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Author ID: helffer.bernard Recent zbMATH articles by "Helffer, Bernard"
Published as: Helffer, Bernard; Helffer, B.
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all top 5

Co-Authors

69 single-authored
31 Sjöstrand, Johannes
22 Hoffmann-Ostenhof, Thomas
19 Bérard, Pierre H.
16 Bolley, Catherine
16 Kachmar, Ayman
16 Robert, Didier
15 Nourrigat, Jean Francois
14 Fournais, Søren
13 Almog, Yaniv
11 Kordyukov, Yuri A.
10 Sundqvist, Mikael Persson
8 Siedentop, Heinz Karl Heinrich
7 Bonnaillie-Noël, Virginie
7 Pan, Xingbin
6 Cornean, Horia D.
6 Morame, Abderemane
6 Purice, Radu
5 Bolley, Pierre
5 Camus, Jacques
5 Grebenkov, Denis S.
4 Barbaroux, Jean-Marie
4 Nier, Francis
4 Raymond, Nicolas
3 Derridj, Makhlouf
3 Gittins, Katie
3 Hoffmann-Ostenhof, Maria
3 Kiwan, Rola
3 Terracini, Susanna
3 Zuily, Claude
2 Bach, Volker
2 Belaud, Yves
2 Bodineau, Thierry
2 Charron, Philippe
2 Dauge, Monique
2 Henry, Raphaël
2 Lafitte, Olivier D.
2 Martinez, André
2 Nadirashvili, Nikolai S.
2 Nourrigat, F.
2 Pankrashkin, Konstantin
2 Ramond, Thierry
2 Rodino, Luigi
2 Véron, Laurent
2 Wang, Xue Ping
1 Aftalion, Amandine
1 Ancona, Alano
1 Assaad, Wafaa
1 Averous, Genevieve
1 Balslev, Erik
1 Beauchard, Karine
1 Bérard Bergery, Lionel
1 Bourguignon, Jean-Pierre
1 Boutet de Monvel, Louis
1 Calabi, Eugenio
1 Chanillo, Sagun
1 Connes, Alain
1 Corwin, Lawrence J.
1 Damlakhi, Moustafa K.
1 Daudé, Thierry
1 Deschamps, Annie
1 Dutour-Sikiric, Mathieu
1 El Houakmi, Z.
1 Ezin, Jean-Pierre
1 Farkas, Walter
1 Foucher, Françoise
1 Frank, Rupert L.
1 Gallot, Sylvestre
1 Grigis, Alain
1 Haslinger, Friedrich
1 Ignat, Radu
1 Jauberteau, François
1 Kannai, Yakar
1 Karaki, Zeinab
1 Kerdelhué, Philippe
1 Kerdelhué, Phillippe
1 Klein, Markus
1 Knauf, Andreas
1 Kovařík, Hynek
1 Laleg-Kirati, Taous-Meriem
1 Laptev, Ari
1 Léautaud, Matthieu
1 Léna, Corentin
1 Liu, Qinghui
1 Mattera, Claude
1 Moutal, Nicolas
1 Nicoleau, François
1 Owen, Mark P.
1 Owen, Markus Roger
1 Parisse, Bernard
1 Pham the Lai
1 Polombo, Albert
1 Qu, Yanhui
1 Robbiano, Luc
1 Rothschild, Linda Preiss
1 Royo-Letelier, Jimena
1 Vial, Grégory
1 Viola, Joe
1 Vũ Ngọc, San
1 Weikard, Rudi
1 Weissler, Fred B.
...and 2 more Co-Authors
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Serials

13 Communications in Mathematical Physics
12 Journal of Functional Analysis
12 Communications in Partial Differential Equations
8 Asymptotic Analysis
8 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
7 Annales de l’Institut Fourier
7 Mémoires de la Société Mathématique de France. Nouvelle Série
7 Annales de l’Institut Henri Poincaré. Physique Théorique
6 Reviews in Mathematical Physics
5 Letters in Mathematical Physics
5 Transactions of the American Mathematical Society
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Archive for Rational Mechanics and Analysis
4 Gazette des Mathématiciens
4 Journal of Differential Equations
4 SIAM Journal on Mathematical Analysis
4 Séminaire Équations aux Dérivées Partielles
4 Documenta Mathematica
4 Moscow Mathematical Journal
4 Journal of Spectral Theory
4 Annales Mathématiques du Québec
3 Journal of Mathematical Physics
3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
3 European Journal of Applied Mathematics
3 Bulletin de la Société Mathématique de France. Supplément. Mémoires
2 Helvetica Physica Acta
2 Journal d’Analyse Mathématique
2 American Journal of Mathematics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Duke Mathematical Journal
2 Proceedings of the American Mathematical Society
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Calculus of Variations and Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 St. Petersburg Mathematical Journal
2 Nonlinear Studies
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Journal of the European Mathematical Society (JEMS)
2 Annales Henri Poincaré
2 Portugaliae Mathematica. Nova Série
2 Astérisque
2 Lecture Notes in Mathematics
2 Journal of Physics A: Mathematical and Theoretical
1 Communications on Pure and Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Arkiv för Matematik
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Colloquium Mathematicum
1 Indiana University Mathematics Journal
1 Integral Equations and Operator Theory
1 Inventiones Mathematicae
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Mathematica Scandinavica
1 Mathematische Zeitschrift
1 Mathematika
1 Monatshefte für Mathematik
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Rendiconti del Seminario Matematico
1 Advances in Applied Mathematics
1 Physica D
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Cahiers Mathématiques
1 Algebra i Analiz
1 IMRN. International Mathematics Research Notices
1 The Journal of Geometric Analysis
1 Geometric and Functional Analysis. GAFA
1 Journal of Physics A: Mathematical and General
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
1 Advances in Mathematical Sciences and Applications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Journal of the Egyptian Mathematical Society
1 Mathematical Physics Electronic Journal
1 Discrete and Continuous Dynamical Systems
1 Matemática Contemporânea
1 Functional Differential Equations
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications in Contemporary Mathematics
1 Milan Journal of Mathematics
1 Cubo
1 Bollettino della Unione Matematica Italiana. Series V. B
1 Bulletin of the American Mathematical Society
1 Cambridge Studies in Advanced Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Progress in Mathematics
1 SMF Journée Annuelle
1 Series on Partial Differential Equations and Applications
1 Analysis & PDE
1 Confluentes Mathematici
1 Annals of the University of Bucharest. Mathematical Series
1 Journal de l’École Polytechnique – Mathématiques
1 Pure and Applied Functional Analysis
1 Progress in Nonlinear Differential Equations and Their Applications
...and 1 more Serials

Publications by Year

Citations contained in zbMATH Open

275 Publications have been cited 4,109 times in 2,081 Documents Cited by Year
Multiple wells in the semi-classical limit. I. Zbl 0546.35053
Helffer, B.; Sjöstrand, J.
250
1984
Semi-classical analysis for the Schrödinger operator and applications. Zbl 0647.35002
Helffer, Bernard
134
1988
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006
Helffer, Bernard; Nier, Francis
132
2005
Spectral methods in surface superconductivity. Zbl 1256.35001
Fournais, Søren; Helffer, Bernard
128
2010
Résonances en limite semi-classique. (Resonances in semi-classical limit). Zbl 0631.35075
Helffer, B.; Sjöstrand, J.
104
1986
Equation de Schrödinger avec champ magnétique et équation de Harper. (The Schrödinger equation with magnetic field and the Harper equation). Zbl 0699.35189
Helffer, B.; Sjöstrand, J.
103
1989
Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles. Zbl 0524.35103
Helffer, B.; Robert, D.
96
1983
Théorie spectrale pour des opérateurs globalement elliptiques. Zbl 0541.35002
Helffer, Bernard
84
1984
Caractérisation des opérateurs hypoelliptiques homogenes invariants à gauche sur un groupe de Lie nilpotent gradue. Zbl 0423.35040
Helffer, B.; Nourrigat, J.
83
1979
Magnetic bottles in connection with superconductivity. Zbl 1078.81023
Helffer, Bernard; Morame, Abderemane
81
2001
Nodal domains and spectral minimal partitions. Zbl 1171.35083
Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S.
72
2009
Puits multiples en mécanique semi-classique. IV: Étude du complexe de Witten. (Multiple wells in semi-classical limit. IV: Investigation of the Witten complex). Zbl 0597.35024
Helffer, B.; Sjöstrand, J.
70
1985
Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit). Zbl 0624.58039
Helffer, B.; Martinez, A.; Robert, D.
65
1987
Analyse semi-classique pour l’équation de Harper (avec application à l’équation de Schrödinger avec champ magnétique). (Semiclassical analysis for the Harper equation (with application to the magnetic Schrödinger equation)). Zbl 0714.34130
Helffer, B.; Sjöstrand, J.
65
1988
Spectral theory and its applications. Zbl 1279.47002
Helffer, Bernard
60
2013
Puits multiples en limite semi-classique. II: Interaction moléculaire. Symétries. Perturbation. (Multiple wells in the semi-classical limit. II: Molecular interaction. Symmetry. Perturbation). Zbl 0595.35031
Helffer, B.; Sjöstrand, J.
59
1985
Eigenvalues variation. I: Neumann problem for Sturm–Liouville operators. Zbl 0784.34021
Dauge, Monique; Helffer, Bernard
57
1993
Semi-classical analysis for Harper’s equation. III: Cantor structure of the spectrum. Zbl 0725.34099
Helffer, B.; Sjöstrand, J.
55
1989
Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. (Maximal hypoellipticity for polynomial operators of vector fields). Zbl 0568.35003
Helffer, Bernard; Nourrigat, Jean
50
1985
Semiclassical analysis for the ground state energy of a Schrödinger operator with magnetic wells. Zbl 0851.58046
Helffer, Bernard; Mohamed, Arbderemane
49
1996
On the correlation for Kac-like models in the convex case. Zbl 0946.35508
Helffer, Bernard; Sjöstrand, Johannes
47
1994
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025
Helffer, Bernard; Klein, Markus; Nier, Francis
45
2004
Propriétés asymptotiques du spectre d’opérateurs pseudodifferentiels sur \(R^ n\). Zbl 0501.35081
Helffer, Bernard; Robert, Didier
44
1982
Nodal sets for ground states of Schrödinger operators with zero magnetic field in non simply connected domains. Zbl 1042.81012
Helffer, B.; Hoffmann-Ostenhof, M.; Hoffmann-Ostenhof, T.; Owen, M. P.
43
1999
Comportement semi-classique du spectre des hamiltoniens quantiques elliptiques. Zbl 0451.35022
Robert, D.; Helffer, B.
43
1981
Asymptotic of the density of states for the Schrödinger operator with periodic electric potential. Zbl 0951.35104
Helffer, Bernard; Mohamed, Abderemane
39
1998
Caractérisation du spectre essentiel de l’opérateur de Schrödinger avec un champ magnétique. (Characterization of the essential spectrum of the Schrödinger operator with a magnetic field). Zbl 0638.47047
Helffer, B.; Mohamed, A.
39
1988
Semiclassical analysis, Witten Laplacians, and statistical mechanics. Zbl 1046.82001
Helffer, Bernard
38
2002
Multiple wells in the semi-classical limit. III: Interaction through non- resonant wells. Zbl 0597.35023
Helffer, B.; Sjöstrand, J.
38
1985
Puits de potentiel généralisés et asymptotique semi-classique. (Generalized potential wells and semiclassical asymptotic). Zbl 0565.35082
Helffer, B.; Robert, D.
38
1984
Paramètrixes d’opérateurs pseudodifferentiels à caractéristiques multiples. Zbl 0344.32009
Boutet de Monvel, Louis; Grigis, Alain; Helffer, Bernard
36
1976
Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian. Zbl 1097.47020
Fournais, Søren; Helffer, Bernard
35
2006
Analyse semi-classique pour l’équation de Harper. II: Comportement semi-classique près d’un rationnel. (Semiclassical analysis for the Harper equation. II. Semiclassical behaviour near a rational number). Zbl 0714.34131
Helffer, B.; Sjöstrand, J.
33
1990
On spectral minimal partitions: the case of the sphere. Zbl 1230.35072
Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna
30
2010
Upper critical field and location of surface nucleation of superconductivity. (Champ surcritique et localisation de la nucléation de surface en supraconductivité.) Zbl 1060.35132
Helffer, Bernard; Pan, Xing-Bin
29
2003
On diamagnetism and de Haas-van Alphen effect. Zbl 0715.35070
Helffer, B.; Sjöstrand, J.
29
1990
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018
Nier, F.; Helffer, B.
29
2006
The log-Sobolev inequality for unbounded spin systems. Zbl 0972.82035
Bodineau, T.; Helffer, B.
28
1999
Asymptotique des niveaux d’energie pour des Hamiltoniens à un degré de liberte. Zbl 0519.35063
Helffer, B.; Robert, D.
28
1982
Conditions necessaires d’hypoanalyticite pour des opérateurs invariants à gauche homogenes sur un groupe nilpotent gradue. Zbl 0458.35019
Helffer, Bernard
27
1982
On the third critical field in Ginzburg-Landau theory. Zbl 1107.58009
Fournais, S.; Helffer, B.
27
2006
Eigenvalues for the Robin Laplacian in domains with variable curvature. Zbl 1364.35215
Helffer, Bernard; Kachmar, Ayman
26
2017
Limiting absorption principle and resonances for the Dirac operator. Zbl 0756.35062
Balslev, E.; Helffer, B.
26
1992
Effet tunnel pour l’équation de Schrödinger avec champ magnétique. (Tunnel effect for the Schrödinger equation with a magnetic field). Zbl 0699.35205
Helffer, B.; Sjöstrand, J.
25
1987
On the stability of the relativistic electron-positron field. Zbl 1024.81056
Bach, Volker; Barbaroux, Jean-Marie; Helffer, Bernard; Siedentop, Heinz
23
1999
Magnetic bottles for the Neumann problem: curvature effects in the case of dimension 3 (general case). Zbl 1057.35061
Helffer, Bernard; Morame, Abderemane
22
2004
On spectral minimal partitions: a survey. Zbl 1225.35158
Helffer, B.
22
2010
Hypoellipticite pour des groupes nilpotents de rang de nilpotence 3. Zbl 0385.35015
Helffer, B.; Nourrigat, F.
22
1978
Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces. Zbl 1144.32023
Haslinger, Friedrich; Helffer, Bernard
21
2007
Degenerate parabolic operators of Kolmogorov type with a geometric control condition. Zbl 1311.93042
Beauchard, Karine; Helffer, Bernard; Henry, Raphael; Robbiano, Luc
21
2015
Effet d’Aharonov-Bohm sur un état borné de l’équation de Schrödinger. (Aharonov-Bohm effect for a bounded state of the Schrödinger equation). Zbl 0702.35186
Helffer, B.
19
1988
Magnetic bottles for the Neumann problem: the case of dimension 3. Zbl 1199.81016
Helffer, Bernard; Morame, Abderemane
18
2002
Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. Zbl 1196.35031
Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T.
18
2009
Invariants associés à une classe d’opérateurs pseudodifférentiels et applications à l’hypoellipticité. Zbl 0301.35026
Helffer, Bernard
18
1976
Nodal and spectral minimal partitions – The state of the art in 2016. Zbl 1373.49050
Bonnaillie-Noël, Virginie; Helffer, Bernard
18
2017
Tunneling between corners for Robin Laplacians. Zbl 1319.35129
Helffer, Bernard; Pankrashkin, Konstantin
17
2015
An application of semi-classical analysis to the asymptotic study of the supercooling field of a superconducting material. Zbl 0779.35104
Bolley, C.; Helffer, B.
17
1993
Remarks on decay of correlations and Witten Laplacians Brascamp-Lieb inequalities and semiclassical limit. Zbl 0921.35141
Helffer, Bernard
16
1998
Strong diamagnetism for general domains and application. Zbl 1133.35073
Fournais, Soeren; Helffer, Bernard
16
2007
On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent. Zbl 1332.35241
Almog, Yaniv; Helffer, Bernard
16
2015
Tunneling for the Robin Laplacian in smooth planar domains. Zbl 1361.35119
Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas
15
2017
On nodal domains in Euclidean balls. Zbl 1362.35200
Helffer, Bernard; Sundqvist, Mikael Persson
15
2016
The distribution of surface superconductivity along the boundary: on a conjecture of X. B. Pan. Zbl 1136.82042
Almog, Yaniv; Helffer, Bernard
15
2007
Sur le spectre de l’équation de Dirac (dans \({\mathbb{R}}^ 2\) ou \({\mathbb{R}}^ 3)\) avec champ magnétique. (On the spectrum of the Dirac equation (in \({\mathbb{R}}^ 2\) or \({\mathbb{R}}^ 3)\) with magnetic field). Zbl 0703.35127
Helffer, B.; Nourrigat, J.; Wang, X. P.
15
1989
Numerical simulations for nodal domains and spectral minimal partitions. Zbl 1191.35189
Bonnaillie-Noël, Virginie; Helffer, Bernard; Vial, Gregory
15
2010
On mathematical models for Bose-Einstein condensates in optical lattices. Zbl 1171.82304
Aftalion, Amandine; Helffer, Bernard
14
2009
Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom. Zbl 1184.35233
Helffer, B.; Kordyukov, Y. A.
14
2009
Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square with application to minimal partitions. Zbl 1270.35025
Bonnaillie-Noël, V.; Helffer, B.
14
2011
On the Ginzburg-Landau critical field in three dimensions. Zbl 1159.35301
Fournais, S.; Helffer, B.
14
2009
Remarks on decay of correlations and Witten Laplacians. III: Application to logarithmic Sobolev inequalities. Zbl 1055.82004
Helffer, Bernard
13
1999
Correlations, spectral gap and log-Sobolev inequalities for unbounded spins systems. Zbl 1161.82306
Bodineau, T.; Helffer, B.
13
2000
Nonlinear eigenvalues and analytic hypoellipticity. Zbl 1053.35045
Chanillo, Sagun; Helffer, Bernard; Laptev, Ari
13
2004
Riesz means of bound states and semiclassical limit connected with a Lieb-Thirring’s conjecture. Zbl 0717.35062
Helffer, B.; Robert, D.
13
1990
The Montgomery model revisited. Zbl 1207.34110
Helffer, B.
13
2010
Sur l’hypoellipticité des opérateurs pseudodifférentiels à caractéristiques multiples (perte de 3/2 derivées). Zbl 0374.35012
Helffer, Bernard
13
1977
On a magnetic characterization of spectral minimal partitions. Zbl 1282.35259
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
13
2013
The Ginzburg-Landau functional with vanishing magnetic field. Zbl 1331.35330
Helffer, Bernard; Kachmar, Ayman
13
2015
Dirichlet eigenfunctions of the square membrane: Courant’s property, and A. Stern’s and Å. Pleijel’s analyses. Zbl 1390.35209
Bérard, Pierre; Helffer, Bernard
13
2015
Superconductivity between \(H_{C_2}\) and \(H_{C_3}\). Zbl 1225.34097
Fournais, Søren; Helffer, Bernard; Persson, Mikael
13
2011
The complex Airy operator on the line with a semipermeable barrier. Zbl 1430.47001
Grebenkov, Denis S.; Helffer, Bernard; Henry, Raphael
13
2017
Rigorous results for the Ginzburg-Landau equations associated to a superconducting film in the weak \(\kappa\) limit. Zbl 0864.35097
Bolley, Catherine; Helffer, Bernard
12
1996
Puits multiples en mécanique semi-classique. VI: Cas des puits sous- variétés. (Multiple wells in semi-classical mechanics. VI: The case of submanifold wells). Zbl 0648.35027
Helffer, B.; Sjöstrand, J.
12
1987
On spectral theory for Schrödinger operators with magnetic potentials. Zbl 0816.35100
Helffer, Bernard
12
1994
Analyticite et iterés reduits d’un système de champs de vecteurs. Zbl 0452.35123
Helffer, B.; Mattera, Cl.
12
1980
Converse spectral problems for nodal domains. Zbl 1125.35068
Helffer, B.; Hoffmann-Ostenhof, T.
12
2007
Sturm’s theorem on zeros of linear combinations of eigenfunctions. Zbl 1443.34026
Bérard, Pierre; Helffer, Bernard
12
2020
Improving semigroup bounds with resolvent estimates. Zbl 1496.47067
Helffer, B.; Sjöstrand, J.
12
2021
Splitting in large dimension and infrared estimates. II: Moment inequalities. Zbl 0920.35124
Helffer, B.
11
1998
On a family of solutions to the second Painlevé equation related to superconductivity. Zbl 0920.34051
Helffer, Bernard; Weissler, Fred B.
11
1998
Long-time vanishing properties of solutions of some semilinear parabolic equations. Zbl 0983.35066
Belaud, Yves; Helffer, Bernard; Véron, Laurent
11
2001
Étude du spectre pour un opérateur globalement elliptique dont le symbole de Weyl présente des symétries. II: Action des groupes de Lie compacts. (Spectral study for a globally elliptic operator the Weyl symbol of which presents symmetries. II: Actions of compact Lie groups). Zbl 0605.58042
Helffer, B.; Robert, D.
11
1986
Energy asymptotics for type II superconductors. Zbl 1160.82365
Fournais, S.; Helffer, B.
11
2005
Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle. Zbl 1382.58021
Bérard, Pierre; Helffer, Bernard
11
2016
Magnetic wells in dimension three. Zbl 1351.81053
Helffer, Bernard; Kordyukov, Yuri; Raymond, Nicolas; Ngọc, San Vũ
11
2016
Eigenvalues variation. II: Multidimensional problems. Zbl 0807.34033
Dauge, Monique; Helffer, Bernard
11
1993
Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs. Zbl 0549.35026
Helffer, B.; Nourrigat, J.
11
1983
On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current. Zbl 1223.82070
Helffer, B.
11
2011
On spectral properties of the Bloch-Torrey operator in two dimensions. Zbl 1387.35427
Grebenkov, Denis S.; Helffer, Bernard
11
2018
Puits multiples en mécanique semi-classique. V: Étude des minipuits. (Multiple wells in semi-classical mechanics. V: Study of miniwells). Zbl 0628.35024
Helffer, B.; Sjöstrand, J.
10
1986
On the Hartree-Fock equations of the electron-positron field. Zbl 1087.81055
Barbaroux, Jean-Marie; Farkas, Walter; Helffer, Bernard; Siedentop, Heinz
10
2005
Computing nodal deficiency with a refined Dirichlet-to-Neumann map. Zbl 1495.35130
Berkolaiko, G.; Cox, G.; Helffer, B.; Sundqvist, M. P.
2
2022
Spectral flow for pair compatible equipartitions. Zbl 1484.35293
Helffer, Bernard; Sundqvist, Mikael Persson
2
2022
Magnetic confinement for the 3D Robin Laplacian. Zbl 1497.35104
Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas
2
2022
Semi-classical edge states for the Robin Laplacian. Zbl 1522.35349
Helffer, Bernard; Kachmar, Ayman
2
2022
Tunneling effect induced by a curved magnetic edge. Zbl 1500.81068
Fournais, Søren; Helffer, Bernard; Kachmar, Ayman
1
2022
Improving semigroup bounds with resolvent estimates. Zbl 1496.47067
Helffer, B.; Sjöstrand, J.
12
2021
On the stability of laminar flows between plates. Zbl 1473.35393
Almog, Yaniv; Helffer, Bernard
4
2021
Thin domain limit and counterexamples to strong diamagnetism. Zbl 1473.35523
Helffer, Bernard; Kachmar, Ayman
3
2021
Courant-sharp property for Dirichlet eigenfunctions on the Möbius strip. Zbl 1477.58005
Bérard, Pierre; Helffer, Bernard; Kiwan, Rola
3
2021
On Courant’s nodal domain property for linear combinations of eigenfunctions. II. Zbl 1472.35250
Bérard, Pierre; Helffer, Bernard
2
2021
Level sets of certain Neumann eigenfunctions under deformation of Lipschitz domains application to the extended Courant property. Zbl 1479.35581
Bérard, Pierre; Helffer, Bernard
1
2021
Sturm’s theorem on zeros of linear combinations of eigenfunctions. Zbl 1443.34026
Bérard, Pierre; Helffer, Bernard
12
2020
Courant-sharp Robin eigenvalues for the square: the case with small Robin parameter. Zbl 1434.35025
Gittins, K.; Helffer, B.
4
2020
Sturm’s theorem on the zeros of sums of eigenfunctions: Gelfand’s strategy implemented. Zbl 1472.34004
Bérard, Pierre; Helffer, Bernard
4
2020
The spectrum of a Schrödinger operator in a wire-like domain with a purely imaginary degenerate potential in the semiclassical limit. Zbl 1458.35285
Almog, Y.; Helffer, B.
2
2020
On a Schrödinger operator with a purely imaginary potential in the semiclassical limit. Zbl 1426.35099
Almog, Y.; Grebenkov, D. S.; Helffer, B.
8
2019
Inequalities for the lowest magnetic Neumann eigenvalue. Zbl 1415.35213
Fournais, S.; Helffer, B.
6
2019
Courant-sharp Robin eigenvalues for the square and other planar domains. Zbl 1444.35118
Gittins, Katie; Helffer, Bernard
6
2019
Peierls’ substitution for low lying spectral energy windows. Zbl 1440.35053
Cornean, Horia D.; Helffer, Bernard; Purice, Radu
3
2019
Positive Hausdorff dimensional spectrum for the critical almost Mathieu operator. Zbl 1484.47070
Helffer, Bernard; Liu, Qinghui; Qu, Yanhui; Zhou, Qi
3
2019
On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator. III: Magnetic fields that change sign. Zbl 1415.35214
Helffer, Bernard; Kovařík, Hynek; Sundqvist, Mikael P.
2
2019
On spectral properties of the Bloch-Torrey operator in two dimensions. Zbl 1387.35427
Grebenkov, Denis S.; Helffer, Bernard
11
2018
Spectral semi-classical analysis of a complex Schrödinger operator in exterior domains. Zbl 1386.81075
Almog, Y.; Grebenkov, D. S.; Helffer, B.
9
2018
On Courant’s nodal domain property for linear combinations of eigenfunctions. I. Zbl 1403.35192
Bérard, Pierre H.; Helffer, Bernard
9
2018
The density of superconductivity in domains with corners. Zbl 1454.35362
Helffer, Bernard; Kachmar, Ayman
7
2018
A beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames. Zbl 1407.35237
Cornean, Horia D.; Helffer, Bernard; Purice, Radu
3
2018
Pleijel’s theorem for Schrödinger operators with radial potentials. Zbl 1384.35048
Charron, Philippe; Helffer, Bernard; Hoffmann-Ostenhof, Thomas
2
2018
Eigenvalues for the Robin Laplacian in domains with variable curvature. Zbl 1364.35215
Helffer, Bernard; Kachmar, Ayman
26
2017
Nodal and spectral minimal partitions – The state of the art in 2016. Zbl 1373.49050
Bonnaillie-Noël, Virginie; Helffer, Bernard
18
2017
Tunneling for the Robin Laplacian in smooth planar domains. Zbl 1361.35119
Helffer, Bernard; Kachmar, Ayman; Raymond, Nicolas
15
2017
The complex Airy operator on the line with a semipermeable barrier. Zbl 1430.47001
Grebenkov, Denis S.; Helffer, Bernard; Henry, Raphael
13
2017
On the semi-classical analysis of the ground state energy of the Dirichlet Pauli operator. Zbl 1356.81132
Helffer, Bernard; Sundqvist, Mikael Persson
10
2017
Dirichlet eigenfunctions in the cube, sharpening the Courant nodal inequality. Zbl 1386.35297
Helffer, Bernard; Kiwan, Rola
5
2017
Decay of superconductivity away from the magnetic zero set. Zbl 1382.35285
Helffer, Bernard; Kachmar, Ayman
5
2017
Low lying spectral gaps induced by slowly varying magnetic fields. Zbl 1372.35255
Cornean, Horia D.; Helffer, Bernard; Purice, Radu
5
2017
On the semiclassical analysis of the ground state energy of the Dirichlet Pauli operator in non-simply connected domains. Zbl 1414.35134
Helffer, Bernard; Persson Sundqvist, M.
4
2017
Mixed normal-superconducting states in the presence of strong electric currents. Zbl 1361.35171
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
3
2017
From constant to non-degenerately vanishing magnetic fields in superconductivity. Zbl 1361.82039
Helffer, Bernard; Kachmar, Ayman
2
2017
Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in \(\mathbb{R}^2\). Zbl 1391.35020
Bérard, Pierre; Helffer, Bernard
1
2017
On nodal domains in Euclidean balls. Zbl 1362.35200
Helffer, Bernard; Sundqvist, Mikael Persson
15
2016
Courant-sharp eigenvalues for the equilateral torus, and for the equilateral triangle. Zbl 1382.58021
Bérard, Pierre; Helffer, Bernard
11
2016
Magnetic wells in dimension three. Zbl 1351.81053
Helffer, Bernard; Kordyukov, Yuri; Raymond, Nicolas; Ngọc, San Vũ
11
2016
Chambers’s formula for the graphene and the Hou model with kagome periodicity and applications. Zbl 1341.82125
Helffer, Bernard; Kerdelhué, Philippe; Royo-Letelier, Jimena
10
2016
The weak Pleijel theorem with geometric control. Zbl 1372.35194
Bérard, Pierre; Helffer, Bernard
4
2016
A. Stern’s analysis of the nodal sets of some families of spherical harmonics revisited. Zbl 1351.33014
Bérard, P.; Helffer, B.
3
2016
Degenerate parabolic operators of Kolmogorov type with a geometric control condition. Zbl 1311.93042
Beauchard, Karine; Helffer, Bernard; Henry, Raphael; Robbiano, Luc
21
2015
Tunneling between corners for Robin Laplacians. Zbl 1319.35129
Helffer, Bernard; Pankrashkin, Konstantin
17
2015
On the spectrum of non-selfadjoint Schrödinger operators with compact resolvent. Zbl 1332.35241
Almog, Yaniv; Helffer, Bernard
16
2015
The Ginzburg-Landau functional with vanishing magnetic field. Zbl 1331.35330
Helffer, Bernard; Kachmar, Ayman
13
2015
Dirichlet eigenfunctions of the square membrane: Courant’s property, and A. Stern’s and Å. Pleijel’s analyses. Zbl 1390.35209
Bérard, Pierre; Helffer, Bernard
13
2015
Nodal domains in the square – the Neumann case. Zbl 1342.35198
Helffer, Bernard; Sundqvist, Mikael Persson
10
2015
A review on large \(k\) minimal spectral \(k\)-partitions and Pleijel’s theorem. Zbl 1346.35132
Helffer, B.; Hoffmann-Ostenhof, T.
9
2015
Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator. Zbl 1338.81187
Helffer, Bernard; Kordyukov, Yuri A.
6
2015
Nodal sets of eigenfunctions, Antonie Stern’s results revisited. Zbl 1379.35203
Bérard, Pierre; Helffer, Bernard
4
2015
Edited extracts from Antonie Stern’s thesis. Zbl 1379.35204
Bérard, Pierre; Helffer, Bernard
2
2015
Global stability of the normal state of superconductors in the presence of a strong electric current. Zbl 1304.35662
Almog, Yaniv; Helffer, Bernard
10
2014
Semiclassical spectral asymptotics for a magnetic Schrödinger operator with non-vanishing magnetic field. Zbl 1317.81101
Helffer, Bernard; Kordyukov, Yuri A.
6
2014
Minimal partitions for anisotropic tori. Zbl 1321.58006
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
5
2014
Remarks on the boundary set of spectral equipartitions. Zbl 1322.35006
Bérard, P.; Helffer, B.
5
2014
Spectral theory and its applications. Zbl 1279.47002
Helffer, Bernard
60
2013
On a magnetic characterization of spectral minimal partitions. Zbl 1282.35259
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
13
2013
Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. Zbl 1267.82139
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
10
2013
Sharp trace asymptotics for a class of \(2D\)-magnetic operators. (Asymptotiques précisées pour la trace d’une classe d’opérateurs de Schrödinger magnétiques en dimension 2.) Zbl 1301.35070
Cornean, Horia D.; Fournais, Søren; Frank, Rupert L.; Helffer, Bernard
5
2013
Spectral minimal partitions for a thin strip on a cylinder or a thin annulus like domain with Neumann condition. Zbl 1273.35029
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
2
2013
Eigenvalue estimates for a three-dimensional magnetic Schrödinger operator. Zbl 1325.35123
Helffer, Bernard; Kordyukov, Yuri A.
2
2013
On spectral minimal partitions: the disk revisited. Zbl 1389.35022
Bonnaillie-Noël, Virginie; Helffer, Bernard
2
2013
Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator II: The case of degenerate wells. Zbl 1247.35084
Helffer, Bernard; Kordyukov, Yuri A.
6
2012
Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field. II: The large conductivity limit. Zbl 1263.82074
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
6
2012
Numerical analysis of nodal sets for eigenvalues of Aharonov-Bohm Hamiltonians on the square with application to minimal partitions. Zbl 1270.35025
Bonnaillie-Noël, V.; Helffer, B.
14
2011
Superconductivity between \(H_{C_2}\) and \(H_{C_3}\). Zbl 1225.34097
Fournais, Søren; Helffer, Bernard; Persson, Mikael
13
2011
On pseudo-spectral problems related to a time-dependent model in superconductivity with electric current. Zbl 1223.82070
Helffer, B.
11
2011
Semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator: the case of discrete wells. Zbl 1218.58017
Helffer, Bernard; Kordyukov, Yuri A.
7
2011
Introduction to some conjectures for spectral minimal partitions. Zbl 1247.35181
Helffer, B.
7
2011
Subellipticity and maximal hypoellipticity for two complex vector fields in \((2+2)\)-variables. Zbl 1235.35073
Derridj, Makhlouf; Helffer, Bernard
2
2011
Spectral methods in surface superconductivity. Zbl 1256.35001
Fournais, Søren; Helffer, Bernard
128
2010
On spectral minimal partitions: the case of the sphere. Zbl 1230.35072
Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna
30
2010
On spectral minimal partitions: a survey. Zbl 1225.35158
Helffer, B.
22
2010
Numerical simulations for nodal domains and spectral minimal partitions. Zbl 1191.35189
Bonnaillie-Noël, Virginie; Helffer, Bernard; Vial, Gregory
15
2010
The Montgomery model revisited. Zbl 1207.34110
Helffer, B.
13
2010
Superconductivity near the normal state under the action of electric currents and induced magnetic fields in \(\mathbb R^2\). Zbl 1201.35179
Almog, Yaniv; Helffer, Bernard; Pan, Xing-Bin
9
2010
Spectral properties of higher order anharmonic oscillators. Zbl 1302.47069
Helffer, B.; Persson, M.
9
2010
Nodal minimal partitions in dimension 3. Zbl 1193.35162
Helffer, Bernard; Hoffmann-Ostenhof, Thomas; Terracini, Susanna
8
2010
On minimal partitions: new properties and applications to the disk. Zbl 1231.35011
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
8
2010
Remarks on two notions of spectral minimal partitions. Zbl 1222.35067
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
6
2010
Bulk superconductivity in type II superconductors near the second critical field. Zbl 1188.82152
Fournais, Soren; Helffer, Bernard
4
2010
On the subellipticity of some hypoelliptic quasihomogeneous systems of complex vector fields. Zbl 1201.35093
Derridj, M.; Helffer, B.
3
2010
Magnetic calculus and semiclassical trace formulas. Zbl 1204.81066
Helffer, B.; Purice, R.
2
2010
Nodal domains and spectral minimal partitions. Zbl 1171.35083
Helffer, B.; Hoffmann-Ostenhof, T.; Terracini, S.
72
2009
Aharonov-Bohm Hamiltonians, isospectrality and minimal partitions. Zbl 1196.35031
Bonnaillie-Noël, V.; Helffer, B.; Hoffmann-Ostenhof, T.
18
2009
On mathematical models for Bose-Einstein condensates in optical lattices. Zbl 1171.82304
Aftalion, Amandine; Helffer, Bernard
14
2009
Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom. Zbl 1184.35233
Helffer, B.; Kordyukov, Y. A.
14
2009
On the Ginzburg-Landau critical field in three dimensions. Zbl 1159.35301
Fournais, S.; Helffer, B.
14
2009
Semiclassical analysis of Schrödinger operators with magnetic wells. Zbl 1184.81058
Helffer, Bernard; Kordyukov, Yuri A.
3
2009
Subelliptic estimates for some systems of complex vector fields: Quasihomogeneous case. Zbl 1172.35367
Derridj, M.; Helffer, B.
2
2009
Introduction to semi-classical methods for the Schrödinger operator with magnetic field. Zbl 1225.81063
Helffer, Bernard
1
2009
Reduced Landau-de Gennes functional and surface smectic state of liquid crystals. Zbl 1153.49003
Helffer, Bernard; Pan, Xing-Bin
5
2008
Semiclassical asymptotics and gaps in the spectra of periodic Schrödinger operators with magnetic wells. Zbl 1131.35054
Helffer, Bernard; Kordyukov, Yuri A.
4
2008
Periodic magnetic Schrödinger operators: spectral gaps and tunneling effect. Zbl 1237.58029
Kordyukov, Yu. A.; Helffer, B.
2
2008
Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells. Zbl 1156.81384
Helffer, Bernard; Kordyukov, Yuri A.
2
2008
Compactness of the solution operator to \(\overline\partial\) in weighted \(L^{2}\)-spaces. Zbl 1144.32023
Haslinger, Friedrich; Helffer, Bernard
21
2007
...and 175 more Documents
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Cited by 1,703 Authors

144 Helffer, Bernard
42 Sjöstrand, Johannes
37 Kachmar, Ayman
33 Raymond, Nicolas
31 Martinez, André
28 Robert, Didier
26 Ruzhansky, Michael V.
21 Fournais, Søren
21 Pan, Xingbin
18 Almog, Yaniv
18 Wang, Xueping
17 Gérard, Christian
17 Nourrigat, Jean Francois
16 Bonnaillie-Noël, Virginie
16 Cornean, Horia D.
16 Lewin, Mathieu
16 Sundqvist, Mikael Persson
15 Parmeggiani, Alberto
15 Zworski, Maciej
14 Hérau, Frédéric
14 Klein, Markus
14 Mughetti, Marco
14 Nicola, Fabio
14 Rodino, Luigi
13 Bérard, Pierre H.
13 Morame, Abderemane
13 Pankrashkin, Konstantin
12 Fujiié, Setsuro
12 Kordyukov, Yuri A.
12 Léna, Corentin
12 Nakamura, Shu
12 Nier, Francis
12 Popoff, Nicolas
12 Purice, Radu
12 Rougerie, Nicolas
11 Correggi, Michele
11 Derridj, Makhlouf
11 Dimassi, Mouez
11 Klopp, Frédéric
11 Sobolev, Alexander V.
10 Abatangelo, Laura
10 Anikin, A. Yu.
10 Dobrokhotov, Sergei Yurievich
10 Frank, Rupert L.
10 Ludwig, Ursula Beate
10 Măntoiu, Marius Laurențiu
10 Sigal, Israel Michael
10 Simon, Barry
9 Briet, Philippe
9 Bruneau, Vincent
9 Christ, Michael
9 Exner, Pavel
9 Felli, Veronica
9 Fischer, Véronique
9 Hainzl, Christian
9 Himonas, A. Alexandrou
9 Jitomirskaya, Svetlana Yakovlevna
9 Le Peutrec, Dorian
9 Pravda-Starov, Karel
9 Ramond, Thierry
9 Rivière, Gabriel
8 Bolley, Catherine
8 Bony, Jean-François
8 Dauge, Monique
8 Haslinger, Friedrich
8 Hoffmann-Ostenhof, Thomas
8 Kennedy, James Bernard
8 Krejčiřík, David
8 Lelièvre, Tony
8 Lévy-Bruhl, Pierre
8 Petronilho, Gerson
8 Pilipović, Stevan
8 Rosenberger, Elke
8 Rothschild, Linda Preiss
8 Tamura, Hideo
8 Terracini, Susanna
8 Tokmagambetov, Niyaz Esenzholovich
8 Vũ Ngọc, San
8 Wang, Xue Ping
7 Bove, Antonio
7 Cappiello, Marco
7 Grebenkov, Denis S.
7 Grigis, Alain
7 Hislop, Peter D.
7 Hitrik, Michael
7 Li, Weixi
7 Müller, Detlef
7 Nectoux, Boris
7 Parnovski, Leonid
7 Ricci, Fulvio
7 Senoussaoui, Abderrahmane
7 Séré, Eric
7 Siegl, Petr
7 Steinerberger, Stefan
7 Uribe, Alejandro
7 Zerzeri, Maher
6 Assaad, Wafaa
6 Bambusi, Dario
6 Beauchard, Karine
6 Bismut, Jean-Michel
...and 1,603 more Authors
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Cited in 295 Serials

152 Communications in Mathematical Physics
150 Journal of Functional Analysis
105 Journal of Mathematical Physics
78 Communications in Partial Differential Equations
59 Annales Henri Poincaré
55 Annales de l’Institut Henri Poincaré. Physique Théorique
52 Journal of Differential Equations
47 Annales de l’Institut Fourier
43 Journal of Spectral Theory
38 Transactions of the American Mathematical Society
36 Reviews in Mathematical Physics
34 Journal of Mathematical Analysis and Applications
34 Comptes Rendus. Mathématique. Académie des Sciences, Paris
32 Duke Mathematical Journal
29 Letters in Mathematical Physics
26 Journal de Mathématiques Pures et Appliquées. Neuvième Série
25 Journal of Statistical Physics
25 Advances in Mathematics
25 SIAM Journal on Mathematical Analysis
24 Journal d’Analyse Mathématique
24 Proceedings of the American Mathematical Society
23 Archive for Rational Mechanics and Analysis
23 Calculus of Variations and Partial Differential Equations
16 Inventiones Mathematicae
16 The Journal of Geometric Analysis
15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
15 Journal of Pseudo-Differential Operators and Applications
14 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Journal of the European Mathematical Society (JEMS)
13 Communications in Contemporary Mathematics
12 Integral Equations and Operator Theory
12 Annals of Global Analysis and Geometry
11 The Annals of Probability
11 Mathematische Annalen
11 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
11 Potential Analysis
11 Analysis & PDE
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10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
10 Asymptotic Analysis
10 Russian Journal of Mathematical Physics
9 Journal of Geometry and Physics
9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
9 Bulletin de la Société Mathématique de France
9 Mathematische Zeitschrift
9 Mémoires de la Société Mathématique de France. Nouvelle Série
9 Journal of Mathematical Sciences (New York)
8 Communications on Pure and Applied Mathematics
8 Mathematical Notes
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6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
6 Bulletin of the American Mathematical Society. New Series
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6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Mathematical Physics, Analysis and Geometry
6 Annals of Mathematics. Second Series
6 Journal of Physics A: Mathematical and Theoretical
6 Kinetic and Related Models
6 Analysis and Mathematical Physics
5 Nonlinearity
5 Functional Analysis and its Applications
5 Acta Applicandae Mathematicae
5 Revista Matemática Iberoamericana
5 The Annals of Applied Probability
5 Electronic Journal of Probability
5 Documenta Mathematica
5 Communications on Pure and Applied Analysis
5 Oberwolfach Reports
5 Stochastic and Partial Differential Equations. Analysis and Computations
5 Journal de l’École Polytechnique – Mathématiques
5 Séminaire Laurent Schwartz. EDP et Applications
5 Annales Henri Lebesgue
4 Israel Journal of Mathematics
4 Mathematical Methods in the Applied Sciences
4 Acta Mathematica
4 Journal of the Mathematical Society of Japan
4 Numerische Mathematik
4 Proceedings of the Japan Academy. Series A
4 Quarterly of Applied Mathematics
4 Rendiconti del Seminario Matematico della Università di Padova
4 Journal of the American Mathematical Society
4 Journal of Scientific Computing
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Journal of Dynamics and Differential Equations
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