Edit Profile (opens in new tab) Ecker, Klaus Co-Author Distance Author ID: ecker.klaus Published as: Ecker, Klaus Homepage: http://geometricanalysis.mi.fu-berlin.de/people_ecker.htm External Links: MGP · Wikidata Documents Indexed: 28 Publications since 1982, including 1 Book and 1 Additional arXiv Preprint 6 Contributions as Editor Co-Authors: 9 Co-Authors with 13 Joint Publications 269 Co-Co-Authors all top 5 Co-Authors 21 single-authored 7 Huisken, Gerhard 4 Shatah, Jalal 4 Struwe, Michael 2 Staffilani, Gigliola 1 Ilmanen, Thomas 1 Knopf, Dan 1 Ni, Lei 1 Topping, Peter Miles 1 Wilking, Burkhard all top 5 Serials 6 Oberwolfach Reports 3 Mathematische Annalen 3 Calculus of Variations and Partial Differential Equations 2 Journal of Differential Geometry 2 Journal für die Reine und Angewandte Mathematik 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Analysis and Geometry 2 Annals of Mathematics. Second Series 1 Communications in Mathematical Physics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Journal of the Australian Mathematical Society. Series A 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 31 Differential geometry (53-XX) 14 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 General and overarching topics; collections (00-XX) 4 Operator theory (47-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Mechanics of deformable solids (74-XX) 2 Relativity and gravitational theory (83-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 848 times in 583 Documents Cited by ▼ Year ▼ Mean curvature evolution of entire graphs. Zbl 0696.53036 Ecker, Klaus; Huisken, Gerhard 172 1989 Interior estimates for hypersurfaces moving by mean curvature. Zbl 0707.53008 Ecker, Klaus; Huisken, Gerhard 154 1991 Regularity theory for mean curvature flow. Zbl 1058.53054 Ecker, Klaus 153 2004 Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes. Zbl 0721.53055 Ecker, Klaus; Huisken, Gerhard 59 1991 Interior estimates and longtime solutions for mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space. Zbl 0909.53045 Ecker, Klaus 48 1997 A Bernstein result for minimal graphs of controlled growth. Zbl 0696.53002 Ecker, Klaus; Huisken, Gerhard 33 1990 On mean curvature flow of spacelike hypersurfaces in asymptotically flat spacetimes. Zbl 0789.58020 Ecker, Klaus 30 1993 Mean curvature flow of spacelike hypersurfaces near null initial data. Zbl 1129.53303 Ecker, Klaus 25 2003 Area maximizing hypersurfaces in Minkowski space having an isolated singularity. Zbl 0594.58023 Ecker, Klaus 25 1986 Immersed hypersurfaces with constant Weingarten curvature. Zbl 0643.53043 Ecker, Klaus; Huisken, Gerhard 22 1989 Logarithmic Sobolev inequalities on submanifolds of Euclidean space. Zbl 0952.46021 Ecker, Klaus 17 2000 A local monotonicity formula for mean curvature flow. Zbl 1007.53050 Ecker, Klaus 16 2001 Local monotonicity and mean value formulas for evolving Riemannian manifolds. Zbl 1170.35050 Ecker, Klaus; Knopf, Dan; Ni, Lei; Topping, Peter 13 2008 Area-minimizing integral currents with movable boundary parts of prescribed mass. Zbl 0677.49032 Ecker, Klaus 12 1989 Estimates for evolutionary surfaces of prescribed mean curvature. Zbl 0469.35053 Ecker, Klaus 12 1982 A formula relating entropy monotonicity to Harnack inequalities. Zbl 1167.53055 Ecker, Klaus 12 2007 Interior curvature estimates for hypersurfaces of prescribed mean curvature. Zbl 0683.53007 Ecker, Klaus; Huisken, Gerhard 9 1989 On regularity for mean curvature flow of hypersurfaces. Zbl 0814.53004 Ecker, Klaus 9 1995 Local monotonicity formulas for some nonlinear diffusion equations. Zbl 1119.35026 Ecker, Klaus 5 2005 Heat equations in geometry and topology. Zbl 1151.53061 Ecker, Klaus 5 2008 Local techniques for mean curvature flow. Zbl 0741.53003 Ecker, Klaus 4 1991 Partial regularity at the first singular time for hypersurfaces evolving by mean curvature. Zbl 1270.53084 Ecker, Klaus 4 2013 On mean curvature flow of surfaces in Riemannian 3-manifolds. Zbl 0880.53033 Ecker, Klaus 1 1994 Mean curvature evolution of spacelike hypersurfaces. Zbl 1193.35084 Ecker, Klaus 1 1999 Partial regularity at the first singular time for hypersurfaces evolving by mean curvature. Zbl 1270.53084 Ecker, Klaus 4 2013 Local monotonicity and mean value formulas for evolving Riemannian manifolds. Zbl 1170.35050 Ecker, Klaus; Knopf, Dan; Ni, Lei; Topping, Peter 13 2008 Heat equations in geometry and topology. Zbl 1151.53061 Ecker, Klaus 5 2008 A formula relating entropy monotonicity to Harnack inequalities. Zbl 1167.53055 Ecker, Klaus 12 2007 Local monotonicity formulas for some nonlinear diffusion equations. Zbl 1119.35026 Ecker, Klaus 5 2005 Regularity theory for mean curvature flow. Zbl 1058.53054 Ecker, Klaus 153 2004 Mean curvature flow of spacelike hypersurfaces near null initial data. Zbl 1129.53303 Ecker, Klaus 25 2003 A local monotonicity formula for mean curvature flow. Zbl 1007.53050 Ecker, Klaus 16 2001 Logarithmic Sobolev inequalities on submanifolds of Euclidean space. Zbl 0952.46021 Ecker, Klaus 17 2000 Mean curvature evolution of spacelike hypersurfaces. Zbl 1193.35084 Ecker, Klaus 1 1999 Interior estimates and longtime solutions for mean curvature flow of noncompact spacelike hypersurfaces in Minkowski space. Zbl 0909.53045 Ecker, Klaus 48 1997 On regularity for mean curvature flow of hypersurfaces. Zbl 0814.53004 Ecker, Klaus 9 1995 On mean curvature flow of surfaces in Riemannian 3-manifolds. Zbl 0880.53033 Ecker, Klaus 1 1994 On mean curvature flow of spacelike hypersurfaces in asymptotically flat spacetimes. Zbl 0789.58020 Ecker, Klaus 30 1993 Interior estimates for hypersurfaces moving by mean curvature. Zbl 0707.53008 Ecker, Klaus; Huisken, Gerhard 154 1991 Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes. Zbl 0721.53055 Ecker, Klaus; Huisken, Gerhard 59 1991 Local techniques for mean curvature flow. Zbl 0741.53003 Ecker, Klaus 4 1991 A Bernstein result for minimal graphs of controlled growth. Zbl 0696.53002 Ecker, Klaus; Huisken, Gerhard 33 1990 Mean curvature evolution of entire graphs. Zbl 0696.53036 Ecker, Klaus; Huisken, Gerhard 172 1989 Immersed hypersurfaces with constant Weingarten curvature. Zbl 0643.53043 Ecker, Klaus; Huisken, Gerhard 22 1989 Area-minimizing integral currents with movable boundary parts of prescribed mass. Zbl 0677.49032 Ecker, Klaus 12 1989 Interior curvature estimates for hypersurfaces of prescribed mean curvature. Zbl 0683.53007 Ecker, Klaus; Huisken, Gerhard 9 1989 Area maximizing hypersurfaces in Minkowski space having an isolated singularity. Zbl 0594.58023 Ecker, Klaus 25 1986 Estimates for evolutionary surfaces of prescribed mean curvature. Zbl 0469.35053 Ecker, Klaus 12 1982 all cited Publications top 5 cited Publications all top 5 Cited by 586 Authors 16 Xin, Yuanlong 11 de Lima, Henrique F. 11 Lambert, Ben 11 Novaga, Matteo 11 Schulze, Felix 10 Brendle, Simon 10 Li, Guanghan 10 Smoczyk, Knut 9 Ecker, Klaus 8 Huisken, Gerhard 8 Wang, Lu 8 Yang, Ling 7 Colding, Tobias Holck 7 Ding, Qi 7 Minicozzi, William Philip II 7 Mizuno, Masashi 6 Batista, Márcio 6 Bellettini, Giovanni 6 Bernstein, Jacob 6 Bourni, Theodora 6 Kovacs, Balazs A. 6 Langford, Mat 6 Mao, Jing 6 Savas-Halilaj, Andreas 6 Wheeler, Glen E. 6 Wheeler, Valentina-Mira 5 Afuni, Ahmad 5 Chen, Jingyi 5 Choi, Kyeongsu 5 Daskalopoulos, Panagiota 5 Garcke, Harald 5 Gomes, Wallace F. 5 Han, Xiaoli 5 Li, Jiayu 5 Lynch, Stephen 5 Ma, Li 5 Rosales, Leobardo 5 Scheuer, Julian 5 Schnürer, Oliver Christian 5 Sinestrari, Carlo 5 Sun, Jun 5 Tonegawa, Yoshihiro 4 Andrews, Ben 4 Bonheure, Denis 4 Cabezas-Rivas, Esther 4 Cesaroni, Annalisa 4 Chambolle, Antonin 4 Chau, Albert 4 Cheng, Qingming 4 Cheng, Xu 4 de Lira, Jorge Herbert Soares 4 Drugan, Gregory 4 Du, Wenkui 4 Epshteyn, Yekaterina 4 Fernández, Isabel 4 Gang, Zhou 4 Guo, Siao-Hao 4 Haslhofer, Robert 4 Kiessling, Michael Karl-Heinz 4 Kunikawa, Keita 4 Li, Buyang 4 Liu, Chun 4 Lopez Fernandez, Francisco Jose 4 Lotay, Jason Dean 4 Lubbe, Felix 4 Ma, Kuicheng 4 Mäder-Baumdicker, Elena 4 Mantegazza, Carlo 4 McCoy, James Alexander 4 Miquel, Vicente 4 Qiu, Hongbing 4 Šešum, Nataša 4 Wei, Guoxin 4 Yuan, Yu 4 Zhou, Detang 3 Borisenko, Aleksandr Andreevich 3 Chen, Letian 3 Cheng, Liang 3 Chodosh, Otis 3 Clutterbuck, Julie 3 Dierkes, Ulrich 3 Dong, Yuxin 3 Jost, Jürgen 3 Kleene, Stephen James 3 Klingenberg, Wilhelm jun. 3 Kröner, Heiko 3 Li, Haozhao 3 Li, Xiang-Dong 3 López Camino, Rafael 3 Lubich, Christian 3 Ma, John Man Shun 3 Mari, Luciano 3 Marxen, Tobias 3 Molica Bisci, Giovanni 3 Mooney, Connor 3 Morini, Massimiliano 3 Ni, Lei 3 Pomponio, Alessio 3 Ponsiglione, Marcello 3 Pyo, Juncheol ...and 486 more Authors all top 5 Cited in 144 Serials 50 Calculus of Variations and Partial Differential Equations 41 The Journal of Geometric Analysis 23 Transactions of the American Mathematical Society 20 Journal für die Reine und Angewandte Mathematik 20 Mathematische Annalen 18 Proceedings of the American Mathematical Society 14 Advances in Mathematics 14 Manuscripta Mathematica 13 Inventiones Mathematicae 13 Journal of Differential Equations 12 Mathematische Zeitschrift 11 Journal of Mathematical Analysis and Applications 11 Journal of Functional Analysis 10 Geometriae Dedicata 9 Journal of Geometry and Physics 8 Duke Mathematical Journal 8 Annals of Global Analysis and Geometry 8 Communications in Partial Differential Equations 8 Science China. Mathematics 7 Communications in Mathematical Physics 7 Communications on Pure and Applied Mathematics 7 Chinese Annals of Mathematics. Series B 7 Communications in Contemporary Mathematics 7 Journal of Evolution Equations 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Geometric Flows 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Results in Mathematics 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Frontiers of Mathematics in China 4 Archive for Rational Mechanics and Analysis 4 Annales de l’Institut Fourier 4 Geometric and Functional Analysis. GAFA 4 Discrete and Continuous Dynamical Systems 4 Annals of Mathematics. Second Series 4 Interfaces and Free Boundaries 4 Acta Mathematica Sinica. English Series 4 Communications on Pure and Applied Analysis 3 Bulletin of the Australian Mathematical Society 3 Journal of Mathematical Physics 3 Publications Mathématiques 3 Journal of Differential Geometry 3 Mathematische Nachrichten 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 International Journal of Mathematics 3 SIAM Journal on Mathematical Analysis 3 NoDEA. Nonlinear Differential Equations and Applications 3 Vietnam Journal of Mathematics 3 Abstract and Applied Analysis 3 Geometry & Topology 3 Milan Journal of Mathematics 3 Mediterranean Journal of Mathematics 2 General Relativity and Gravitation 2 Journal d’Analyse Mathématique 2 Archiv der Mathematik 2 Collectanea Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Kodai Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Probability Theory and Related Fields 2 Journal of the American Mathematical Society 2 European Journal of Applied Mathematics 2 Differential Geometry and its Applications 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Stochastic Processes and their Applications 2 Bulletin of the American Mathematical Society. New Series 2 SIAM Journal on Scientific Computing 2 Mathematical Physics, Analysis and Geometry 2 Journal of the European Mathematical Society (JEMS) 2 Annales Henri Poincaré 2 DGDS. Differential Geometry – Dynamical Systems 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Advanced Nonlinear Studies 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Discrete and Continuous Dynamical Systems. Series S 2 Advances in Calculus of Variations 2 Analysis & PDE 2 Annals of PDE 2 Mathematics in Engineering 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Methods in the Applied Sciences 1 Nuclear Physics. B 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 American Journal of Mathematics 1 Anais da Academia Brasileira de Ciências 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Journal of Geometry ...and 44 more Serials all top 5 Cited in 35 Fields 505 Differential geometry (53-XX) 242 Partial differential equations (35-XX) 92 Global analysis, analysis on manifolds (58-XX) 57 Calculus of variations and optimal control; optimization (49-XX) 17 Relativity and gravitational theory (83-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Numerical analysis (65-XX) 8 Manifolds and cell complexes (57-XX) 8 Mechanics of deformable solids (74-XX) 6 Measure and integration (28-XX) 6 Probability theory and stochastic processes (60-XX) 5 Algebraic geometry (14-XX) 5 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Convex and discrete geometry (52-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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