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## Aronson, Donald G.

Compute Distance To:
 Author ID: aronson.donald-g Published as: Aronson, D. G.; Aronson, Don; Aronson, Don G.; Aronson, Donald; Aronson, Donald G.
 Documents Indexed: 83 Publications since 1956, including 1 Book
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#### Co-Authors

 29 single-authored 9 Angenent, Sigurd Bernardus 6 Vazquez, Juan Luis 5 Othmer, Hans G. 5 Weinberger, Hans Felix 4 Caffarelli, Luis Ángel 4 Doedel, Eusebius J. 4 Krupa, Martin 4 Peletier, Lambertus Adrianus 3 Besala, Piotr 2 Betelú, Santiago I. 2 Golubitsky, Martin A. 2 Huang, Yan-San 2 Huang, Yisong 2 Kamin, Shoshana 2 Levine, Howard Allen 2 Serrin, James 2 van Gils, Stephan A. 1 Aris, Rutherford 1 Ashwin, Peter 1 Bénilan, Philippe 1 Chory, M. A. 1 Conley, Elizabeth 1 Crandall, Michael G. 1 Ermentrout, George Bard 1 Farina, Alberto 1 Friedman, Avner 1 Gil, Omar 1 Graveleau, J. L. 1 Hall, Glen Richard 1 Hulshof, Josephus 1 Kopell, Nancy J. 1 Leoni, Giovanni 1 Levine, Howard P. 1 Lewis, Mark Alun 1 Li, Bingtuan 1 Lowengrub, John Samuel 1 Ludwig, Donald 1 Lui, Roger 1 Mallet-Paret, John Joseph 1 Mantzaris, Nikos V. 1 Markus, Lawrence 1 McGehee, Richard P. 1 McLeod, John Bryce 1 McLeod, Kevin 1 Meyers, Norman 1 Miller, Willard jun. 1 Olver, Peter John 1 Padrón, Víctor 1 Santosa, Fatil 1 Sattinger, David H. 1 Shigesada, Nanako 1 Stack, Martha 1 Sucha, Janet 1 Swinney, Harry L. 1 Terman, David H. 1 Tesei, Alberto 1 van den Berg, Jan Bouwe 1 Weinberger Hewitt, Sylvia 1 Weinberger, Catherine J. 1 Weinberger, Ralph
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#### Serials

 6 Archive for Rational Mechanics and Analysis 5 Physica D 4 Nonlinearity 4 European Journal of Applied Mathematics 3 SIAM Journal on Applied Mathematics 3 Journal of Nonlinear Science 3 Bulletin of the American Mathematical Society 3 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser 2 Journal of Differential Equations 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Notices of the American Mathematical Society 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Colloquium Mathematicum 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Physics of Fluids 1 Journal of Mathematical Sciences. University of Tokyo 1 Discrete and Continuous Dynamical Systems 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Journal of Mathematics and Mechanics 1 The IMA Volumes in Mathematics and its Applications 1 Journal of Rational Mechanics and Analysis 1 Nonlinear Analysis. Theory, Methods & Applications
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#### Fields

 41 Partial differential equations (35-XX) 24 Fluid mechanics (76-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Ordinary differential equations (34-XX) 11 Biology and other natural sciences (92-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Information and communication theory, circuits (94-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

71 Publications have been cited 3,638 times in 2,845 Documents Cited by Year
Multidimensional nonlinear diffusion arising in population genetics. Zbl 0407.92014
Aronson, D. G.; Weinberger, H. F.
1978
Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation. Zbl 0325.35050
Aronson, D. G.; Weinberger, H. F.
1975
Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050
Aronson, Donald; Crandall, Michael G.; Peletier, L. A.
1982
Non-negative solutions of linear parabolic equations. Zbl 0182.13802
Aronson, D. G.
1968
Bounds for the fundamental solution of a parabolic equation. Zbl 0153.42002
Aronson, D. G.
1967
The porous medium equation. Zbl 0626.76097
Aronson, D. G.
1986
Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001
Aronson, D. G.; Serrin, J.
1967
Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study. Zbl 0499.70034
Aronson, D. G.; Chory, M. A.; Hall, G. R.; McGehee, R. P.
1982
Large time behaviour of solutions of the porous medium equation in bounded domains. Zbl 0475.35059
Aronson, D. G.; Peletier, L. A.
1981
Regularity properties of flows through porous media. Zbl 0187.03401
Aronson, D. G.
1969
Regularity properties of flows through porous media: The interface. Zbl 0202.37901
Aronson, D. G.
1970
Régularité des solutions de l’équation des milieux poreux dans $$\mathbb{R}^N$$. Zbl 0397.35034
Aronson, Donald G.; Bénilan, Philippe
1979
Amplitude response of coupled oscillators. Zbl 0703.34047
Aronson, D. G.; Ermentrout, G. B.; Kopell, N.
1990
The initial trace of a solution of the porous medium equation. Zbl 0556.76084
Aronson, D. G.; Caffarelli, L. A.
1983
Spatial patterning of the spruce budworm. Zbl 0412.92020
Ludwig, D.; Aronson, D. G.; Weinberger, H. F.
1979
Regularity properties of flows through porous media: A counterexample. Zbl 0255.76099
Aronson, D. G.
1970
The asymptotic speed of propagation of a simple epidemic. Zbl 0361.35011
Aronson, D. G.
1977
How an initially stationary interface begins to move in porous medium flow. Zbl 0542.76119
Aronson, D. G.; Caffarelli, L. A.; Kamin, S.
1983
A selfsimilar solution to the focusing problem for the porous medium equation. Zbl 0780.35079
Aronson, D. G.; Graveleau, J.
1993
Coupled arrays of Josephson junctions and bifurcation of maps with $$S_ N$$ symmetry. Zbl 0803.58040
Aronson, D. G.; Golubitsky, Martin; Krupa, Martin
1991
Parabolic equations with unbounded coefficients. Zbl 0149.06804
Aronson, D. G.; Besala, P.
1967
A comparison method for stability analysis of nonlinear parabolic problems. Zbl 0384.35035
Aronson, D. G.
1978
Ponies on a merry-go-round in large arrays of Josephson junctions. Zbl 0732.58031
Aronson, D. G.; Golubitsky, Martin; Mallet-Paret, John
1991
The focusing problem for the radially symmetric porous medium equation. Zbl 0830.35062
Angenent, S. B.; Aronson, D. G.
1995
Uniqueness of positive solutions of parabolic equations with unbounded coefficients. Zbl 0157.17404
Aronson, D. G.; Besala, P.
1967
On the Green’s function for second order parabolic differential equations with discontinuous coefficients. Zbl 0154.11903
Aronson, D. G.
1963
Eventual $$C^{\infty}$$-regularity and concavity for flows in one- dimensional porous media. Zbl 0642.76108
Aronson, D. G.; Vazquez, J. L.
1987
Uniqueness of solutions of the Cauchy problem for parabolic equations. Zbl 0137.29501
Aronson, D. G.; Besala, P.
1966
An analytical and numerical study of the bifurcations in a system of linearly-coupled oscillators. Zbl 0624.34029
Aronson, D. G.; Doedel, E. J.; Othmer, H. G.
1987
The role of diffusion in mathematical population biology: Skellam revisited. Zbl 0583.92016
Aronson, D. G.
1985
Interfaces with a corner point in one-dimensional porous medium flow. Zbl 0544.35058
Aronson, D. G.; Caffarelli, L. A.; Vazquez, J. L.
1985
Removable singularities for linear parabolic equations. Zbl 0128.09402
Aronson, D. G.
1964
The fundamental solution of a linear parabolic equation containing a small parameter. Zbl 0090.07601
Aronson, D. G.
1959
Uniqueness of positive weak solutions of second order parabolic equations. Zbl 0137.29403
Aronson, D. G.
1965
A density-dependent diffusion system with stable discontinuous stationary solutions. Zbl 0673.35054
Aronson, D. G.; Tesei, A.; Weinberger, H.
1988
Limit behaviour of focusing solutions to nonlinear diffusions. Zbl 0895.35055
Aronson, D. G.; Gil, O.; Vázquez, J. L.
1998
Nonlinear diffusion problems. Zbl 0529.35046
Aronson, D. G.
1983
Widder’s inversion theorem and the initial distribution problem. Zbl 0483.35080
Aronson, D. G.
1981
Global stability of symmetric and asymmetric concentration profiles in catalyst particles. Zbl 0318.35050
Aronson, D. G.; Peletier, L. A.
1974
On the stability of certain finite difference approximations to parabolic systems of differential equations. Zbl 0115.34802
Aronson, D. G.
1963
Focusing of an elongated hole in porous medium flow. Zbl 0989.35082
Angenent, S. B.; Aronson, D. G.; Betelu, S. I.; Lowengrub, J. S.
2001
Isolated singularities of solutions of second order parabolic equations. Zbl 0143.13705
Aronson, D. G.
1965
Renormalization study of two-dimensional convergent solutions of the porous medium equation. Zbl 0958.76088
Betelú, S. I.; Aronson, D. G.; Angenent, S. B.
2000
The dynamics of coupled current-biased Josephson junctions. II. Zbl 0756.34039
Aronson, D. G.; Doedel, E. J.; Othmer, Hans G.
1991
Some properties of the interface for a gas flow in porous media. Zbl 0513.35079
Aronson, D. G.
1983
Non-negative solutions of linear parabolic equations: an addendum. Zbl 0223.35046
Aronson, D. G.
1971
Intermediate asymptotics for convergent viscous gravity currents. Zbl 0832.76020
Angenent, S. B.; Aronson, D. G.
1995
Anomalous exponents in nonlinear diffusion. Zbl 0828.35053
Aronson, D. G.; Vazquez, J. L.
1995
Limit and uniqueness of discrete rotating waves in large arrays of Josephson junctions. Zbl 0803.34026
Aronson, D. G.; Huang, Y. S.
1994
The porous medium equation as a finite-speed approximation to a Hamilton- Jacobi equation. Zbl 0635.35047
Aronson, D. G.; Vazquez, J. L.
1987
A maximum principle for nonlinear parabolic equations. Zbl 0148.34803
Aronson, D. G.; Serrin, James
1967
Homoclinic twist bifurcations with $$\mathbb{Z}_ 2$$ symmetry. Zbl 0799.58052
Aronson, D. G.; van Gils, S. A.; Krupa, M.
1994
Optimal regularity for one-dimensional porous medium flow. Zbl 0625.76102
Aronson, D. G.; Caffarelli, L. A.
1986
The stability of finite difference approximations to second order linear parabolic differential equations. Zbl 0112.35202
Aronson, D. G.
1963
On the initial value problem for parabolic systems of differential equations. Zbl 0116.07202
Aronson, D. G.
1959
Linear parabolic differential equations containing a small parameter. Zbl 0073.31803
Aronson, D. G.
1956
Wave propagation and blocking in inhomogeneous media. Zbl 1146.35091
Aronson, D. G.; Mantzaris, N. V.; Othmer, H. G.
2005
Parametric dependence of exponents and eigenvalues in focusing porous media flows. Zbl 1052.76065
Aronson, Don G.; Van den Berg, Jan Bouwe; Hulshof, Josephus
2003
Single waveform solutions for linear arrays of Josephson junctions. Zbl 0884.34013
Aronson, D. G.; Huang, Y. S.
1997
Non-axial self-similar hole filling for the porous medium equation. Zbl 0973.35115
Angenent, S. B.; Aronson, D. G.
2001
Semirotors in the Josephson junction equations. Zbl 0843.34041
Aronson, D. G.; Krupa, M.; Ashwin, P.
1996
Uniqueness of solutions of the initial value problem for parabolic systems of differential equations. Zbl 0143.13801
Aronson, D. G.
1962
Pattern formation in a model of an injured nerve fiber. Zbl 1192.35182
2009
Optimal asymptotics for solutions to the initial value problem for the porous medium equation. Zbl 0886.35112
Angenent, S. B.; Aronson, D. G.
1996
Regularity of flows in porous media: A survey. Zbl 0694.35095
Aronson, D. G.
1988
Bifurcation phenomena associated with nonlinear diffusion mechanisms. Zbl 0568.35053
Aronson, D. G.
1984
The focusing problem for the porous medium equation: experiment, simulation and analysis. Zbl 1386.35221
Aronson, D. G.
2016
Self-similarity in the post-focussing regime in porous medium flows. Zbl 0861.35049
Angenent, S. B.; Aronson, D. G.
1996
The focusing problem for the eikonal equation. Zbl 1033.35023
Angenent, S. B.; Aronson, D. G.
2003
A codimension-two-point associated with coupled Josephson junctions. Zbl 0907.58049
Aronson, D. G.; Doedel, E. J.; Terman, D. H.
1997
The dynamics of a degenerate reaction diffusion equation. Zbl 0821.35013
Angenent, Sigurd B.; Aronson, Donald G.
1994
The focusing problem for the porous medium equation: experiment, simulation and analysis. Zbl 1386.35221
Aronson, D. G.
2016
Pattern formation in a model of an injured nerve fiber. Zbl 1192.35182
2009
Wave propagation and blocking in inhomogeneous media. Zbl 1146.35091
Aronson, D. G.; Mantzaris, N. V.; Othmer, H. G.
2005
Parametric dependence of exponents and eigenvalues in focusing porous media flows. Zbl 1052.76065
Aronson, Don G.; Van den Berg, Jan Bouwe; Hulshof, Josephus
2003
The focusing problem for the eikonal equation. Zbl 1033.35023
Angenent, S. B.; Aronson, D. G.
2003
Focusing of an elongated hole in porous medium flow. Zbl 0989.35082
Angenent, S. B.; Aronson, D. G.; Betelu, S. I.; Lowengrub, J. S.
2001
Non-axial self-similar hole filling for the porous medium equation. Zbl 0973.35115
Angenent, S. B.; Aronson, D. G.
2001
Renormalization study of two-dimensional convergent solutions of the porous medium equation. Zbl 0958.76088
Betelú, S. I.; Aronson, D. G.; Angenent, S. B.
2000
Limit behaviour of focusing solutions to nonlinear diffusions. Zbl 0895.35055
Aronson, D. G.; Gil, O.; Vázquez, J. L.
1998
Single waveform solutions for linear arrays of Josephson junctions. Zbl 0884.34013
Aronson, D. G.; Huang, Y. S.
1997
A codimension-two-point associated with coupled Josephson junctions. Zbl 0907.58049
Aronson, D. G.; Doedel, E. J.; Terman, D. H.
1997
Semirotors in the Josephson junction equations. Zbl 0843.34041
Aronson, D. G.; Krupa, M.; Ashwin, P.
1996
Optimal asymptotics for solutions to the initial value problem for the porous medium equation. Zbl 0886.35112
Angenent, S. B.; Aronson, D. G.
1996
Self-similarity in the post-focussing regime in porous medium flows. Zbl 0861.35049
Angenent, S. B.; Aronson, D. G.
1996
The focusing problem for the radially symmetric porous medium equation. Zbl 0830.35062
Angenent, S. B.; Aronson, D. G.
1995
Intermediate asymptotics for convergent viscous gravity currents. Zbl 0832.76020
Angenent, S. B.; Aronson, D. G.
1995
Anomalous exponents in nonlinear diffusion. Zbl 0828.35053
Aronson, D. G.; Vazquez, J. L.
1995
Limit and uniqueness of discrete rotating waves in large arrays of Josephson junctions. Zbl 0803.34026
Aronson, D. G.; Huang, Y. S.
1994
Homoclinic twist bifurcations with $$\mathbb{Z}_ 2$$ symmetry. Zbl 0799.58052
Aronson, D. G.; van Gils, S. A.; Krupa, M.
1994
The dynamics of a degenerate reaction diffusion equation. Zbl 0821.35013
Angenent, Sigurd B.; Aronson, Donald G.
1994
A selfsimilar solution to the focusing problem for the porous medium equation. Zbl 0780.35079
Aronson, D. G.; Graveleau, J.
1993
Coupled arrays of Josephson junctions and bifurcation of maps with $$S_ N$$ symmetry. Zbl 0803.58040
Aronson, D. G.; Golubitsky, Martin; Krupa, Martin
1991
Ponies on a merry-go-round in large arrays of Josephson junctions. Zbl 0732.58031
Aronson, D. G.; Golubitsky, Martin; Mallet-Paret, John
1991
The dynamics of coupled current-biased Josephson junctions. II. Zbl 0756.34039
Aronson, D. G.; Doedel, E. J.; Othmer, Hans G.
1991
Amplitude response of coupled oscillators. Zbl 0703.34047
Aronson, D. G.; Ermentrout, G. B.; Kopell, N.
1990
A density-dependent diffusion system with stable discontinuous stationary solutions. Zbl 0673.35054
Aronson, D. G.; Tesei, A.; Weinberger, H.
1988
Regularity of flows in porous media: A survey. Zbl 0694.35095
Aronson, D. G.
1988
Eventual $$C^{\infty}$$-regularity and concavity for flows in one- dimensional porous media. Zbl 0642.76108
Aronson, D. G.; Vazquez, J. L.
1987
An analytical and numerical study of the bifurcations in a system of linearly-coupled oscillators. Zbl 0624.34029
Aronson, D. G.; Doedel, E. J.; Othmer, H. G.
1987
The porous medium equation as a finite-speed approximation to a Hamilton- Jacobi equation. Zbl 0635.35047
Aronson, D. G.; Vazquez, J. L.
1987
The porous medium equation. Zbl 0626.76097
Aronson, D. G.
1986
Optimal regularity for one-dimensional porous medium flow. Zbl 0625.76102
Aronson, D. G.; Caffarelli, L. A.
1986
The role of diffusion in mathematical population biology: Skellam revisited. Zbl 0583.92016
Aronson, D. G.
1985
Interfaces with a corner point in one-dimensional porous medium flow. Zbl 0544.35058
Aronson, D. G.; Caffarelli, L. A.; Vazquez, J. L.
1985
Bifurcation phenomena associated with nonlinear diffusion mechanisms. Zbl 0568.35053
Aronson, D. G.
1984
The initial trace of a solution of the porous medium equation. Zbl 0556.76084
Aronson, D. G.; Caffarelli, L. A.
1983
How an initially stationary interface begins to move in porous medium flow. Zbl 0542.76119
Aronson, D. G.; Caffarelli, L. A.; Kamin, S.
1983
Nonlinear diffusion problems. Zbl 0529.35046
Aronson, D. G.
1983
Some properties of the interface for a gas flow in porous media. Zbl 0513.35079
Aronson, D. G.
1983
Stabilization of solutions of a degenerate nonlinear diffusion problem. Zbl 0518.35050
Aronson, Donald; Crandall, Michael G.; Peletier, L. A.
1982
Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study. Zbl 0499.70034
Aronson, D. G.; Chory, M. A.; Hall, G. R.; McGehee, R. P.
1982
Large time behaviour of solutions of the porous medium equation in bounded domains. Zbl 0475.35059
Aronson, D. G.; Peletier, L. A.
1981
Widder’s inversion theorem and the initial distribution problem. Zbl 0483.35080
Aronson, D. G.
1981
Régularité des solutions de l’équation des milieux poreux dans $$\mathbb{R}^N$$. Zbl 0397.35034
Aronson, Donald G.; Bénilan, Philippe
1979
Spatial patterning of the spruce budworm. Zbl 0412.92020
Ludwig, D.; Aronson, D. G.; Weinberger, H. F.
1979
Multidimensional nonlinear diffusion arising in population genetics. Zbl 0407.92014
Aronson, D. G.; Weinberger, H. F.
1978
A comparison method for stability analysis of nonlinear parabolic problems. Zbl 0384.35035
Aronson, D. G.
1978
The asymptotic speed of propagation of a simple epidemic. Zbl 0361.35011
Aronson, D. G.
1977
Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation. Zbl 0325.35050
Aronson, D. G.; Weinberger, H. F.
1975
Global stability of symmetric and asymmetric concentration profiles in catalyst particles. Zbl 0318.35050
Aronson, D. G.; Peletier, L. A.
1974
Non-negative solutions of linear parabolic equations: an addendum. Zbl 0223.35046
Aronson, D. G.
1971
Regularity properties of flows through porous media: The interface. Zbl 0202.37901
Aronson, D. G.
1970
Regularity properties of flows through porous media: A counterexample. Zbl 0255.76099
Aronson, D. G.
1970
Regularity properties of flows through porous media. Zbl 0187.03401
Aronson, D. G.
1969
Non-negative solutions of linear parabolic equations. Zbl 0182.13802
Aronson, D. G.
1968
Bounds for the fundamental solution of a parabolic equation. Zbl 0153.42002
Aronson, D. G.
1967
Local behavior of solutions of quasilinear parabolic equations. Zbl 0154.12001
Aronson, D. G.; Serrin, J.
1967
Parabolic equations with unbounded coefficients. Zbl 0149.06804
Aronson, D. G.; Besala, P.
1967
Uniqueness of positive solutions of parabolic equations with unbounded coefficients. Zbl 0157.17404
Aronson, D. G.; Besala, P.
1967
A maximum principle for nonlinear parabolic equations. Zbl 0148.34803
Aronson, D. G.; Serrin, James
1967
Uniqueness of solutions of the Cauchy problem for parabolic equations. Zbl 0137.29501
Aronson, D. G.; Besala, P.
1966
Uniqueness of positive weak solutions of second order parabolic equations. Zbl 0137.29403
Aronson, D. G.
1965
Isolated singularities of solutions of second order parabolic equations. Zbl 0143.13705
Aronson, D. G.
1965
Removable singularities for linear parabolic equations. Zbl 0128.09402
Aronson, D. G.
1964
On the Green’s function for second order parabolic differential equations with discontinuous coefficients. Zbl 0154.11903
Aronson, D. G.
1963
On the stability of certain finite difference approximations to parabolic systems of differential equations. Zbl 0115.34802
Aronson, D. G.
1963
The stability of finite difference approximations to second order linear parabolic differential equations. Zbl 0112.35202
Aronson, D. G.
1963
Uniqueness of solutions of the initial value problem for parabolic systems of differential equations. Zbl 0143.13801
Aronson, D. G.
1962
The fundamental solution of a linear parabolic equation containing a small parameter. Zbl 0090.07601
Aronson, D. G.
1959
On the initial value problem for parabolic systems of differential equations. Zbl 0116.07202
Aronson, D. G.
1959
Linear parabolic differential equations containing a small parameter. Zbl 0073.31803
Aronson, D. G.
1956
all top 5

#### Cited by 2,995 Authors

 60 Vazquez, Juan Luis 39 Hamel, François 30 Aronson, Donald G. 27 Berestycki, Henri 27 Peletier, Lambertus Adrianus 25 Shen, Wenxian 24 Roquejoffre, Jean-Michel 24 Wong, Patricia J. Y. 20 Agarwal, Ravi P. 20 Bertsch, Michiel 20 Li, Wan-Tong 17 Nadin, Grégoire 17 Punzo, Fabio 17 Zhang, Qi-Shuhuason 16 Lin, Guo 16 Quirós Gracián, Fernando 16 Rossi, Luca 16 Tesei, Alberto 15 Bonforte, Matteo 15 Chen, Xinfu 15 Du, Yihong 15 Guo, Jong-Shenq 15 Qi, Yuanwei 14 Cosner, Chris 14 Matano, Hiroshi 13 Pao, Chia-Ven 13 Roques, Lionel J. 13 Winkler, Michael 12 DiBenedetto, Emmanuele 12 Giletti, Thomas 12 Grigor’yan, Alexander Asaturovich 12 Hui, Kin Ming 12 Lou, Bendong 12 Wang, Mingxin 12 Wang, Zhi Cheng 12 Weng, Peixuan 12 Zhao, Xiao-Qiang 11 Alfaro, Matthieu 11 de Pablo, Arturo 11 Filo, Ján 11 Gilding, Brian H. 11 Ishige, Kazuhiro 11 Macías-Díaz, Jorge Eduardo 11 Ruan, Shigui 11 Wang, Zhi Cheng 10 Galaktionov, Victor Aleksandrovich 10 Herrero, Miguel Ángel 10 Hilhorst, Danielle 10 Kevrekidis, Ioannis George 10 Röckner, Michael 10 Saloff-Coste, Laurent 10 Yuan, Rong 10 Zheng, Sining 10 Zou, Xingfu 9 Ashwin, Peter 9 Borkar, Vivek Shripad 9 Cantrell, Robert Stephen 9 de Mottoni, Piero 9 Diaz Diaz, Jesus Ildefonso 9 Ducrot, Arnaud 9 Fife, Paul C. 9 Kamin, Shoshana 9 Kersner, Robert 9 Klimsiak, Tomasz 9 Porzio, Maria Michaela 9 Teo, Kok Lay 9 Vespri, Vincenzo Riccardo 9 Yi, Taishan 9 Zhou, Maolin 8 Angenent, Sigurd Bernardus 8 Denisov, Vasiliĭ Nikolaevich 8 Grillo, Gabriele 8 Gurtin, Morton Edward 8 Kim, Sunghoon 8 Levine, Howard Allen 8 Lewis, Mark Alun 8 Liang, Xing 8 Liu, Lishan 8 Lui, Roger 8 Lutscher, Frithjof 8 Wang, Feng-Yu 8 Wu, Jianhong 8 Xie, Chunhong 8 Yin, Jingxue 7 Alikakos, Nicholas D. 7 Bu, Zhenhui 7 Coville, Jerome 7 Iagar, Razvan Gabriel 7 Kurths, Jürgen 7 Pan, Jiaqing 7 Polidoro, Sergio 7 Radcliffe, John 7 Rass, Linda 7 Rossi, Julio Daniel 7 Rozkosz, Andrzej 7 Sánchez, Ariel 7 Shaposhnikov, Stanislav V. 7 Sheng, WeiJie 7 Skrypnik, Igor Igorievich 7 Vuillermot, Pierre-A. ...and 2,895 more Authors
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#### Cited in 336 Serials

 239 Journal of Differential Equations 151 Journal of Mathematical Analysis and Applications 96 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 81 Nonlinear Analysis. Theory, Methods & Applications 79 Physica D 70 Journal of Mathematical Biology 64 Archive for Rational Mechanics and Analysis 61 Transactions of the American Mathematical Society 58 Journal of Functional Analysis 48 Journal of Dynamics and Differential Equations 45 Communications in Partial Differential Equations 42 Proceedings of the American Mathematical Society 42 Stochastic Processes and their Applications 41 Mathematical Biosciences 39 Applied Mathematics and Computation 39 Journal de Mathématiques Pures et Appliquées. Neuvième Série 36 Annali di Matematica Pura ed Applicata. Serie Quarta 36 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 36 Applied Mathematics Letters 33 Discrete and Continuous Dynamical Systems 32 Chaos 32 Nonlinear Analysis. Real World Applications 29 Applicable Analysis 29 Bulletin of Mathematical Biology 29 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 29 Calculus of Variations and Partial Differential Equations 27 Journal of Computational and Applied Mathematics 26 Computers & Mathematics with Applications 23 Discrete and Continuous Dynamical Systems. Series B 22 Chaos, Solitons and Fractals 22 Journal of Evolution Equations 20 Communications in Mathematical Physics 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Advances in Mathematics 18 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 17 Mathematical Methods in the Applied Sciences 17 The Annals of Probability 17 Mathematische Annalen 17 Acta Mathematicae Applicatae Sinica. English Series 17 Probability Theory and Related Fields 17 SIAM Journal on Mathematical Analysis 17 Journal of Mathematical Sciences (New York) 16 Journal of Mathematical Physics 16 Manuscripta Mathematica 15 Applied Numerical Mathematics 15 Potential Analysis 14 Journal of Difference Equations and Applications 13 Nonlinearity 13 Mathematische Zeitschrift 12 Journal of Computational Physics 12 Rocky Mountain Journal of Mathematics 12 Numerische Mathematik 12 Theoretical Population Biology 12 Japan Journal of Applied Mathematics 12 Journal of Nonlinear Science 12 Communications in Nonlinear Science and Numerical Simulation 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Communications on Pure and Applied Analysis 12 SIAM Journal on Applied Dynamical Systems 12 Advances in Difference Equations 11 Communications on Pure and Applied Mathematics 11 Journal of Statistical Physics 11 Siberian Mathematical Journal 11 Mathematical and Computer Modelling 11 Boundary Value Problems 10 Israel Journal of Mathematics 10 Acta Applicandae Mathematicae 10 European Journal of Applied Mathematics 10 NoDEA. Nonlinear Differential Equations and Applications 9 Mathematical Notes 9 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 9 Applied Mathematics and Optimization 9 Proceedings of the Japan Academy. Series A 9 Nonlinear Dynamics 9 Journal of the European Mathematical Society (JEMS) 9 Bulletin of the American Mathematical Society 8 Journal d’Analyse Mathématique 8 Journal of Theoretical Probability 8 The Journal of Geometric Analysis 8 Journal of Theoretical Biology 7 Duke Mathematical Journal 7 SIAM Journal on Applied Mathematics 7 Communications in Contemporary Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 7 Science China. Mathematics 6 Journal of Optimization Theory and Applications 6 Journal of Soviet Mathematics 6 Rendiconti del Seminario Matematico della Università di Padova 6 Ergodic Theory and Dynamical Systems 6 Chinese Annals of Mathematics. Series B 6 The Annals of Applied Probability 6 Applied Mathematical Modelling 6 Abstract and Applied Analysis 6 Journal of Biological Dynamics 5 Biological Cybernetics 5 Bulletin of the Australian Mathematical Society 5 Journal of Fluid Mechanics 5 Memoirs of the American Mathematical Society 5 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 5 Zeitschrift für Analysis und ihre Anwendungen ...and 236 more Serials
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#### Cited in 46 Fields

 2,060 Partial differential equations (35-XX) 578 Biology and other natural sciences (92-XX) 338 Ordinary differential equations (34-XX) 272 Probability theory and stochastic processes (60-XX) 257 Fluid mechanics (76-XX) 230 Dynamical systems and ergodic theory (37-XX) 198 Numerical analysis (65-XX) 129 Operator theory (47-XX) 105 Global analysis, analysis on manifolds (58-XX) 85 Integral equations (45-XX) 62 Difference and functional equations (39-XX) 61 Classical thermodynamics, heat transfer (80-XX) 60 Statistical mechanics, structure of matter (82-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 48 Potential theory (31-XX) 48 Systems theory; control (93-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Differential geometry (53-XX) 24 Mechanics of deformable solids (74-XX) 21 Mechanics of particles and systems (70-XX) 18 Real functions (26-XX) 16 Functional analysis (46-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 9 Measure and integration (28-XX) 9 Statistics (62-XX) 8 Information and communication theory, circuits (94-XX) 7 Functions of a complex variable (30-XX) 7 Approximations and expansions (41-XX) 6 Combinatorics (05-XX) 6 Computer science (68-XX) 6 Optics, electromagnetic theory (78-XX) 6 Operations research, mathematical programming (90-XX) 5 Topological groups, Lie groups (22-XX) 4 Special functions (33-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Algebraic topology (55-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Abstract harmonic analysis (43-XX) 2 General topology (54-XX) 2 Astronomy and astrophysics (85-XX)