 1 1976 Finiteness of lacunae in the spectrum of the Schrödinger operator and that of Dirac with periodic magnetic and electric potentials. (Finitude des lacunes dans le spectre de l’opérateur de Schrödinger et de celui de Dirac avec des potentiels electrique et magnétique périodiques.) Zbl 0814.47056Grigis, Alain; Mohamed, Abderemane 1 1993 Finiteness results for spectral gaps. (Résultats de finitude pour les lacunes spectrales.) Zbl 0872.35074Grigis, A.; Mohamed, A. 1 1993 Resonance widths for general Helmholtz resonators with straight neck. Zbl 1366.81167Duyckaerts, Thomas; Grigis, Alain; Martinez, André 3 2016 Resonance widths in a case of multidimensional phase space tunneling. Zbl 1309.35096Grigis, Alain; Martinez, André 2 2015 Resonance widths for the molecular predissociation. Zbl 1322.35102Grigis, Alain; Martinez, André 5 2014 Delaunay triangulation and triangulation of tori. (Triangulation de Delaunay et triangulation des tores.) Zbl 1187.57023Grigis, Alain 3 2009 Methods for determination and approximation of the domain of attraction in the case of autonomous discrete dynamical systems. Zbl 1134.39013Balint, St.; Kaslik, E.; Balint, A. M.; Grigis, A. 5 2006 Control procedures using domains of attraction. Zbl 1224.93063Kaslik, E.; Balint, A. M.; Grigis, A.; Balint, St. 5 2005 On the controllability of some steady states in the case of nonlinear discrete dynamical systems with control. Zbl 1083.93004Kaslik, E.; Balint, A. M.; Grigis, A.; Balint, St. 1 2005 Adiabatic asymptotics of the reflection coefficient. Zbl 1084.34026Buslaev, V. S.; Buslaeva, M. V.; Grigis, A. 1 2005 The controllability of the “path capture” and “steady descent” flight of ALFLEX. Zbl 1096.93023Kaslik, E.; Balint, A. M.; Grigis, A.; Balint, Şt. 2 2004 L’indice d’un tour du cavalier. (The index for the knight’s tour). Zbl 1012.05054Grigis, Alain 1 2002 Turning points for adiabatically perturbed periodic equations. Zbl 0987.35013Buslaev, Vladimir; Grigis, Alain 7 2001 Separating maps of the lattice \(E_8\) and triangulations of the eight-dimensional torus. Zbl 0983.57016Dartois, G.; Grigis, A. 2 2000 Imagrinary parts of Stark-Wannier resonances. Zbl 1001.34075Buslaev, Vladimir; Grigis, Alain 8 1998 Triangulation of the 4-dimensional torus. (Triangulation du tore de dimension 4.) Zbl 0898.52005Grigis, Alain 4 1998 Eigenvalues and resonance in the neighborhood of a threshold. (Valeurs propres et résonances au voisinage d’un seuil.) Zbl 0879.35118Grigis, Alain; Klopp, Frédéric 3 1996 Microlocal analysis for differential operators. An introduction. Zbl 0804.35001Grigis, Alain; Sjöstrand, Johannes 92 1994 Finiteness of lacunae in the spectrum of the Schrödinger operator and that of Dirac with periodic magnetic and electric potentials. (Finitude des lacunes dans le spectre de l’opérateur de Schrödinger et de celui de Dirac avec des potentiels electrique et magnétique périodiques.) Zbl 0814.47056Grigis, Alain; Mohamed, Abderemane 1 1993 Finiteness results for spectral gaps. (Résultats de finitude pour les lacunes spectrales.) Zbl 0872.35074Grigis, A.; Mohamed, A. 1 1993 Precise estimates for tunneling and eigenvalues near a potential barrier. Zbl 0668.34022Gerard, C.; Grigis, A. 25 1988 \(L^ 2\) estimates for the boundary Laplacian operator on hypersurfaces. Zbl 0675.35064Grigis, Alain; Rothschild, Linda Preiss 8 1988 Estimations asymptotiques des intervalles d’instabilité pour l’équation de Hill. (Asymptotic estimates for the intervals of unstability for the Hill equation). Zbl 0644.34021Grigis, Alain 15 1987 Estimations asymptotiques des valeurs propres de l’équation de Hill polynômiale. (Asymptotic estimates for the eigenvalues of the polynomial Hill’s equation). Zbl 0602.34016Grigis, A. 1 1986 Front d’onde analytique et sommes de carrés de champs de vecteurs. Zbl 0581.35009Grigis, A.; Sjöstrand, J. 32 1985 Sur l’équation de Hill analytique. Zbl 0567.34023Grigis, A. 2 1985 A criterion for analytic hypoellipticity of a class of differential operators with polynomial coefficients. Zbl 0541.35017Grigis, Alain; Rothschild, Linda Preiss 10 1983 Propagation des singularites sur des groupes de Lie nilpotents de rang 2. II. Zbl 0518.58039Grigis, A. 2 1982 Propagation des singularites le long de courbes microbicaractéristiques pour des opérateurs pseudodifferentiels à caractéristiques doubles. I. Zbl 0494.35088Grigis, A. 2 1982 Propagation des singularites au bord d’ouverts de \(C^ n\). Zbl 0472.58021Grigis, A. 2 1981 Propagation de singularites analytiques pour des opérateurs à caractéristiques multiples. Zbl 0475.58018Grigis, Alain; Schapira, Pierre; Sjoestrand, Johannes 1 1981 Propagation des singularites pour des opérateurs pseudodifferentiels à caractéristiques doubles. Zbl 0432.35082Grigis, Alain 4 1979 Paramètrixes d’opérateurs pseudodifferentiels à caractéristiques multiples. Zbl 0344.32009Boutet de Monvel, Louis; Grigis, Alain; Helffer, Bernard 29 1976 Hypoellipticite et paramètrix pour des opérateurs pseudodifferentiels à caractéristiques doubles. Zbl 0344.35019Grigis, Alain 9 1976 Equations locales d’un système de sous-variétés involutives. Zbl 0332.53022Grigis, Alain; Lascar, Richard 2 1976 Caractérisation d’opérateurs pseudodifferentiels et applications. (d’apres R. Beals). Zbl 0342.35057Grigis, A. 1 1976 all cited Publications top 5 cited Publications all top 5 Cited by 279 Authors 13 Helffer, Bernard 12 Sjöstrand, Johannes 11 Grigis, Alain 10 Mughetti, Marco 9 Bove, Antonio 8 Derridj, Makhlouf 7 Djakov, Plamen B. 7 Himonas, A. Alexandrou 6 Dyatlov, Semyon 6 Fujiié, Setsuro 6 Mityagin, Boris Samuilovich 6 Tartakoff, David S. 5 Hsiao, Chin-Yu 5 Petronilho, Gerson 5 Ramond, Thierry 4 Albano, Paolo 4 Balint, Stefan 4 Coriasco, Sandro 4 Guillarmou, Colin 4 Maniccia, Lidia 4 Martinez, André 4 Ramacher, Pablo 3 Balint, Agneta Maria 3 Chinni, Gregorio 3 Hanges, Nicholas William 3 Kaslik, Eva 3 Nicola, Fabio 3 Rosenberger, Elke 3 Sordoni, Vania 3 Watanabe, Takuya 2 Beals, Richard W. 2 Brehm, Ulrich 2 Brouder, Christian 2 Buslaev, Vladimir Savel’evich 2 Carvalho dos Santos, L. A. 2 Chen, Guoyuan 2 Christ, Michael 2 Cornean, Horia D. 2 Gaveau, Bernard 2 Gérard, Christian 2 Greiner, Peter C. 2 Hager, Mildred 2 Henry, Raphaël 2 Herrmann, Hendrik 2 Jensen, Arne 2 Kamvissis, Spyridon 2 Kannai, Yakar 2 Klein, Markus 2 Koenig, Kenneth D. 2 Kühnel, Wolfgang 2 Le Rousseau, Jérôme H. 2 Léautaud, Matthieu 2 Lesch, Matthias 2 Li, Xiaoshan 2 Morame, Abderemane 2 Müller, Detlef 2 Muller, Kaitlyn 2 Nedelec, Laurence 2 Nenciu, Gheorghe 2 Nourrigat, Jean Francois 2 Palacios, Benjamín 2 Peloso, Marco Maria 2 Perel, Maria V. 2 Pflaum, Markus J. 2 Purice, Radu 2 Rothschild, Linda Preiss 2 Schulz, René M. 2 Wittsten, Jens 2 Zelditch, Steve 2 Zerzeri, Maher 2 Zhang, Jihui 1 Aksenova, E. V. 1 Alexandrova, Ivana 1 Anahtarci, Berkay 1 Ascanelli, Alessia 1 Asch, Joachim 1 Ashida, Sohei 1 Assal, Marouane 1 Avetisyan, Zhirayr G. 1 Babich, Vasiliĭ Mikhaĭlovich 1 Bacha, Anis Belhadj Brahim 1 Baklouti, Hamadi 1 Bal, Guillaume 1 Baskin, Dean 1 Bellet, Jean-Baptiste 1 Ben Moussa, Benoît 1 Benettin, Giancarlo 1 Benhadj Braiek, Naceur 1 Berginc, Gérard 1 Berman, Robert J. 1 Berndtsson, Bo 1 Bernig, Andreas 1 Bolte, Jens 1 Bony, Jean-Michel 1 Booss-Bavnbek, Bernhelm 1 Bordeaux Montrieux, William 1 Borsero, Massimo 1 Bourget, Olivier 1 Boussekkine, Naima 1 Brake, Dani A. ...and 179 more Authors all top 5 Cited in 99 Serials 15 Journal of Functional Analysis 10 Communications in Mathematical Physics 10 Communications in Partial Differential Equations 8 Journal of Mathematical Physics 8 Annales de l’Institut Fourier 7 Journal of Differential Equations 7 Transactions of the American Mathematical Society 7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 7 Journal of Pseudo-Differential Operators and Applications 6 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Duke Mathematical Journal 5 The Journal of Geometric Analysis 5 St. Petersburg Mathematical Journal 5 Annales Henri Poincaré 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Advances in Mathematics 4 Mathematische Zeitschrift 3 Journal of Mathematical Analysis and Applications 3 Reviews in Mathematical Physics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Bulletin de la Société Mathématique de France 3 Journal für die Reine und Angewandte Mathematik 3 Memoirs of the American Mathematical Society 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Journal of the American Mathematical Society 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Inverse Problems and Imaging 3 Journal of Spectral Theory 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Arkiv för Matematik 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Inventiones Mathematicae 2 Mathematische Nachrichten 2 Proceedings of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 International Journal of Mathematics 2 Geometric and Functional Analysis. GAFA 2 SIAM Journal on Mathematical Analysis 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Journal of Mathematical Sciences (New York) 2 The Journal of Fourier Analysis and Applications 2 Acta Mathematica Sinica. English Series 2 Bulletin de la Société Mathématique de France. Supplément. Mémoires 2 Analysis and Mathematical Physics 2 Complex Analysis and its Synergies 1 Inverse Problems 1 Journal of the Franklin Institute 1 Letters in Mathematical Physics 1 Physics Reports 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Journal of Geometry and Physics 1 Beiträge zur Algebra und Geometrie 1 Applied Mathematics and Computation 1 Automatica 1 Functional Analysis and its Applications 1 Geometriae Dedicata 1 Journal of Approximation Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Kybernetika 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 Proceedings of the Japan Academy. Series A 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Neural Computation 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Expositiones Mathematicae 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 Journal of Inverse and Ill-Posed Problems 1 The Electronic Journal of Combinatorics 1 Bulletin des Sciences Mathématiques 1 Integral Transforms and Special Functions 1 Discrete and Continuous Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 DGDS. Differential Geometry – Dynamical Systems 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 SIAM Journal on Imaging Sciences 1 MathematicS In Action 1 Bulletin of Mathematical Sciences 1 Arabian Journal for Science and Engineering all top 5 Cited in 41 Fields 155 Partial differential equations (35-XX) 53 Quantum theory (81-XX) 45 Operator theory (47-XX) 34 Ordinary differential equations (34-XX) 31 Global analysis, analysis on manifolds (58-XX) 24 Several complex variables and analytic spaces (32-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Differential geometry (53-XX) 7 Functional analysis (46-XX) 7 Systems theory; control (93-XX) 6 Topological groups, Lie groups (22-XX) 5 Convex and discrete geometry (52-XX) 5 Numerical analysis (65-XX) 5 Optics, electromagnetic theory (78-XX) 5 Relativity and gravitational theory (83-XX) 4 Functions of a complex variable (30-XX) 4 Integral transforms, operational calculus (44-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Approximations and expansions (41-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year