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## Angenent, Sigurd Bernardus

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 Author ID: angenent.sigurd-bernardus Published as: Angenent, S.; Angenent, S. B.; Angenent, Sigurd; Angenent, Sigurd B.; Angenent, Sigurd Bernardus Homepage: http://www.math.wisc.edu/~angenent/ External Links: MGP · Wikidata
 Documents Indexed: 68 Publications since 1985, including 2 Books
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#### Co-Authors

 27 single-authored 9 Aronson, Donald G. 7 Tannenbaum, Allen Robert 5 Knopf, Dan 3 Gurtin, Morton Edward 3 Vandervorst, Robertus C. A. M. 2 Altschuler, Steven J. 2 Betelú, Santiago I. 2 Daskalopoulos, Panagiota 2 Haker, Steven 2 Hulshof, Joost 2 Isenberg, James A. 2 Sesum, Natasa 2 Velázquez, Juan J. L. 1 Altschuler, Dylan J. 1 Caputo, M. Cristina 1 Clément, Philippe J. E. 1 de Pagter, Bernardus 1 Dominitz, Ayelet 1 Fiedler, Bernold 1 Fila, Marek 1 Giga, Yoshikazu 1 Heijmans, Henk J. A. M. 1 Kikinis, Ron 1 Lowengrub, John Samuel 1 Mallet-Paret, John Joseph 1 Matano, Hiroshi 1 Mueller, Marshall 1 Niethammer, Marc 1 Olson, Connor 1 Peletier, Lambertus Adrianus 1 Pichon, Eric 1 Sapiro, Guillermo 1 van den Berg, Jan Bouwe 1 van Duijn, Cornelis Johannes 1 Wu, Lani F. 1 Yezzi, Anthony jun. 1 You, Qian 1 Zeitouni, Ofer
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#### Serials

 5 Journal für die Reine und Angewandte Mathematik 4 Annals of Mathematics. Second Series 2 Nonlinearity 2 Rocky Mountain Journal of Mathematics 2 Journal of Differential Equations 2 Journal of Differential Geometry 2 Mathematische Annalen 2 Transactions of the American Mathematical Society 2 Ergodic Theory and Dynamical Systems 2 Physica D 2 Journal of the American Mathematical Society 2 SIAM Journal on Mathematical Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Duke Mathematical Journal 1 IEEE Transactions on Automatic Control 1 Journal of the London Mathematical Society. Second Series 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 European Journal of Applied Mathematics 1 Differential and Integral Equations 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Communications in Analysis and Geometry 1 Physics of Fluids 1 Journal of Mathematical Sciences. University of Tokyo 1 Mathematical Research Letters 1 Acta Mathematica Sinica. English Series 1 Journal of Evolution Equations 1 Networks and Heterogeneous Media 1 Involve
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#### Fields

 41 Partial differential equations (35-XX) 21 Differential geometry (53-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Fluid mechanics (76-XX) 4 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

61 Publications have been cited 1,411 times in 1,087 Documents Cited by Year
The zero set of a solution of a parabolic equation. Zbl 0644.35050
Angenent, Sigurd
1988
Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface. Zbl 0723.73017
Angenent, Sigurd; Gurtin, Morton E.
1989
One-parameter semigroups. Zbl 0636.47051
Clément, Ph.; Heijmans, H. J. A. M.; Angenent, S.; van Duijn, C. J.; de Pagter, B.
1987
On the formation of singularities in the curve shortening flow. Zbl 0731.53002
Angenent, Sigurd
1991
Nonlinear analytic semiflows. Zbl 0723.34047
Angenent, Sigurd B.
1990
The Morse-Smale property for a semilinear parabolic equation. Zbl 0581.58026
Angenent, S. B.
1986
Shrinking doughnuts. Zbl 0762.53028
Angenent, Sigurd B.
1992
Stable transition layers in a semilinear boundary value problem. Zbl 0634.35041
Angenent, S. B.; Mallet-Paret, John; Peletier, L. A.
1987
Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions. Zbl 0749.58054
Angenent, Sigurd
1991
Mean curvature flow through singularities for surfaces of rotation. Zbl 0847.58072
Altschuler, Steven; Angenent, Sigurd B.; Giga, Yoshikazu
1995
Parabolic equations for curves on surfaces. I: Curves with $$p$$-integrable curvature. Zbl 0789.58070
Angenent, Sigurd
1990
The dynamics of rotating waves in scalar reaction diffusion equations. Zbl 0696.35086
Angenent, S. B.; Fiedler, B.
1988
Uniqueness of the solution of a semilinear boundary value problem. Zbl 0576.35044
Angenent, S. B.
1985
Minimizing flows for the Monge-Kantorovich problem. Zbl 1042.49040
Angenent, Sigurd; Haker, Steven; Tannenbaum, Allen
2003
A superquadratic indefinite elliptic system and its Morse-Conley-Floer homology. Zbl 0939.58015
Angenent, Sigurd; van der Vorst, Robertus
1999
On the affine heat equation for non-convex curves. Zbl 0902.35048
Angenent, Sigurd; Sapiro, Guillermo; Tannenbaum, Allen
1998
Degenerate neckpinches in mean curvature flow. Zbl 0866.58055
Angenent, S. B.; Velázquez, J. J. L.
1997
An example of neckpinching for Ricci flow on $$S^{n+1}$$. Zbl 1064.58022
Angenent, Sigurd; Knopf, Dan
2004
The focusing problem for the radially symmetric porous medium equation. Zbl 0830.35062
Angenent, S. B.; Aronson, D. G.
1995
Local existence and regularity for a class of degenerate parabolic equations. Zbl 0619.35114
Angenent, Sigurd
1988
Precise asymptotics of the Ricci flow neckpinch. Zbl 1145.53049
Angenent, Sigurd B.; Knopf, Dan
2007
Monotone recurrence relations, their Birkhoff orbits and topological entropy. Zbl 0667.58036
Angenent, Sigurd B.
1990
The periodic orbits of an area preserving twist map. Zbl 0665.58034
Angenent, S. B.
1988
Asymptotic shape of cusp singularities in curve shortening. Zbl 0829.35058
Angenent, S. B.; Velázquez, J. J. L.
1995
Interior gradient blow-up in a semilinear parabolic equation. Zbl 0864.35052
Angenent, Sigurd B.; Fila, Marek
1996
Analyticity of the interface of the porous media equation after the waiting time. Zbl 0653.35040
Angenent, Sigurd
1988
The shadowing lemma for elliptic PDE. Zbl 0653.35030
Angenent, Sigurd
1987
A priori bounds and renormalized Morse indices of solutions of an elliptic system. Zbl 0964.35037
Angenent, Sigurd B.; van der Vorst, Robertus
2000
Solutions of the one-dimensional porous medium equation are determined by their free boundary. Zbl 0679.35040
Angenent, Sigurd
1990
Unique asymptotics of ancient convex mean curvature flow solutions. Zbl 1416.53061
Angenent, Sigurd; Daskalopoulos, Panagiota; Sesum, Natasa
2019
A variational interpretation of Melnikov’s function and exponentionally small separatrix splitting. Zbl 0810.34037
Angenent, Sigurd
1993
Formal matched asymptotics for degenerate Ricci flow neckpinches. Zbl 1225.53061
Angenent, Sigurd B.; Isenberg, James; Knopf, Dan
2011
The radius of vanishing bubbles in equivariant harmonic map flow from $$D^2$$ to $$S^2$$. Zbl 1223.35198
Angenent, S. B.; Hulshof, J.; Matano, H.
2009
Degenerate neckpinches in Ricci flow. Zbl 1329.53102
Angenent, Sigurd B.; Isenberg, James; Knopf, Dan
2015
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
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
Mathematical methods in medical image processing. Zbl 1096.92027
Angenent, Sigurd; Pichon, Eric; Tannenbaum, Allen
2006
Intermediate asymptotics for convergent viscous gravity currents. Zbl 0832.76020
Angenent, S. B.; Aronson, D. G.
1995
Anisotropic motion of a phase interface. Well-posedness of the initial value problem and qualitative properties of the interface. Zbl 0784.35124
Angenent, Sigurd B.; Gurtin, Morton E.
1994
The zoo of solitons for curve shortening in $$\mathbb R^n$$. Zbl 1280.35023
Altschuler, Dylan J.; Altschuler, Steven J.; Angenent, Sigurd B.; Wu, Lani F.
2013
A remark on the topological entropy and invariant circles of an area preserving twistmap. Zbl 0769.58036
Angenent, Sigurd B.
1992
Large time asymptotics for the porous media equation. Zbl 0669.35048
Angenent, Sigurd
1988
Formal asymptotic expansions for symmetric ancient ovals in mean curvature flow. Zbl 1267.53065
Angenent, Sigurd
2013
Curve shortening and the topology of closed geodesics on surfaces. Zbl 1137.53330
Angenent, Sigurd B.
2005
Inflection points, extatic points and curve shortening. Zbl 0960.53038
Angenent, S.
1999
Nodal properties of solutions of parabolic equations. Zbl 0727.35005
Angenent, Sigurd
1991
Non-axial self-similar hole filling for the porous medium equation. Zbl 0973.35115
Angenent, S. B.; Aronson, D. G.
2001
Singularities at $$t=\infty$$ in equivariant harmonic map flow. Zbl 1075.53057
Angenent, Sigurd; Hulshof, Joost
2005
On area preserving mappings of minimal distortion. Zbl 0976.68175
Angenent, S.; Haker, Steven; Tannenbaum, Allen; Kikinis, Ron
2000
Constructions with analytic semigroups and abstract exponential decay results for eigenfunctions. Zbl 0936.47023
Angenent, Sigurd
1999
Optimal asymptotics for solutions to the initial value problem for the porous medium equation. Zbl 0886.35112
Angenent, S. B.; Aronson, D. G.
1996
Uniqueness of two-convex closed ancient solutions to the mean curvature flow. Zbl 07264133
Angenent, Sigurd; Daskalopoulos, Panagiota; Sesum, Natasa
2020
Minimally invasive surgery for Ricci flow singularities. Zbl 1258.53066
Angenent, Sigurd B.; Caputo, M. Cristina; Knopf, Dan
2012
Contact and non-contact type Hamiltonian systems generated by second-order Lagrangians. Zbl 1225.37064
Angenent, S. B.; van den Berg, J. B.; Vandervorst, R. C. A. M.
2007
Dynamic active contours for visual tracking. Zbl 1366.94064
Niethammer, Marc; Tannenbaum, Allen; Angenent, Sigurd
2006
Self-similarity in the post-focussing regime in porous medium flows. Zbl 0861.35049
Angenent, S. B.; Aronson, D. G.
1996
General contact-angle conditions with and without kinetics. Zbl 0867.53061
Angenent, Sigurd; Gurtin, Morton E.
1996
Some recent results on mean curvature flow. Zbl 0796.35068
Angenent, Sigurd B.
1993
Self-intersecting geodesics and entropy of the geodesic flow. Zbl 1162.53030
Angenent, Sigurd
2008
The focusing problem for the eikonal equation. Zbl 1033.35023
Angenent, S. B.; Aronson, D. G.
2003
The dynamics of a degenerate reaction diffusion equation. Zbl 0821.35013
Angenent, Sigurd B.; Aronson, Donald G.
1994
Uniqueness of two-convex closed ancient solutions to the mean curvature flow. Zbl 07264133
Angenent, Sigurd; Daskalopoulos, Panagiota; Sesum, Natasa
2020
Unique asymptotics of ancient convex mean curvature flow solutions. Zbl 1416.53061
Angenent, Sigurd; Daskalopoulos, Panagiota; Sesum, Natasa
2019
Degenerate neckpinches in Ricci flow. Zbl 1329.53102
Angenent, Sigurd B.; Isenberg, James; Knopf, Dan
2015
The zoo of solitons for curve shortening in $$\mathbb R^n$$. Zbl 1280.35023
Altschuler, Dylan J.; Altschuler, Steven J.; Angenent, Sigurd B.; Wu, Lani F.
2013
Formal asymptotic expansions for symmetric ancient ovals in mean curvature flow. Zbl 1267.53065
Angenent, Sigurd
2013
Minimally invasive surgery for Ricci flow singularities. Zbl 1258.53066
Angenent, Sigurd B.; Caputo, M. Cristina; Knopf, Dan
2012
Formal matched asymptotics for degenerate Ricci flow neckpinches. Zbl 1225.53061
Angenent, Sigurd B.; Isenberg, James; Knopf, Dan
2011
The radius of vanishing bubbles in equivariant harmonic map flow from $$D^2$$ to $$S^2$$. Zbl 1223.35198
Angenent, S. B.; Hulshof, J.; Matano, H.
2009
Self-intersecting geodesics and entropy of the geodesic flow. Zbl 1162.53030
Angenent, Sigurd
2008
Precise asymptotics of the Ricci flow neckpinch. Zbl 1145.53049
Angenent, Sigurd B.; Knopf, Dan
2007
Contact and non-contact type Hamiltonian systems generated by second-order Lagrangians. Zbl 1225.37064
Angenent, S. B.; van den Berg, J. B.; Vandervorst, R. C. A. M.
2007
Mathematical methods in medical image processing. Zbl 1096.92027
Angenent, Sigurd; Pichon, Eric; Tannenbaum, Allen
2006
Dynamic active contours for visual tracking. Zbl 1366.94064
Niethammer, Marc; Tannenbaum, Allen; Angenent, Sigurd
2006
Curve shortening and the topology of closed geodesics on surfaces. Zbl 1137.53330
Angenent, Sigurd B.
2005
Singularities at $$t=\infty$$ in equivariant harmonic map flow. Zbl 1075.53057
Angenent, Sigurd; Hulshof, Joost
2005
An example of neckpinching for Ricci flow on $$S^{n+1}$$. Zbl 1064.58022
Angenent, Sigurd; Knopf, Dan
2004
Minimizing flows for the Monge-Kantorovich problem. Zbl 1042.49040
Angenent, Sigurd; Haker, Steven; Tannenbaum, Allen
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
A priori bounds and renormalized Morse indices of solutions of an elliptic system. Zbl 0964.35037
Angenent, Sigurd B.; van der Vorst, Robertus
2000
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
On area preserving mappings of minimal distortion. Zbl 0976.68175
Angenent, S.; Haker, Steven; Tannenbaum, Allen; Kikinis, Ron
2000
A superquadratic indefinite elliptic system and its Morse-Conley-Floer homology. Zbl 0939.58015
Angenent, Sigurd; van der Vorst, Robertus
1999
Inflection points, extatic points and curve shortening. Zbl 0960.53038
Angenent, S.
1999
Constructions with analytic semigroups and abstract exponential decay results for eigenfunctions. Zbl 0936.47023
Angenent, Sigurd
1999
On the affine heat equation for non-convex curves. Zbl 0902.35048
Angenent, Sigurd; Sapiro, Guillermo; Tannenbaum, Allen
1998
Degenerate neckpinches in mean curvature flow. Zbl 0866.58055
Angenent, S. B.; Velázquez, J. J. L.
1997
Interior gradient blow-up in a semilinear parabolic equation. Zbl 0864.35052
Angenent, Sigurd B.; Fila, Marek
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
General contact-angle conditions with and without kinetics. Zbl 0867.53061
Angenent, Sigurd; Gurtin, Morton E.
1996
Mean curvature flow through singularities for surfaces of rotation. Zbl 0847.58072
Altschuler, Steven; Angenent, Sigurd B.; Giga, Yoshikazu
1995
The focusing problem for the radially symmetric porous medium equation. Zbl 0830.35062
Angenent, S. B.; Aronson, D. G.
1995
Asymptotic shape of cusp singularities in curve shortening. Zbl 0829.35058
Angenent, S. B.; Velázquez, J. J. L.
1995
Intermediate asymptotics for convergent viscous gravity currents. Zbl 0832.76020
Angenent, S. B.; Aronson, D. G.
1995
Anisotropic motion of a phase interface. Well-posedness of the initial value problem and qualitative properties of the interface. Zbl 0784.35124
Angenent, Sigurd B.; Gurtin, Morton E.
1994
The dynamics of a degenerate reaction diffusion equation. Zbl 0821.35013
Angenent, Sigurd B.; Aronson, Donald G.
1994
A variational interpretation of Melnikov’s function and exponentionally small separatrix splitting. Zbl 0810.34037
Angenent, Sigurd
1993
Some recent results on mean curvature flow. Zbl 0796.35068
Angenent, Sigurd B.
1993
Shrinking doughnuts. Zbl 0762.53028
Angenent, Sigurd B.
1992
A remark on the topological entropy and invariant circles of an area preserving twistmap. Zbl 0769.58036
Angenent, Sigurd B.
1992
On the formation of singularities in the curve shortening flow. Zbl 0731.53002
Angenent, Sigurd
1991
Parabolic equations for curves on surfaces. II: Intersections, blow-up and generalized solutions. Zbl 0749.58054
Angenent, Sigurd
1991
Nodal properties of solutions of parabolic equations. Zbl 0727.35005
Angenent, Sigurd
1991
Nonlinear analytic semiflows. Zbl 0723.34047
Angenent, Sigurd B.
1990
Parabolic equations for curves on surfaces. I: Curves with $$p$$-integrable curvature. Zbl 0789.58070
Angenent, Sigurd
1990
Monotone recurrence relations, their Birkhoff orbits and topological entropy. Zbl 0667.58036
Angenent, Sigurd B.
1990
Solutions of the one-dimensional porous medium equation are determined by their free boundary. Zbl 0679.35040
Angenent, Sigurd
1990
Multiphase thermomechanics with interfacial structure. II: Evolution of an isothermal interface. Zbl 0723.73017
Angenent, Sigurd; Gurtin, Morton E.
1989
The zero set of a solution of a parabolic equation. Zbl 0644.35050
Angenent, Sigurd
1988
The dynamics of rotating waves in scalar reaction diffusion equations. Zbl 0696.35086
Angenent, S. B.; Fiedler, B.
1988
Local existence and regularity for a class of degenerate parabolic equations. Zbl 0619.35114
Angenent, Sigurd
1988
The periodic orbits of an area preserving twist map. Zbl 0665.58034
Angenent, S. B.
1988
Analyticity of the interface of the porous media equation after the waiting time. Zbl 0653.35040
Angenent, Sigurd
1988
Large time asymptotics for the porous media equation. Zbl 0669.35048
Angenent, Sigurd
1988
One-parameter semigroups. Zbl 0636.47051
Clément, Ph.; Heijmans, H. J. A. M.; Angenent, S.; van Duijn, C. J.; de Pagter, B.
1987
Stable transition layers in a semilinear boundary value problem. Zbl 0634.35041
Angenent, S. B.; Mallet-Paret, John; Peletier, L. A.
1987
The shadowing lemma for elliptic PDE. Zbl 0653.35030
Angenent, Sigurd
1987
The Morse-Smale property for a semilinear parabolic equation. Zbl 0581.58026
Angenent, S. B.
1986
Uniqueness of the solution of a semilinear boundary value problem. Zbl 0576.35044
Angenent, S. B.
1985
all top 5

#### Cited by 1,212 Authors

 21 Fiedler, Bernold 20 Angenent, Sigurd Bernardus 20 Giga, Yoshikazu 20 Poláčik, Peter 18 Rocha, Carlos 14 Galaktionov, Victor Aleksandrovich 14 Lou, Bendong 14 Matano, Hiroshi 13 Tsai, Dong-Ho 12 Simonett, Gieri 12 Vazquez, Juan Luis 12 Wang, Xiaoliu 11 Shen, Wenxian 10 Colding, Tobias Holck 9 Du, Yihong 9 Escher, Joachim 9 Minicozzi, William Philip II 9 Souplet, Philippe 9 van den Berg, Jan Bouwe 9 Vandervorst, Robertus C. A. M. 9 Wei, Juncheng 8 Aronson, Donald G. 8 Del Pino, Manuel A. 8 Gurtin, Morton Edward 8 Ishiwata, Tetsuya 8 Knopf, Dan 8 Matioc, Bogdan-Vasile 8 Tannenbaum, Allen Robert 8 Yazaki, Shigetoshi 7 Daskalopoulos, Panagiota 7 Fusco, Giorgio 7 Guo, Jong-Shenq 7 Mizoguchi, Noriko 7 Morini, Massimiliano 7 Rybka, Piotr 6 Clément, Philippe J. E. 6 Hale, Jack Kenneth 6 Knüpfer, Hans 6 Nguyen, Xuan Hien 6 Novaga, Matteo 6 Sesum, Natasa 6 Velázquez, Juan J. L. 6 Webb, Glenn Francis 6 Yanagida, Eiji 6 Zhou, Maolin 5 Calsina, Àngel 5 Chambolle, Antonin 5 Chen, Yongxin 5 de la Llave, Rafael 5 Drugan, Gregory 5 García-Melián, Jorge 5 Giga, Mi-Ho 5 Gnann, Manuel V. 5 Guo, Zongming 5 Hulshof, Josephus 5 Isenberg, James A. 5 Maalaoui, Ali 5 Merle, Frank 5 Pan, Shengliang 5 Prüß, Jan Wilhelm 5 Qin, Wenxin 5 Sinestrari, Carlo 5 Ushijima, Takeo K. 5 Valdinoci, Enrico 5 Wo, Weifeng 5 Zhou, Dun 4 Albanese, Angela Anna 4 Amann, Herbert 4 Boulanouar, Mohamed 4 Chaves, Manuela 4 Chen, Xinfu 4 Chill, Ralph 4 Ducrot, Arnaud 4 Gang, Zhou 4 Garcke, Harald 4 Georgiou, Tryphon T. 4 Giacomelli, Lorenzo 4 Giletti, Thomas 4 Hamel, François 4 Herrero, Miguel Ángel 4 Ivaki, Mohammad N. 4 Jin, Chunhua 4 Kaneko, Yuki 4 Lavrent’ev, Mikhail Mikhaĭlovich jun. 4 LeCrone, Jeremy S. 4 Lin, Yu-Chu 4 MacKay, Robert Sinclair 4 Mangino, Elisabetta M. 4 Matsuzawa, Hiroshi 4 Miquel, Vicente 4 Monneau, Régis 4 Muniz Oliva, Waldyr 4 Ninomiya, Hirokazu 4 Otto, Felix 4 Qu, Changzheng 4 Sabina-de-Lis, José Claudio 4 Shao, Yuanzhen 4 Soner, Halil Mete 4 Wang, Yi 4 Wang, Zenggui ...and 1,112 more Authors
all top 5

#### Cited in 227 Serials

 116 Journal of Differential Equations 42 Journal of Mathematical Analysis and Applications 35 Transactions of the American Mathematical Society 35 Calculus of Variations and Partial Differential Equations 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Journal of Dynamics and Differential Equations 29 Archive for Rational Mechanics and Analysis 28 The Journal of Geometric Analysis 24 Communications in Partial Differential Equations 21 Proceedings of the American Mathematical Society 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Mathematische Annalen 18 Journal of Evolution Equations 17 Journal of Functional Analysis 16 Advances in Mathematics 16 Physica D 15 Duke Mathematical Journal 14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 Discrete and Continuous Dynamical Systems 13 Nonlinear Analysis. Theory, Methods & Applications 12 Mathematische Zeitschrift 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Japan Journal of Industrial and Applied Mathematics 10 SIAM Journal on Mathematical Analysis 10 NoDEA. Nonlinear Differential Equations and Applications 9 Communications on Pure and Applied Mathematics 9 Journal of Computational Physics 9 Inventiones Mathematicae 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Journal für die Reine und Angewandte Mathematik 7 Communications in Mathematical Physics 7 Ergodic Theory and Dynamical Systems 7 Journal of the American Mathematical Society 7 European Journal of Applied Mathematics 7 Journal of Mathematical Sciences (New York) 6 Applicable Analysis 6 Journal of the Mechanics and Physics of Solids 6 Nonlinearity 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Journal of Computational and Applied Mathematics 6 Siberian Mathematical Journal 6 Acta Applicandae Mathematicae 6 Annals of Mathematics. Second Series 6 Nonlinear Analysis. Real World Applications 6 Discrete and Continuous Dynamical Systems. Series B 5 Bulletin of the Australian Mathematical Society 5 Journal d’Analyse Mathématique 5 Journal of Mathematical Biology 5 Mathematical Methods in the Applied Sciences 5 Archiv der Mathematik 5 Mathematische Nachrichten 5 Applied Mathematics Letters 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 SIAM Journal on Scientific Computing 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Communications in Contemporary Mathematics 5 Advanced Nonlinear Studies 4 Journal of Statistical Physics 4 Ukrainian Mathematical Journal 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Geometriae Dedicata 4 Semigroup Forum 4 Journal of Nonlinear Science 4 Geometry & Topology 4 Journal of the European Mathematical Society (JEMS) 4 Differential Equations 3 Rocky Mountain Journal of Mathematics 3 Memoirs of the American Mathematical Society 3 Numerische Mathematik 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Rendiconti del Seminario Matematico della Università di Padova 3 Tohoku Mathematical Journal. Second Series 3 Journal of Scientific Computing 3 Bulletin of the American Mathematical Society. New Series 3 Physics of Fluids 3 Positivity 3 Interfaces and Free Boundaries 3 Acta Mathematica Sinica. English Series 3 Multiscale Modeling & Simulation 3 Mediterranean Journal of Mathematics 3 Journal of Biological Dynamics 3 Journal of Fixed Point Theory and Applications 3 Discrete and Continuous Dynamical Systems. Series S 3 Analysis & PDE 3 Science China. Mathematics 2 Computers & Mathematics with Applications 2 Chaos, Solitons and Fractals 2 Annales de l’Institut Fourier 2 Czechoslovak Mathematical Journal 2 Functional Analysis and its Applications 2 Publications Mathématiques 2 Journal of Optimization Theory and Applications 2 Kybernetika 2 Mathematica Slovaca 2 Proceedings of the Japan Academy. Series A 2 Quarterly of Applied Mathematics 2 Results in Mathematics 2 Systems & Control Letters 2 Chinese Annals of Mathematics. Series B 2 Annals of Global Analysis and Geometry ...and 127 more Serials
all top 5

#### Cited in 49 Fields

 729 Partial differential equations (35-XX) 292 Differential geometry (53-XX) 134 Dynamical systems and ergodic theory (37-XX) 93 Global analysis, analysis on manifolds (58-XX) 83 Ordinary differential equations (34-XX) 80 Fluid mechanics (76-XX) 75 Operator theory (47-XX) 58 Numerical analysis (65-XX) 52 Biology and other natural sciences (92-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 47 Mechanics of deformable solids (74-XX) 35 Statistical mechanics, structure of matter (82-XX) 27 Classical thermodynamics, heat transfer (80-XX) 24 Manifolds and cell complexes (57-XX) 21 Probability theory and stochastic processes (60-XX) 19 Computer science (68-XX) 17 Convex and discrete geometry (52-XX) 14 Functional analysis (46-XX) 13 Systems theory; control (93-XX) 12 Mechanics of particles and systems (70-XX) 11 Information and communication theory, circuits (94-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 8 Combinatorics (05-XX) 8 Integral equations (45-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Difference and functional equations (39-XX) 5 Measure and integration (28-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Quantum theory (81-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 General topology (54-XX) 4 Optics, electromagnetic theory (78-XX) 3 Potential theory (31-XX) 3 Geometry (51-XX) 3 Statistics (62-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Algebraic topology (55-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Abstract harmonic analysis (43-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)

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