# zbMATH — the first resource for mathematics

## Nier, Francis

Compute Distance To:
 Author ID: nier.francis Published as: Nier, F.; Nier, Francis
 Documents Indexed: 62 Publications since 1990, including 2 Books
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#### Co-Authors

 24 single-authored 6 Ammari, Zied 5 Nataf, Frédéric 4 Helffer, Bernard 4 Mantile, Andrea 3 Bonnaillie-Noël, Virginie 3 Chniti, Chokri 3 Faraj, Ali 3 Patel, Yassine 2 Aftalion, Amandine 2 Arnold, Anton 2 Degond, Pierre 2 Gérard, Christian 2 Lelièvre, Tony 2 Mustieles, Francisco-José 1 Blanc, Xavier 1 Breteaux, Sébastien 1 Delaurens, Frédérique 1 Gallagher, Isabelle 1 Gallay, Thierry 1 Guyot-Delaurens, F. 1 Hérau, Frédéric 1 Hmidi, Toufik 1 Klein, Markus 1 Le Peutrec, Dorian 1 Liard, Quentin 1 Patel, Mainak 1 Pavliotis, Grigorios A. 1 Rouffort, C. 1 Said, Mona Ben 1 Soffer, Avraham 1 Viola, Joe 1 Viterbo, Claude
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#### Serials

 6 Séminaire Équations aux Dérivées Partielles 3 Journal of Functional Analysis 2 Asymptotic Analysis 2 IMRN. International Mathematics Research Notices 2 Communications in Partial Differential Equations 2 Annales Henri Poincaré 1 Archive for Rational Mechanics and Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Transport Theory and Statistical Physics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Calcolo 1 Journal of Mathematics of Kyoto University 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 COMPEL 1 Journal of Scientific Computing 1 Forum Mathematicum 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Serdica Mathematical Journal 1 Matemática Contemporânea 1 Mathematical Physics, Analysis and Geometry 1 RIMS Kokyuroku 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Lecture Notes in Mathematics 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Tunisian Journal of Mathematics
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#### Fields

 41 Partial differential equations (35-XX) 28 Quantum theory (81-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Operator theory (47-XX) 12 Numerical analysis (65-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

49 Publications have been cited 721 times in 478 Documents Cited by Year
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006
Helffer, Bernard; Nier, Francis
2005
Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential. Zbl 1139.82323
Hérau, Frédéric; Nier, Francis
2004
Mean field limit for bosons and infinite dimensional phase-space analysis. Zbl 1171.81014
Ammari, Zied; Nier, Francis
2008
The Mourre theory for analytically fibered operators. Zbl 0939.47019
Gérard, Christian; Nier, Francis
1998
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. Zbl 1118.82004
Aftalion, A.; Blanc, X.; Nier, F.
2006
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025
Helffer, Bernard; Klein, Markus; Nier, Francis
2004
Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. Zbl 1251.81062
Ammari, Z.; Nier, F.
2011
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A.
2013
A variational formulation of Schrödinger–Poisson systems in dimension $$d\leq3$$. Zbl 0785.35086
Nier, Francis
1993
A stationary Schrödinger-Poisson system arising from the modelling of electronic devices. Zbl 0716.34098
Nier, Francis
1990
Mean field limit for bosons and propagation of Wigner measures. Zbl 1214.81089
Ammari, Z.; Nier, F.
2009
Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108
Nataf, Frédéric; Nier, F.
1997
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018
Nier, F.; Helffer, B.
2006
Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111
Gérard, Christian; Nier, Francis
1998
Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator. Zbl 1180.35383
Gallagher, Isabelle; Gallay, Thierry; Nier, Francis
2009
The dynamics of some quantum open systems with short-range nonlinearities. Zbl 0909.34052
Nier, Francis
1998
Mean field propagation of infinite-dimensional Wigner measures with a singular two-body interaction potential. Zbl 1341.81037
Ammari, Zied; Nier, Francis
2015
The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case. Zbl 0742.35078
Arnold, Anton; Nier, Francis
1991
A semi-classical picture of quantum scattering. Zbl 0858.35106
Nier, Francis
1996
Schrödinger-Poisson systems in dimension $$d\leqq 3$$: The whole-space case. Zbl 0807.35119
Nier, F.
1993
Precise Arrhenius law for $$p$$-forms: the Witten Laplacian and Morse-Barannikov complex. Zbl 1275.58018
Le Peutrec, Dorian; Nier, Francis; Viterbo, Claude
2013
Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021
Lelièvre, Tony; Nier, Francis
2015
Asymptotic analysis of a scaled Wigner equation and quantum scattering. Zbl 0870.45003
Nier, Francis
1995
Hypoellipticity for Fokker-Planck operators and Witten Laplacians. Zbl 1286.35283
Nier, Francis
2012
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II. Zbl 1157.82046
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine
2009
About theta functions and the Abrikosov lattice. Zbl 1171.33012
Nier, Francis
2007
Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017
Nier, F.; Soffer, A.
2003
Quantum mean-field asymptotics and multiscale analysis. Zbl 1407.81117
Ammari, Zied; Breteaux, Sébastien; Nier, Francis
2019
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. Zbl 1223.35125
Faraj, Ali; Mantile, Andrea; Nier, Francis
2011
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I. Zbl 1149.82349
Bonnaillie-Noël, V.; Nier, F.; Patel, Y.
2008
Bose-Einstein condensates in the lowest Landau level: Hamiltonian dynamics. Zbl 1129.82023
Nier, F.
2007
Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures. Zbl 1189.82129
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine
2006
Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries. Zbl 1419.35001
Nier, Francis
2018
An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Zbl 1204.81071
Faraj, A.; Mantile, A.; Nier, F.
2010
Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
2008
Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
2006
Criteria to the Poincaré inequality associated with Dirichlet forms in $$\mathbb{R}^d,\,d\geq 2$$. Zbl 1098.31005
Helffer, Bernard; Nier, Francis
2003
Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007
Nataf, Frédéric; Nier, Francis
1998
Particle simulation of bidimensional electron transport parallel to a heterojunction interface. Zbl 0724.65133
Degond, P.; Delaurens, F.; Mustieles, F. J.; Nier, F.
1990
Improved interface conditions for $$2 D$$ domain decomposition with corners: numerical applications. Zbl 1203.65274
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
2009
Nonlinear asymptotics for quantum out-of-equilibrium 1D systems: reduced models and algorithms. Zbl 1322.82003
Nier, F.; Patel, M.
2004
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1067.35057
Nier, Francis
2004
Remarks on domain decomposition algorithms. Zbl 1058.65514
Nier, F.
1999
Variational formulation of Schrödinger-Poisson systems in dimension $$d\leq 3$$. Zbl 0823.35154
Nier, Francis
1992
Semiconductor modelling via the Boltzmann equation. Zbl 0732.35098
Degond, P.; Guyot-Delaurens, F.; Mustieles, F. J.; Nier, F.
1991
On the relationship between non-linear Schrödinger dynamics, Gross-Pitaevskli hierarchy and Liouville’s equation. Zbl 1369.37072
Ammari, Zied; Nier, F.; Liard, Q.; Rouffort, C.
2017
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. Zbl 1190.37013
Hmidi, Toufik; Mantile, Andrea; Nier, Francis
2010
Accurate WKB approximation for a 1D problem with low regularity. Zbl 1199.81023
Nier, F.
2008
Numerical analysis of the deterministic particle method applied to the Wigner equation. Zbl 0763.65092
Arnold, Anton; Nier, Francis
1992
Quantum mean-field asymptotics and multiscale analysis. Zbl 1407.81117
Ammari, Zied; Breteaux, Sébastien; Nier, Francis
2019
Boundary conditions and subelliptic estimates for geometric Kramers-Fokker-Planck operators on manifolds with boundaries. Zbl 1419.35001
Nier, Francis
2018
On the relationship between non-linear Schrödinger dynamics, Gross-Pitaevskli hierarchy and Liouville’s equation. Zbl 1369.37072
Ammari, Zied; Nier, F.; Liard, Q.; Rouffort, C.
2017
Mean field propagation of infinite-dimensional Wigner measures with a singular two-body interaction potential. Zbl 1341.81037
Ammari, Zied; Nier, Francis
2015
Low temperature asymptotics for quasistationary distributions in a bounded domain. Zbl 1320.58021
Lelièvre, Tony; Nier, Francis
2015
Optimal non-reversible linear drift for the convergence to equilibrium of a diffusion. Zbl 1276.82042
Lelièvre, T.; Nier, F.; Pavliotis, G. A.
2013
Precise Arrhenius law for $$p$$-forms: the Witten Laplacian and Morse-Barannikov complex. Zbl 1275.58018
Le Peutrec, Dorian; Nier, Francis; Viterbo, Claude
2013
Hypoellipticity for Fokker-Planck operators and Witten Laplacians. Zbl 1286.35283
Nier, Francis
2012
Mean field propagation of Wigner measures and BBGKY hierarchies for general bosonic states. Zbl 1251.81062
Ammari, Z.; Nier, F.
2011
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach. Zbl 1223.35125
Faraj, Ali; Mantile, Andrea; Nier, Francis
2011
An explicit model for the adiabatic evolution of quantum observables driven by 1D shape resonances. Zbl 1204.81071
Faraj, A.; Mantile, A.; Nier, F.
2010
Time-dependent delta-interactions for 1D Schrödinger Hamiltonians. Zbl 1190.37013
Hmidi, Toufik; Mantile, Andrea; Nier, Francis
2010
Mean field limit for bosons and propagation of Wigner measures. Zbl 1214.81089
Ammari, Z.; Nier, F.
2009
Spectral asymptotics for large skew-symmetric perturbations of the harmonic oscillator. Zbl 1180.35383
Gallagher, Isabelle; Gallay, Thierry; Nier, Francis
2009
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells II. Zbl 1157.82046
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine
2009
Improved interface conditions for $$2 D$$ domain decomposition with corners: numerical applications. Zbl 1203.65274
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
2009
Mean field limit for bosons and infinite dimensional phase-space analysis. Zbl 1171.81014
Ammari, Zied; Nier, Francis
2008
Far from equilibrium steady states of 1D-Schrödinger-Poisson systems with quantum wells. I. Zbl 1149.82349
Bonnaillie-Noël, V.; Nier, F.; Patel, Y.
2008
Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
2008
Accurate WKB approximation for a 1D problem with low regularity. Zbl 1199.81023
Nier, F.
2008
About theta functions and the Abrikosov lattice. Zbl 1171.33012
Nier, Francis
2007
Bose-Einstein condensates in the lowest Landau level: Hamiltonian dynamics. Zbl 1129.82023
Nier, F.
2007
Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. Zbl 1118.82004
Aftalion, A.; Blanc, X.; Nier, F.
2006
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach: the case with boundary. Zbl 1108.58018
Nier, F.; Helffer, B.
2006
Computing the steady states for an asymptotic model of quantum transport in resonant heterostructures. Zbl 1189.82129
Bonnaillie-Noël, Virginie; Nier, Francis; Patel, Yassine
2006
Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
2006
Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians. Zbl 1072.35006
Helffer, Bernard; Nier, Francis
2005
Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential. Zbl 1139.82323
Hérau, Frédéric; Nier, Francis
2004
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1079.58025
Helffer, Bernard; Klein, Markus; Nier, Francis
2004
Nonlinear asymptotics for quantum out-of-equilibrium 1D systems: reduced models and algorithms. Zbl 1322.82003
Nier, F.; Patel, M.
2004
Quantitative analysis of metastability in reversible diffusion processes via a Witten complex approach. Zbl 1067.35057
Nier, Francis
2004
Dispersion and Strichartz estimates for some finite rank perturbations of the Laplace operator. Zbl 1034.35017
Nier, F.; Soffer, A.
2003
Criteria to the Poincaré inequality associated with Dirichlet forms in $$\mathbb{R}^d,\,d\geq 2$$. Zbl 1098.31005
Helffer, Bernard; Nier, Francis
2003
Remarks on domain decomposition algorithms. Zbl 1058.65514
Nier, F.
1999
The Mourre theory for analytically fibered operators. Zbl 0939.47019
Gérard, Christian; Nier, Francis
1998
Scattering theory for the perturbations of periodic Schrödinger operators. Zbl 0934.35111
Gérard, Christian; Nier, Francis
1998
The dynamics of some quantum open systems with short-range nonlinearities. Zbl 0909.34052
Nier, Francis
1998
Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007
Nataf, Frédéric; Nier, Francis
1998
Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108
Nataf, Frédéric; Nier, F.
1997
A semi-classical picture of quantum scattering. Zbl 0858.35106
Nier, Francis
1996
Asymptotic analysis of a scaled Wigner equation and quantum scattering. Zbl 0870.45003
Nier, Francis
1995
A variational formulation of Schrödinger–Poisson systems in dimension $$d\leq3$$. Zbl 0785.35086
Nier, Francis
1993
Schrödinger-Poisson systems in dimension $$d\leqq 3$$: The whole-space case. Zbl 0807.35119
Nier, F.
1993
Variational formulation of Schrödinger-Poisson systems in dimension $$d\leq 3$$. Zbl 0823.35154
Nier, Francis
1992
Numerical analysis of the deterministic particle method applied to the Wigner equation. Zbl 0763.65092
Arnold, Anton; Nier, Francis
1992
The two-dimensional Wigner-Poisson problem for an electron gas in the charge neutral case. Zbl 0742.35078
Arnold, Anton; Nier, Francis
1991
Semiconductor modelling via the Boltzmann equation. Zbl 0732.35098
Degond, P.; Guyot-Delaurens, F.; Mustieles, F. J.; Nier, F.
1991
A stationary Schrödinger-Poisson system arising from the modelling of electronic devices. Zbl 0716.34098
Nier, Francis
1990
Particle simulation of bidimensional electron transport parallel to a heterojunction interface. Zbl 0724.65133
Degond, P.; Delaurens, F.; Mustieles, F. J.; Nier, F.
1990
all top 5

#### Cited by 596 Authors

 20 Nier, Francis 12 Rougerie, Nicolas 11 Lewin, Mathieu 10 Ben Abdallah, Naoufel 10 Hérau, Frédéric 10 Li, Weixi 10 Méhats, Florian 10 Pavliotis, Grigorios A. 10 Pravda-Starov, Karel 9 Phan Thành Nam 8 Bétermin, Laurent 7 Arnold, Anton 7 Lelièvre, Tony 6 Aftalion, Amandine 6 Ammari, Zied 6 Falconi, Marco 6 Helffer, Bernard 6 Hitrik, Michael 6 Klein, Markus 6 Le Peutrec, Dorian 6 Mouhot, Clément 6 Nataf, Frédéric 6 Rosenberger, Elke 6 Schlein, Benjamin 6 Sohinger, Vedran 5 Bedrossian, Jacob 5 Chen, Hua 5 Chniti, Chokri 5 Correggi, Michele 5 Dolbeault, Jean 5 Guillin, Arnaud 5 Michel, Laurent 5 Niikuni, Hiroaki 5 Pinaud, Olivier 5 Popoff, Nicolas 5 Rehberg, Joachim 5 Stoltz, Gabriel 5 Yngvason, Jakob 4 Blanc, Xavier 4 Breteaux, Sébastien 4 Carles, Rémi 4 Di Gesù, Giacomo 4 Germain, Pierre 4 Häfner, Dietrich 4 Hairer, Martin 4 Hwang, Hyung Ju 4 Kaiser, Hans-Christoph 4 Kuchment, Peter A. 4 Lange, Horst 4 Mantile, Andrea 4 Mischler, Stéphane 4 Nectoux, Boris 4 Neidhardt, Hagen 4 Serfaty, Sylvia 4 Sigal, Israel Michael 4 Tentarelli, Lorenzo 4 Thomann, Laurent 4 Xu, Chao-Jiang 3 Aida, Shigeki 3 Amour, Laurent 3 Bierkens, Joris 3 Bony, Jean-François 3 Castella, François 3 Cattiaux, Patrick 3 Chen, Thomas M. 3 Chen, Xuwen 3 Derridj, Makhlouf 3 Duncan, Andrew B. 3 Evans, Josephine 3 Gander, Martin Jakob 3 Geuzaine, Christophe A. 3 Grothaus, Martin 3 Herda, Maxime 3 Holmer, Justin 3 Isozaki, Hiroshi 3 Jager, Lisette 3 Jang, Juhi 3 Lerner, Nicolas 3 Liard, Quentin 3 López, José Luis 3 Macià, Fabricio 3 Markowich, Peter Alexander 3 Menozzi, Stéphane 3 Morioka, Hisashi 3 Motta, Santo 3 Nourrigat, Jean Francois 3 Ottobre, Michela 3 Pavlović, Nataša 3 Petrache, Mircea 3 Schlichting, André 3 Schmeiser, Christian 3 Seiringer, Robert 3 Sjöstrand, Johannes 3 Soler, Juan S. 3 Sparber, Christof 3 Tzaneteas, Tim 3 Viola, Joe 3 Wei, Dongyi 3 Zhang, Zhifei 2 Abdulle, Assyr ...and 496 more Authors
all top 5

#### Cited in 136 Serials

 31 Journal of Functional Analysis 26 Journal of Statistical Physics 23 Journal of Mathematical Physics 19 Communications in Mathematical Physics 18 Annales Henri Poincaré 15 Archive for Rational Mechanics and Analysis 15 Communications in Partial Differential Equations 15 SIAM Journal on Mathematical Analysis 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Reviews in Mathematical Physics 11 Journal of Differential Equations 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Journal of Computational Physics 8 Journal of Mathematical Analysis and Applications 8 Transactions of the American Mathematical Society 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Kinetic and Related Models 7 Annales de l’Institut Fourier 6 Inventiones Mathematicae 5 Letters in Mathematical Physics 5 Mathematics of Computation 5 Journal of Nonlinear Science 5 Journal of Pseudo-Differential Operators and Applications 4 Communications on Pure and Applied Mathematics 4 Integral Equations and Operator Theory 4 Journal of Computational and Applied Mathematics 4 Communications in Contemporary Mathematics 4 Multiscale Modeling & Simulation 3 Nonlinearity 3 Advances in Mathematics 3 Proceedings of the American Mathematical Society 3 Quarterly of Applied Mathematics 3 Tokyo Journal of Mathematics 3 Journal of Scientific Computing 3 The Annals of Applied Probability 3 St. Petersburg Mathematical Journal 3 Journal of the Institute of Mathematics of Jussieu 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Analysis & PDE 3 Science China. Mathematics 3 SIAM/ASA Journal on Uncertainty Quantification 3 Annals of PDE 2 Reports on Mathematical Physics 2 Transport Theory and Statistical Physics 2 The Annals of Probability 2 Applied Mathematics and Computation 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Monatshefte für Mathematik 2 Numerische Mathematik 2 Annals of Global Analysis and Geometry 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Bulletin of the American Mathematical Society. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Bernoulli 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 SIAM Journal on Applied Dynamical Systems 2 Acta Numerica 2 Analysis and Mathematical Physics 2 Statistics and Computing 2 Journal de l’École Polytechnique – Mathématiques 2 Séminaire Laurent Schwartz. EDP et Applications 2 Pure and Applied Analysis 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Physica A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Theory of Probability and its Applications 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Automatica 1 Calcolo 1 Geometriae Dedicata 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 European Journal of Combinatorics 1 Physica D 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 COMPEL 1 Numerical Methods for Partial Differential Equations 1 Journal of Theoretical Probability 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review ...and 36 more Serials
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#### Cited in 46 Fields

 317 Partial differential equations (35-XX) 168 Statistical mechanics, structure of matter (82-XX) 145 Quantum theory (81-XX) 78 Operator theory (47-XX) 67 Numerical analysis (65-XX) 64 Probability theory and stochastic processes (60-XX) 41 Global analysis, analysis on manifolds (58-XX) 32 Fluid mechanics (76-XX) 30 Dynamical systems and ergodic theory (37-XX) 18 Ordinary differential equations (34-XX) 15 Optics, electromagnetic theory (78-XX) 13 Functional analysis (46-XX) 11 Differential geometry (53-XX) 10 Integral equations (45-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Combinatorics (05-XX) 6 Mechanics of deformable solids (74-XX) 5 Algebraic geometry (14-XX) 5 Mechanics of particles and systems (70-XX) 5 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-XX) 4 Real functions (26-XX) 4 Measure and integration (28-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Manifolds and cell complexes (57-XX) 4 Relativity and gravitational theory (83-XX) 4 Information and communication theory, circuits (94-XX) 3 Difference and functional equations (39-XX) 3 Statistics (62-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Potential theory (31-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Classical thermodynamics, heat transfer (80-XX)