# zbMATH — the first resource for mathematics

## Sattinger, David H.

Compute Distance To:
 Author ID: sattinger.david-h Published as: Sattinger, D.; Sattinger, D. H.; Sattinger, David; Sattinger, David H.
 Documents Indexed: 89 Publications since 1966, including 8 Books
all top 5

#### Co-Authors

 49 single-authored 16 Beals, Richard W. 15 Szmigielski, Jacek 2 Joseph, Daniel D. 2 Levine, Howard Allen 2 McLeod, John Bryce 2 Weinberger, Hans Felix 2 Zurkowski, V. D. 1 Aronson, Donald G. 1 Cercignani, Carlo 1 Conley, Elizabeth 1 Farina, Alberto 1 Friedman, Avner 1 Hărăguş-Courcelle, Mariana 1 Haragus, Mariana 1 Hurd, Albert E. 1 Kolev, Boyan I. 1 Leoni, Giovanni 1 Li, Yi 1 Markus, Lawrence 1 McLeod, Kevin 1 Meyers, Norman 1 Nicholls, David P. 1 Olver, Peter John 1 Payne, Lawrence Edward 1 Peletier, Lambertus Adrianus 1 Pöppe, Christoph 1 Pu, Fucho 1 Rosencrans, Steven I. 1 Stack, Martha 1 Stakgold, Ivar 1 Sucha, Janet 1 Tracy, Craig Arnold 1 Vazquez, Juan Luis 1 Venakides, Stephanos 1 Weaver, O. L. 1 Williams, Eric D.
all top 5

#### Serials

 6 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Physics 3 Advances in Mathematics 3 Physica D 3 SIAM Journal on Mathematical Analysis 3 Journal of Mathematical Fluid Mechanics 3 Lecture Notes in Mathematics 2 Inverse Problems 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Indiana University Mathematics Journal 2 Journal of Functional Analysis 2 Differential and Integral Equations 2 Journal of Mathematics and Physics 1 Applicable Analysis 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Journal of Dynamics and Differential Equations 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Nonlinear Mathematical Physics 1 Journal of the Institute of Mathematics of Jussieu 1 Bulletin of the American Mathematical Society 1 Journal of Mathematics and Mechanics 1 Applied Mathematical Sciences 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Contemporary Mathematics 1 DMV Seminar 1 The IMA Volumes in Mathematics and its Applications
all top 5

#### Fields

 53 Partial differential equations (35-XX) 27 Dynamical systems and ergodic theory (37-XX) 13 Fluid mechanics (76-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Operator theory (47-XX) 7 Quantum theory (81-XX) 5 Topological groups, Lie groups (22-XX) 4 Group theory and generalizations (20-XX) 4 Ordinary differential equations (34-XX) 3 General and overarching topics; collections (00-XX) 2 Nonassociative rings and algebras (17-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH

74 Publications have been cited 2,635 times in 2,100 Documents Cited by Year
Monotone methods in nonlinear elliptic and parabolic boundary value problems. Zbl 0223.35038
Sattinger, David H.
1972
Saddle points and instability of nonlinear hyperbolic equations. Zbl 0317.35059
Payne, L. E.; Sattinger, D. H.
1976
Topics in stability and bifurcation theory. Zbl 0248.35003
Sattinger, David H.
1973
On the stability of waves of nonlinear parabolic systems. Zbl 0344.35051
Sattinger, D. H.
1976
On global solution of nonlinear hyperbolic equations. Zbl 0159.39102
Sattinger, D. H.
1968
Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154
Beals, R.; Sattinger, D. H.; Szmigielski, J.
1999
Group theoretic methods in bifurcation theory. With an appendix by P. Olver. Zbl 0414.58013
Sattinger, D. H.
1979
Multipeakons and the classical moment problem. Zbl 0968.35008
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2000
Acoustic scattering and the extended Korteweg-de Vries hierarchy. Zbl 0919.35118
Beals, R.; Sattinger, D. H.; Szmigielski, J.
1998
Lie groups and algebras with applications to physics, geometry, and mechanics. Zbl 0595.22017
Sattinger, D. H.; Weaver, O. L.
1986
Recent progress in bifurcation theory. Zbl 0466.58016
Sattinger, D. H.
1978
Bifurcating time periodic solutions and their stability. Zbl 0239.76057
Joseph, D. D.; Sattinger, D. H.
1972
Inverse scattering solutions of the Hunter-Saxton equation. Zbl 1020.35092
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2001
The mathematical problem of hydrodynamic stability. Zbl 0198.30401
Sattinger, D. H.
1970
Bifurcation and symmetry breaking in applied mathematics. Zbl 0448.35011
Sattinger, D. H.
1980
Group representation theory, bifurcation theory and pattern formation. Zbl 0416.47027
Sattinger, D. H.
1978
Loss of stability and bifurcation at a double eigenvalue. Zbl 0275.47045
McLeod, J. B.; Sattinger, D. H.
1973
Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients. Zbl 0155.16401
Hurd, A. E.; Sattinger, D. H.
1968
Branching in the presence of symmetry. Zbl 0516.58016
Sattinger, D. H.
1983
Weighted norms for the stability of traveling waves. Zbl 0315.35010
Sattinger, D. H.
1977
Transformation groups and bifurcation at multiple eigenvalues. Zbl 0268.35042
Sattinger, D. H.
1973
Stability of bifurcating solutions by Leray-Schauder degree. Zbl 0232.34027
Sattinger, D. H.
1971
Conformal metrics in $$R^2$$ with prescribed curvature. Zbl 0236.53009
Sattinger, D. H.
1972
Bifurcation of periodic solutions of the Navier-Stokes equations. Zbl 0222.76022
Sattinger, D. H.
1971
Gauge theory of Bäcklund transformations. II. Zbl 0658.35080
Sattinger, D. H.; Zurkowski, V. D.
1987
Group representation theory and branch points of nonlinear functional equations. Zbl 0396.47040
Sattinger, D. H.
1977
A nonlinear parabolic system in the theory of combustion. Zbl 0315.35008
Sattinger, D. H.
1975
On the free surface of a viscous fluid motion. Zbl 0329.76033
Sattinger, D. H.
1976
Peakon-antipeakon interaction. Zbl 0977.35106
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2001
On the complete integrability of completely integrable systems. Zbl 0727.58022
Beals, Richard; Sattinger, D. H.
1991
Hamiltonian hierarchies on semisimple Lie algebras. Zbl 0584.58022
Sattinger, D. H.
1985
Soliton collisions in the ion acoustic plasma equations. Zbl 0934.35148
Li, Yi; Sattinger, D. H.
1999
Stability of nonlinear hyperbolic equations. Zbl 0157.17201
Sattinger, D. H.
1968
A Riemann-Hilbert problem for an energy dependent Schrödinger operator. Zbl 0863.35074
Sattinger, David H.; Szmigielski, Jacek
1996
Fredholm determinants and the $$\tau$$ function for the Kadomtsev- Petviashvili hierarchy. Zbl 0694.35146
Pöppe, Ch.; Sattinger, D. H.
1988
Bifurcation from rotationally invariant states. Zbl 0401.47030
Sattinger, D. H.
1978
Nonlinear problems in the physical sciences and biology. Proceedings of a Battelle Summer Institute, Seattle, July 3-28, 1972. Zbl 0254.00025
Stakgold, Ivar (ed.); Joseph, Daniel D. (ed.); Sattinger, David H. (ed.)
1973
Peakons, strings, and the finite Toda lattice. Zbl 1023.37039
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2001
Scaling limits and models in physical processes. Zbl 0912.35149
Cercignani, Carlo; Sattinger, David H.
1998
Théorie des représentations des groupes et applications à la théorie de la bifurcation. Zbl 0498.58007
Sattinger, D.
1982
On the total variation of solutions of parabolic equations. Zbl 0169.43603
Sattinger, D. H.
1969
On the spectrum of an operator occurring in the theory of hydrodynamic stability. Zbl 0144.47006
Rosencrans, S. I.; Sattinger, D. H.
1966
Energy dependent scattering theory. Zbl 0831.35152
Sattinger, David H.; Szmigielski, Jacek
1995
Stability of solutions of nonlinear equations. Zbl 0261.35005
Sattinger, D. H.
1972
The string density problem and the Camassa-Holm equation. Zbl 1152.35468
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2007
Integrable systems and isomonodromy deformations. Zbl 0795.35077
Beals, Richard; Sattinger, David H.
1993
Factorization and the dressing method for the Gel’fand-Dikii hierarchy. Zbl 0770.34060
Sattinger, D. H.; Szmigielski, J. S.
1993
On the Rayleigh problem in hydrodynamic stability. Zbl 0168.23301
Sattinger, D. H.
1967
Solitary wave interactions of the Euler-Poisson equations. Zbl 1044.35045
Haragus, M.; Nicholls, D. P.; Sattinger, D. H.
2003
Inversion of the linearized Korteweg-de Vries equation at the multi-soliton solutions. Zbl 0904.35076
Hărăguş-Courcelle, M.; Sattinger, D. H.
1998
Stability of nonlinear parabolic systems. Zbl 0192.45002
Sattinger, D. H.
1968
Flat connections and scattering theory on the line. Zbl 0715.34022
Sattinger, D. H.
1990
Spontaneous symmetry breaking in nonlinear problems. Zbl 0447.58016
Sattinger, D. H.
1979
Pattern formation in convective phenomena. Zbl 0369.76041
Sattinger, D. H.
1976
The eigenvalues of an integral equation in anisotropic neutron transport theory. Zbl 0144.15601
Sattinger, D. H.
1966
Gravitation and special relativity. Zbl 1339.83015
Sattinger, D. H.
2015
Variational principles for water waves. Zbl 1153.35065
Kolev, B.; Sattinger, D. H.
2006
Periodic peakons and Calogero-Françoise flows. Zbl 1064.35162
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2005
Selection mechanisms for pattern formation. Zbl 0431.76040
Sattinger, D. H.
1977
Six lectures on the transition to instability. Zbl 0259.35015
Sattinger, D. H.
1973
On the universality of Maxwell’s equations. Zbl 1443.83009
Sattinger, D. H.
2018
Inverse scattering and some finite-dimensional integrable systems. Zbl 1044.35068
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2003
Continued fractions and integrable systems. Zbl 1021.37041
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2003
Calogero-Françoise flows and periodic peakons. Zbl 1067.37071
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2002
Action-angle variables for the Gel’fand-Dikii flows. Zbl 0754.35134
Beals, Richard; Sattinger, D. H.
1992
Complete integrability of “completely integrable” systems. Zbl 0743.35065
Beals, Richard; Sattinger, David
1991
Solitons in physics, mathematics, and nonlinear optics. Proceedings of two workshops which were an integral part of the 1988-89 IMA program on nonlinear waves. Zbl 0698.00028
Olver, Peter J. (ed.); Sattinger, David H. (ed.)
1990
Gauge theory of Bäcklund transformations. I. Zbl 0643.35092
Sattinger, D. H.; Zurkowski, V. D.
1987
Bifurcation from spherical symmetry. Zbl 0535.58012
Sattinger, D. H.
1983
Les symetries des équations et leurs applications dans la mécanique et la physique. Zbl 0509.35001
Sattinger, D. H.
1980
Selection mechanisms in symmetry breaking phenomena. Zbl 0442.35006
Sattinger, D. H.
1980
Cooperative effects in fluid problems. Zbl 0385.76001
Sattinger, D. H.
1977
Stability of travelling waves of nonlinear parabolic equations. Zbl 0359.35038
Sattinger, D. H.
1977
A singular eigenfunction expansion in anisotropic transport theory. Zbl 0146.35901
Sattinger, D. H.
1966
On the universality of Maxwell’s equations. Zbl 1443.83009
Sattinger, D. H.
2018
Gravitation and special relativity. Zbl 1339.83015
Sattinger, D. H.
2015
The string density problem and the Camassa-Holm equation. Zbl 1152.35468
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2007
Variational principles for water waves. Zbl 1153.35065
Kolev, B.; Sattinger, D. H.
2006
Periodic peakons and Calogero-Françoise flows. Zbl 1064.35162
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2005
Solitary wave interactions of the Euler-Poisson equations. Zbl 1044.35045
Haragus, M.; Nicholls, D. P.; Sattinger, D. H.
2003
Inverse scattering and some finite-dimensional integrable systems. Zbl 1044.35068
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2003
Continued fractions and integrable systems. Zbl 1021.37041
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2003
Calogero-Françoise flows and periodic peakons. Zbl 1067.37071
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2002
Inverse scattering solutions of the Hunter-Saxton equation. Zbl 1020.35092
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2001
Peakon-antipeakon interaction. Zbl 0977.35106
Beals, R.; Sattinger, D. H.; Szmigielski, J.
2001
Peakons, strings, and the finite Toda lattice. Zbl 1023.37039
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2001
Multipeakons and the classical moment problem. Zbl 0968.35008
Beals, Richard; Sattinger, David H.; Szmigielski, Jacek
2000
Multi-peakons and a theorem of Stieltjes. Zbl 0923.35154
Beals, R.; Sattinger, D. H.; Szmigielski, J.
1999
Soliton collisions in the ion acoustic plasma equations. Zbl 0934.35148
Li, Yi; Sattinger, D. H.
1999
Acoustic scattering and the extended Korteweg-de Vries hierarchy. Zbl 0919.35118
Beals, R.; Sattinger, D. H.; Szmigielski, J.
1998
Scaling limits and models in physical processes. Zbl 0912.35149
Cercignani, Carlo; Sattinger, David H.
1998
Inversion of the linearized Korteweg-de Vries equation at the multi-soliton solutions. Zbl 0904.35076
Hărăguş-Courcelle, M.; Sattinger, D. H.
1998
A Riemann-Hilbert problem for an energy dependent Schrödinger operator. Zbl 0863.35074
Sattinger, David H.; Szmigielski, Jacek
1996
Energy dependent scattering theory. Zbl 0831.35152
Sattinger, David H.; Szmigielski, Jacek
1995
Integrable systems and isomonodromy deformations. Zbl 0795.35077
Beals, Richard; Sattinger, David H.
1993
Factorization and the dressing method for the Gel’fand-Dikii hierarchy. Zbl 0770.34060
Sattinger, D. H.; Szmigielski, J. S.
1993
Action-angle variables for the Gel’fand-Dikii flows. Zbl 0754.35134
Beals, Richard; Sattinger, D. H.
1992
On the complete integrability of completely integrable systems. Zbl 0727.58022
Beals, Richard; Sattinger, D. H.
1991
Complete integrability of “completely integrable” systems. Zbl 0743.35065
Beals, Richard; Sattinger, David
1991
Flat connections and scattering theory on the line. Zbl 0715.34022
Sattinger, D. H.
1990
Solitons in physics, mathematics, and nonlinear optics. Proceedings of two workshops which were an integral part of the 1988-89 IMA program on nonlinear waves. Zbl 0698.00028
Olver, Peter J. (ed.); Sattinger, David H. (ed.)
1990
Fredholm determinants and the $$\tau$$ function for the Kadomtsev- Petviashvili hierarchy. Zbl 0694.35146
Pöppe, Ch.; Sattinger, D. H.
1988
Gauge theory of Bäcklund transformations. II. Zbl 0658.35080
Sattinger, D. H.; Zurkowski, V. D.
1987
Gauge theory of Bäcklund transformations. I. Zbl 0643.35092
Sattinger, D. H.; Zurkowski, V. D.
1987
Lie groups and algebras with applications to physics, geometry, and mechanics. Zbl 0595.22017
Sattinger, D. H.; Weaver, O. L.
1986
Hamiltonian hierarchies on semisimple Lie algebras. Zbl 0584.58022
Sattinger, D. H.
1985
Branching in the presence of symmetry. Zbl 0516.58016
Sattinger, D. H.
1983
Bifurcation from spherical symmetry. Zbl 0535.58012
Sattinger, D. H.
1983
Théorie des représentations des groupes et applications à la théorie de la bifurcation. Zbl 0498.58007
Sattinger, D.
1982
Bifurcation and symmetry breaking in applied mathematics. Zbl 0448.35011
Sattinger, D. H.
1980
Les symetries des équations et leurs applications dans la mécanique et la physique. Zbl 0509.35001
Sattinger, D. H.
1980
Selection mechanisms in symmetry breaking phenomena. Zbl 0442.35006
Sattinger, D. H.
1980
Group theoretic methods in bifurcation theory. With an appendix by P. Olver. Zbl 0414.58013
Sattinger, D. H.
1979
Spontaneous symmetry breaking in nonlinear problems. Zbl 0447.58016
Sattinger, D. H.
1979
Recent progress in bifurcation theory. Zbl 0466.58016
Sattinger, D. H.
1978
Group representation theory, bifurcation theory and pattern formation. Zbl 0416.47027
Sattinger, D. H.
1978
Bifurcation from rotationally invariant states. Zbl 0401.47030
Sattinger, D. H.
1978
Weighted norms for the stability of traveling waves. Zbl 0315.35010
Sattinger, D. H.
1977
Group representation theory and branch points of nonlinear functional equations. Zbl 0396.47040
Sattinger, D. H.
1977
Selection mechanisms for pattern formation. Zbl 0431.76040
Sattinger, D. H.
1977
Cooperative effects in fluid problems. Zbl 0385.76001
Sattinger, D. H.
1977
Stability of travelling waves of nonlinear parabolic equations. Zbl 0359.35038
Sattinger, D. H.
1977
Saddle points and instability of nonlinear hyperbolic equations. Zbl 0317.35059
Payne, L. E.; Sattinger, D. H.
1976
On the stability of waves of nonlinear parabolic systems. Zbl 0344.35051
Sattinger, D. H.
1976
On the free surface of a viscous fluid motion. Zbl 0329.76033
Sattinger, D. H.
1976
Pattern formation in convective phenomena. Zbl 0369.76041
Sattinger, D. H.
1976
A nonlinear parabolic system in the theory of combustion. Zbl 0315.35008
Sattinger, D. H.
1975
Topics in stability and bifurcation theory. Zbl 0248.35003
Sattinger, David H.
1973
Loss of stability and bifurcation at a double eigenvalue. Zbl 0275.47045
McLeod, J. B.; Sattinger, D. H.
1973
Transformation groups and bifurcation at multiple eigenvalues. Zbl 0268.35042
Sattinger, D. H.
1973
Nonlinear problems in the physical sciences and biology. Proceedings of a Battelle Summer Institute, Seattle, July 3-28, 1972. Zbl 0254.00025
Stakgold, Ivar (ed.); Joseph, Daniel D. (ed.); Sattinger, David H. (ed.)
1973
Six lectures on the transition to instability. Zbl 0259.35015
Sattinger, D. H.
1973
Monotone methods in nonlinear elliptic and parabolic boundary value problems. Zbl 0223.35038
Sattinger, David H.
1972
Bifurcating time periodic solutions and their stability. Zbl 0239.76057
Joseph, D. D.; Sattinger, D. H.
1972
Conformal metrics in $$R^2$$ with prescribed curvature. Zbl 0236.53009
Sattinger, D. H.
1972
Stability of solutions of nonlinear equations. Zbl 0261.35005
Sattinger, D. H.
1972
Stability of bifurcating solutions by Leray-Schauder degree. Zbl 0232.34027
Sattinger, D. H.
1971
Bifurcation of periodic solutions of the Navier-Stokes equations. Zbl 0222.76022
Sattinger, D. H.
1971
The mathematical problem of hydrodynamic stability. Zbl 0198.30401
Sattinger, D. H.
1970
On the total variation of solutions of parabolic equations. Zbl 0169.43603
Sattinger, D. H.
1969
On global solution of nonlinear hyperbolic equations. Zbl 0159.39102
Sattinger, D. H.
1968
Questions of existence and uniqueness for hyperbolic equations with discontinuous coefficients. Zbl 0155.16401
Hurd, A. E.; Sattinger, D. H.
1968
Stability of nonlinear hyperbolic equations. Zbl 0157.17201
Sattinger, D. H.
1968
Stability of nonlinear parabolic systems. Zbl 0192.45002
Sattinger, D. H.
1968
On the Rayleigh problem in hydrodynamic stability. Zbl 0168.23301
Sattinger, D. H.
1967
On the spectrum of an operator occurring in the theory of hydrodynamic stability. Zbl 0144.47006
Rosencrans, S. I.; Sattinger, D. H.
1966
The eigenvalues of an integral equation in anisotropic neutron transport theory. Zbl 0144.15601
Sattinger, D. H.
1966
A singular eigenfunction expansion in anisotropic transport theory. Zbl 0146.35901
Sattinger, D. H.
1966
all top 5

#### Cited by 2,228 Authors

 42 Yin, Zhaoyang 27 Sattinger, David H. 25 Xu, Runzhang 22 Saanouni, Tarek 21 Pao, Chia-Ven 18 Szmigielski, Jacek 18 Zhang, Jian 17 Shen, Wenxian 16 Liu, Yue 16 Zumbrun, Kevin R. 15 Ye, Yaojun 14 Roquejoffre, Jean-Michel 13 Ikeda, Kiyohiro 13 Zhou, Jun 12 Rammaha, Mohammad A. 11 Levine, Howard Allen 10 Beals, Richard W. 10 Esquivel-Avila, Jorge Alfredo 10 Golubitsky, Martin A. 10 Holden, Helge 10 Lakshmikantham, Vangipuram 10 López-Gómez, Julián 10 McKenna, Patrick Joseph 10 Ni, Wei-Ming 10 Qiao, Zhijun 10 Sather, Duane 10 Tian, Lixin 9 Bandle, Catherine 9 Chang, Xiangke 9 Gaeta, Giuseppe 9 Guo, Zongming 9 Hamel, François 9 Nakanishi, Kenji 9 Shivaji, Ratnasingham 9 Tesei, Alberto 8 Dancer, Edward Norman 8 Eckhardt, Jonathan 8 Gan, Zaihui 8 Guo, Boling 8 Himonas, A. Alexandrou 8 Joseph, Daniel D. 8 Korman, Philip L. 8 Li, Wan-Tong 8 Liu, Wenjun J. 8 Liu, Yacheng 8 Mu, Chunlai 8 Nakao, Mitsuhiro 8 Nefedov, Nikolaĭ Nikolaevich 8 Qu, Changzheng 8 Shen, Chunyu 8 Shu, Ji 8 Wang, Mingxin 8 Wang, Zhi Cheng 8 Wu, Xinglong 8 Zhou, Shouming 7 Galdi, Giovanni Paolo 7 Guan, Chunxia 7 Han, Yuzhu 7 Hu, Xingbiao 7 Lenells, Jonatan 7 Leung, Anthony Wing-Kwok 7 Stewart, Ian Nicholas 7 Yang, Yanbing 6 Brauner, Claude-Michel 6 Chen, Hua 6 Chen, Xinfu 6 Choi, Yung-Sze 6 Healey, Timothy J. 6 Iooss, Gérard 6 Knightly, George H. 6 Lauterbach, Reiner 6 Liang, Fei 6 Liu, Baiyu 6 Liu, Gongwei 6 Mi, Yongsheng 6 Mimura, Masayasu 6 Murota, Kazuo 6 Nguyen Xuan Tan 6 Novruzov, Emil B. 6 Rigoli, Marco 6 Zhang, Hongwei 5 Bu, Zhenhui 5 Carl, Siegfried 5 Carroll, Robert L. 5 Chandra, Jagdish 5 Chossat, Pascal 5 Constantin, Adrian 5 de Mottoni, Piero 5 Di, Huafei 5 Du, Yihong 5 Escher, Joachim 5 Fife, Paul C. 5 Galaktionov, Victor Aleksandrovich 5 Gao, Hongjun 5 Gesztesy, Fritz 5 Hou, Xiaojie 5 Hu, Qiaoyi 5 Hu, Qingying 5 Ivanov, Rossen I. 5 Kostenko, Aleksey S. ...and 2,128 more Authors
all top 5

#### Cited in 302 Serials

 163 Journal of Differential Equations 149 Journal of Mathematical Analysis and Applications 88 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 86 Archive for Rational Mechanics and Analysis 81 Nonlinear Analysis. Theory, Methods & Applications 56 Journal of Mathematical Physics 47 Physica D 46 Applicable Analysis 43 Communications in Mathematical Physics 36 Nonlinear Analysis. Real World Applications 35 Transactions of the American Mathematical Society 31 ZAMP. Zeitschrift für angewandte Mathematik und Physik 31 Journal of Functional Analysis 29 Communications in Partial Differential Equations 28 Journal of Mathematical Biology 28 Applied Mathematics and Computation 27 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 26 Journal of Dynamics and Differential Equations 25 Journal of Nonlinear Mathematical Physics 24 Discrete and Continuous Dynamical Systems 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Mathematical Methods in the Applied Sciences 19 Boundary Value Problems 18 Journal of Computational and Applied Mathematics 17 Proceedings of the American Mathematical Society 16 Computers & Mathematics with Applications 16 Computer Methods in Applied Mechanics and Engineering 15 Bulletin of Mathematical Biology 15 Applied Mathematics Letters 14 Advances in Mathematics 14 Discrete and Continuous Dynamical Systems. Series B 13 Journal of Fluid Mechanics 12 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Letters in Mathematical Physics 11 Chaos, Solitons and Fractals 11 Mathematische Annalen 11 Mathematische Nachrichten 11 Monatshefte für Mathematik 11 Numerische Mathematik 11 Studies in Applied Mathematics 11 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 11 Communications on Pure and Applied Analysis 10 Physics Letters. A 10 Applied Mathematics and Mechanics. (English Edition) 10 Abstract and Applied Analysis 9 Israel Journal of Mathematics 9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 9 Manuscripta Mathematica 9 Acta Applicandae Mathematicae 9 SIAM Journal on Mathematical Analysis 8 Theoretical and Mathematical Physics 8 Computing 8 Mathematische Zeitschrift 8 Japan Journal of Applied Mathematics 8 Journal of Nonlinear Science 8 Bulletin of the American Mathematical Society 8 Science China. Mathematics 8 Advances in Nonlinear Analysis 8 Electronic Research Archive 7 Journal of Computational Physics 7 Mathematical Biosciences 7 Journal of Geometry and Physics 7 Quarterly of Applied Mathematics 7 Zeitschrift für Analysis und ihre Anwendungen 7 Calculus of Variations and Partial Differential Equations 7 NoDEA. Nonlinear Differential Equations and Applications 7 Journal of Inequalities and Applications 7 Journal of Hyperbolic Differential Equations 7 Discrete and Continuous Dynamical Systems. Series S 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Nonlinearity 6 Czechoslovak Mathematical Journal 6 Journal of Soviet Mathematics 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Japan Journal of Industrial and Applied Mathematics 6 Linear Algebra and its Applications 6 Journal of Mathematical Fluid Mechanics 6 Differential Equations 5 Journal of Applied Mathematics and Mechanics 5 Mathematical Notes 5 Rocky Mountain Journal of Mathematics 5 Duke Mathematical Journal 5 Numerical Functional Analysis and Optimization 5 Mathematical and Computer Modelling 5 Journal of Scientific Computing 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Journal of Dynamical and Control Systems 5 Communications in Contemporary Mathematics 5 Advanced Nonlinear Studies 4 Nuclear Physics. B 4 Annales de l’Institut Fourier 4 Integral Equations and Operator Theory 4 Inventiones Mathematicae 4 Mathematics and Computers in Simulation 4 Proceedings of the Japan Academy. Series A 4 Rendiconti del Seminario Matematico della Università di Padova 4 Advances in Applied Mathematics 4 Chinese Annals of Mathematics. Series B 4 Acta Mathematicae Applicatae Sinica. English Series ...and 202 more Serials
all top 5

#### Cited in 53 Fields

 1,574 Partial differential equations (35-XX) 283 Fluid mechanics (76-XX) 266 Dynamical systems and ergodic theory (37-XX) 213 Biology and other natural sciences (92-XX) 210 Ordinary differential equations (34-XX) 121 Numerical analysis (65-XX) 118 Operator theory (47-XX) 98 Mechanics of deformable solids (74-XX) 97 Global analysis, analysis on manifolds (58-XX) 60 Classical thermodynamics, heat transfer (80-XX) 50 Differential geometry (53-XX) 43 Calculus of variations and optimal control; optimization (49-XX) 42 Integral equations (45-XX) 41 Quantum theory (81-XX) 40 Statistical mechanics, structure of matter (82-XX) 33 Systems theory; control (93-XX) 22 Probability theory and stochastic processes (60-XX) 22 Mechanics of particles and systems (70-XX) 17 Nonassociative rings and algebras (17-XX) 17 Topological groups, Lie groups (22-XX) 16 Relativity and gravitational theory (83-XX) 14 Functional analysis (46-XX) 12 Difference and functional equations (39-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Computer science (68-XX) 10 Optics, electromagnetic theory (78-XX) 10 Geophysics (86-XX) 9 Group theory and generalizations (20-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Operations research, mathematical programming (90-XX) 7 Functions of a complex variable (30-XX) 7 Approximations and expansions (41-XX) 6 Commutative algebra (13-XX) 6 Algebraic geometry (14-XX) 6 Special functions (33-XX) 5 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Manifolds and cell complexes (57-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Astronomy and astrophysics (85-XX)