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Author ID: ilmanen.thomas Recent zbMATH articles by "Ilmanen, Thomas"
Published as: Ilmanen, Tom; Ilmanen, Thomas; Ilmanen, T.
Homepage: https://ethz.ch/staffnet/de/organisation/who-is-who/math/details.OTA5NTM=.TGlzdC...
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

20 Publications have been cited 1,188 times in 932 Documents Cited by Year
The inverse mean curvature flow and the Riemannian Penrose inequality. Zbl 1055.53052
Huisken, Gerhard; Ilmanen, Tom
329
2001
Elliptic regularization and partial regularity for motion by mean curvature. Zbl 0798.35066
Ilmanen, Tom
177
1994
Convergence of the Allen-Cahn equation to Brakke’s motion by mean curvature. Zbl 0784.53035
Ilmanen, Tom
155
1993
Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons. Zbl 1069.53036
Feldman, Mikhail; Ilmanen, Tom; Knopf, Dan
98
2003
Generalized flow of sets by mean curvature on a manifold. Zbl 0759.53035
Ilmanen, Tom
61
1992
Graphical translators for mean curvature flow. Zbl 1416.53062
Hoffman, D.; Ilmanen, T.; Martín, F.; White, B.
51
2019
Higher regularity of the inverse mean curvature flow. Zbl 1161.53058
Huisken, Gerhard; Ilmanen, Tom
47
2008
Entropy and reduced distance for Ricci expanders. Zbl 1071.53040
Feldman, Michael; Ilmanen, Tom; Ni, Lei
38
2005
The Riemannian Penrose inequality. Zbl 0905.53043
Huisken, G.; Ilmanen, T.
37
1997
The round sphere minimizes entropy among closed self-shrinkers. Zbl 1278.53069
Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P. II.; White, Brian
36
2013
Rigidity of generic singularities of mean curvature flow. Zbl 1331.53098
Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P.
31
2015
On short time existence for the planar network flow. Zbl 1451.53121
Ilmanen, Tom; Neves, André; Schulze, Felix
27
2019
The level-set flow on a manifold. Zbl 0827.53014
Ilmanen, Tom
26
1993
A strong maximum principle for singular minimal hypersurfaces. Zbl 0863.49030
Ilmanen, T.
26
1996
Notes on translating solitons for mean curvature flow. Zbl 1484.53009
Hoffman, David; Ilmanen, Tom; Martín, Francisco; White, Brian
14
2021
A lower bound for the diameter of solutions to the Ricci flow with nonzero \(H^1(M^n, \mathbb R)\). Zbl 1048.58022
Ilmanen, Tom; Knopf, Dan
12
2003
Sharp lower bounds on density for area-minimizing cones. Zbl 1341.53012
Ilmanen, Tom; White, Brian
11
2015
Equilibrium solutions to generalized motion by mean curvature. Zbl 0941.35028
Ilmanen, Tom; Sternberg, Peter; Ziemer, William P.
5
1998
Correction to: “Graphical translators for mean curvature flow”. Zbl 1440.53108
Hoffman, D.; Ilmanen, T.; Martín, F.; White, B.
5
2019
Energy inequalities for isolated systems and hypersurfaces moving by their curvature. Zbl 1032.83018
Huisken, Gerhard; Ilmanen, Tom
2
2002
Notes on translating solitons for mean curvature flow. Zbl 1484.53009
Hoffman, David; Ilmanen, Tom; Martín, Francisco; White, Brian
14
2021
Graphical translators for mean curvature flow. Zbl 1416.53062
Hoffman, D.; Ilmanen, T.; Martín, F.; White, B.
51
2019
On short time existence for the planar network flow. Zbl 1451.53121
Ilmanen, Tom; Neves, André; Schulze, Felix
27
2019
Correction to: “Graphical translators for mean curvature flow”. Zbl 1440.53108
Hoffman, D.; Ilmanen, T.; Martín, F.; White, B.
5
2019
Rigidity of generic singularities of mean curvature flow. Zbl 1331.53098
Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P.
31
2015
Sharp lower bounds on density for area-minimizing cones. Zbl 1341.53012
Ilmanen, Tom; White, Brian
11
2015
The round sphere minimizes entropy among closed self-shrinkers. Zbl 1278.53069
Colding, Tobias Holck; Ilmanen, Tom; Minicozzi, William P. II.; White, Brian
36
2013
Higher regularity of the inverse mean curvature flow. Zbl 1161.53058
Huisken, Gerhard; Ilmanen, Tom
47
2008
Entropy and reduced distance for Ricci expanders. Zbl 1071.53040
Feldman, Michael; Ilmanen, Tom; Ni, Lei
38
2005
Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons. Zbl 1069.53036
Feldman, Mikhail; Ilmanen, Tom; Knopf, Dan
98
2003
A lower bound for the diameter of solutions to the Ricci flow with nonzero \(H^1(M^n, \mathbb R)\). Zbl 1048.58022
Ilmanen, Tom; Knopf, Dan
12
2003
Energy inequalities for isolated systems and hypersurfaces moving by their curvature. Zbl 1032.83018
Huisken, Gerhard; Ilmanen, Tom
2
2002
The inverse mean curvature flow and the Riemannian Penrose inequality. Zbl 1055.53052
Huisken, Gerhard; Ilmanen, Tom
329
2001
Equilibrium solutions to generalized motion by mean curvature. Zbl 0941.35028
Ilmanen, Tom; Sternberg, Peter; Ziemer, William P.
5
1998
The Riemannian Penrose inequality. Zbl 0905.53043
Huisken, G.; Ilmanen, T.
37
1997
A strong maximum principle for singular minimal hypersurfaces. Zbl 0863.49030
Ilmanen, T.
26
1996
Elliptic regularization and partial regularity for motion by mean curvature. Zbl 0798.35066
Ilmanen, Tom
177
1994
Convergence of the Allen-Cahn equation to Brakke’s motion by mean curvature. Zbl 0784.53035
Ilmanen, Tom
155
1993
The level-set flow on a manifold. Zbl 0827.53014
Ilmanen, Tom
26
1993
Generalized flow of sets by mean curvature on a manifold. Zbl 0759.53035
Ilmanen, Tom
61
1992
all top 5

Cited by 933 Authors

14 Pyo, Juncheol
14 Tonegawa, Yoshihiro
14 White, Brian Cabell
13 Haslhofer, Robert
13 Mazzieri, Lorenzo
13 Miao, Pengzi
12 Chodosh, Otis
12 Khuri, Marcus A.
11 Colding, Tobias Holck
11 López Camino, Rafael
11 Stefanelli, Ulisse
10 Minicozzi, William Philip II
10 Novaga, Matteo
9 Eichmair, Michael
9 Fogagnolo, Mattia
9 Scheuer, Julian
9 Schulze, Felix
9 Shi, Yuguang
9 Streets, Jeffrey D.
8 Bellettini, Giovanni
8 Bernstein, Jacob
8 Bray, Hubert L.
8 Hershkovits, Or
8 Jauregui, Jeffrey L.
8 Kim, Daehwan
8 Laux, Tim
8 Soner, Halil Mete
7 Agostiniani, Virginia
7 Arroja Neves, André
7 Brendle, Simon
7 Bueno, Antonio
7 Cao, Huai-Dong
7 Deruelle, Alix
7 Kröner, Heiko
7 Mantegazza, Carlo
7 Tian, Gang
7 Wang, Lu
7 Xia, Chao
6 Chen, Xinfu
6 de Lira, Jorge Herbert Soares
6 Giga, Yoshikazu
6 Ilmanen, Thomas
6 Lee, Dan Archibald
6 Li, Yukun
6 Lopes de Lima, Levi
6 Lu, Peng
6 Wang, Guofang
5 Alaee, Aghil
5 Chow, Bennett
5 Gang, Zhou
5 Ge, Yuxin
5 Girão, Frederico
5 Martínez-Triviño, Antonio Luis
5 Mccormick, Stephen Michael
5 Melchionna, Stefano
5 Mramor, Alexander
5 Pisante, Adriano
5 Röger, Matthias
5 Smoczyk, Knut
5 Souganidis, Panagiotis E.
5 Takasao, Keisuke
5 Wang, Zenggui
5 Wickramasekera, Neshan
5 Wu, Jie
5 Xie, Naqing
5 Yip, Nung Kwan
4 Akagi, Goro
4 Allen, Brian Daniel
4 Cabrera Pacheco, Armando J.
4 Carlotto, Alessandro
4 Cederbaum, Carla
4 Cesaroni, Annalisa
4 Del Pino, Manuel A.
4 Ding, Qi
4 Guang, Qiang
4 Hoffman, David A.
4 Knopf, Dan
4 Körber, Thomas
4 Li, Jiayu
4 Liu, Zuhan
4 Loi, Andrea
4 Lott, John
4 Martín, Francisco
4 Moser, Maximilian
4 Munteanu, Ovidiu
4 Orlandi, Giandomenico
4 Ortega, Miguel
4 Pluda, Alessandra
4 Segura de León, Sergio
4 Sormani, Christina
4 Sun, Ao
4 Tam, Luen-Fai
4 Tosatti, Valentino
4 Tu, Qiang
4 Wang, Linfeng
4 Wang, Mu-Tao
4 Wei, Yong
4 Weinkove, Ben
4 Wu, Di
4 Wu, Guoqiang
...and 833 more Authors
all top 5

Cited in 192 Serials

65 Calculus of Variations and Partial Differential Equations
56 The Journal of Geometric Analysis
38 Proceedings of the American Mathematical Society
34 Communications in Mathematical Physics
29 Advances in Mathematics
25 Journal of Mathematical Analysis and Applications
22 Mathematische Annalen
22 Transactions of the American Mathematical Society
20 Classical and Quantum Gravity
20 Journal für die Reine und Angewandte Mathematik
18 Archive for Rational Mechanics and Analysis
18 Journal of Geometry and Physics
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Journal of Functional Analysis
16 Annals of Global Analysis and Geometry
15 Journal of Differential Equations
14 Annales Henri Poincaré
13 Communications on Pure and Applied Mathematics
13 Communications in Partial Differential Equations
12 Inventiones Mathematicae
11 General Relativity and Gravitation
11 Duke Mathematical Journal
10 Journal of Differential Geometry
10 Geometric and Functional Analysis. GAFA
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Journal of Mathematical Physics
8 Pacific Journal of Mathematics
8 Differential Geometry and its Applications
8 SIAM Journal on Mathematical Analysis
8 Geometry & Topology
7 Journal of the London Mathematical Society. Second Series
7 Mathematische Zeitschrift
7 Chinese Annals of Mathematics. Series B
7 Communications in Contemporary Mathematics
6 Computers & Mathematics with Applications
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Geometriae Dedicata
6 Results in Mathematics
6 International Journal of Mathematics
6 Annals of Mathematics. Second Series
6 Mediterranean Journal of Mathematics
6 Science China. Mathematics
5 Indiana University Mathematics Journal
5 NoDEA. Nonlinear Differential Equations and Applications
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Oberwolfach Reports
4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
4 Journal of Geometry
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Discrete and Continuous Dynamical Systems
4 Interfaces and Free Boundaries
4 Living Reviews in Relativity
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Nonlinearity
3 Annales de l’Institut Fourier
3 Publications Mathématiques
3 Manuscripta Mathematica
3 Numerische Mathematik
3 Journal of the American Mathematical Society
3 Journal of Scientific Computing
3 Bulletin of the American Mathematical Society. New Series
3 Journal of the European Mathematical Society (JEMS)
3 Acta Mathematica Sinica. English Series
3 Journal of High Energy Physics
3 Journal of Evolution Equations
3 Discrete and Continuous Dynamical Systems. Series B
3 Advanced Nonlinear Studies
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Advances in Calculus of Variations
3 Peking Mathematical Journal
2 Bulletin of the Australian Mathematical Society
2 Computer Methods in Applied Mechanics and Engineering
2 Israel Journal of Mathematics
2 Journal of Computational Physics
2 Mathematical Methods in the Applied Sciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Mathematics of Computation
2 American Journal of Mathematics
2 Applied Mathematics and Computation
2 Journal of the Korean Mathematical Society
2 Mathematische Nachrichten
2 Osaka Journal of Mathematics
2 Rendiconti del Seminario Matematico della Università di Padova
2 SIAM Journal on Numerical Analysis
2 Applied Numerical Mathematics
2 Probability Theory and Related Fields
2 Revista Matemática Iberoamericana
2 Journal of Theoretical Probability
2 Sugaku Expositions
2 IMRN. International Mathematics Research Notices
2 SIAM Journal on Scientific Computing
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Physical Review Letters
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Communications on Pure and Applied Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Frontiers of Mathematics in China
...and 92 more Serials
all top 5

Cited in 41 Fields

693 Differential geometry (53-XX)
332 Partial differential equations (35-XX)
144 Relativity and gravitational theory (83-XX)
110 Global analysis, analysis on manifolds (58-XX)
106 Calculus of variations and optimal control; optimization (49-XX)
48 Numerical analysis (65-XX)
32 Several complex variables and analytic spaces (32-XX)
26 Probability theory and stochastic processes (60-XX)
20 Mechanics of deformable solids (74-XX)
19 Fluid mechanics (76-XX)
19 Statistical mechanics, structure of matter (82-XX)
15 Convex and discrete geometry (52-XX)
14 Measure and integration (28-XX)
14 Potential theory (31-XX)
14 Operator theory (47-XX)
13 Algebraic geometry (14-XX)
11 Real functions (26-XX)
11 Dynamical systems and ergodic theory (37-XX)
8 Functional analysis (46-XX)
8 Geometry (51-XX)
8 Mechanics of particles and systems (70-XX)
8 Quantum theory (81-XX)
7 Manifolds and cell complexes (57-XX)
6 General and overarching topics; collections (00-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Ordinary differential equations (34-XX)
5 Computer science (68-XX)
3 Approximations and expansions (41-XX)
3 General topology (54-XX)
3 Optics, electromagnetic theory (78-XX)
3 Operations research, mathematical programming (90-XX)
3 Biology and other natural sciences (92-XX)
2 Difference and functional equations (39-XX)
2 Integral equations (45-XX)
2 Systems theory; control (93-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Astronomy and astrophysics (85-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year