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Author ID: friedman.avner Recent zbMATH articles by "Friedman, Avner"
Published as: Friedman, Avner; Friedman, A.
External Links: MGP · Wikidata · GND · IdRef
all top 5

Co-Authors

210 single-authored
43 Caffarelli, Luis Ángel
35 Hu, Bei
12 Chen, Xinfu
12 Velázquez, Juan J. L.
11 Reitich, Fernando
10 Alt, Hans Wilhelm
9 Siewe, Nourridine
8 DiBenedetto, Emmanuele
8 Hao, Wenrui
8 McLeod, John Bryce
8 Yakubu, Abdul-Aziz
7 Fontelos López, Marco Antonio
6 Bazaliy, Borys V.
6 Cui, Shangbin
6 Kim, Yangjin
6 Ledzewicz, Urszula
5 Anderson, Robert F. V.
5 Devinatz, Allen
5 Lai, Xiulan
5 Lam, King-Yeung
5 Pinsky, Mark Allan
5 Xue, Chuan
4 Bellout, Hamid
4 Bensoussan, Alain
4 Brézis, Haïm
4 Craciun, Gheorghe
4 Huang, Chaocheng
4 Kao, Chiu-Yen
4 Littman, Walter
4 Shinbrot, Marvin
4 Torelli, Alessandro
4 Turkington, Bruce E.
4 Vogelius, Michael S.
3 Aguda, Baltazar D.
3 Elliott, Charles M.
3 Evans, Lawrence Craig
3 Herrero, Miguel Ángel
3 Huang, Shaoyun
3 Jiang, Lishang
3 Lacey, Andrew A.
3 Liao, Kang-Ling
3 Liu, Yong
3 Ross, David Stuart
2 Bai, Xue-Feng
2 Baiocchi, Claudio
2 Bazaliy, Yaroslaw B.
2 Chen, Duan
2 Dembele, Bassidy
2 Elliott, Robert James
2 Goel, Pranay
2 Green, J. Edward F.
2 Isakov, Victor M.
2 Jain, Harsh Vardhan
2 Kashdan, Eugene
2 Kaur, Balveen
2 Kinderlehrer, David
2 Lesinski, Gregory B.
2 Liu, Wenxiong
2 Lo, Wing-Cheong
2 Lungu, Edward M.
2 Marsh, Clay B.
2 Moise, Nicolae
2 Oswald, Luc
2 Ou, Biao
2 Pozzi, Gianni Arrigo
2 Satoskar, Abhay R.
2 Schättler, Heinz Michael
2 Shih, Chih-Wen
2 Tao, Youshan
2 Tzavaras, Athanasios E.
2 Véron, Laurent
2 Vogel, Thomas Irvin
2 Yong, Jiongmin
2 Zhang, Jianhua
1 Aronson, Donald G.
1 Arsenescu, Razvan I.
1 Atiyah, Michael Francis
1 Banasiak, Jacek
1 Bao, Gang
1 Barbu, Viorel
1 Bassom, Andrew P.
1 Beckenbach, Edwin Ford
1 Bell, Jonathan
1 Bemelmans, Josef
1 Bernis, Francisco
1 Bojarski, Bogdan
1 Borisovich, Andreĭ Yur’evich
1 Borisyuk, Alla
1 Boushaba, Khalid
1 Brokate, Martin
1 Bruno, Oscar P.
1 Budd, Christopher John
1 Caligiuri, Michael A.
1 Chechkin, Gregory Aleksandrovich
1 Chiocca, E. Antonio
1 Chou, Ching-Shan
1 Conley, Elizabeth
1 Conwell, Darwin L.
1 Coskun, Huseyin
1 Crouser, Elliott D.
...and 112 more Co-Authors
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Serials

48 Journal of Differential Equations
46 Transactions of the American Mathematical Society
38 Archive for Rational Mechanics and Analysis
34 Indiana University Mathematics Journal
26 Journal of Mathematical Analysis and Applications
21 Journal of Mathematics and Mechanics
20 SIAM Journal on Mathematical Analysis
15 Journal of Theoretical Biology
14 Bulletin of Mathematical Biology
13 Mathematical Biosciences and Engineering
12 Communications in Partial Differential Equations
11 The IMA Volumes in Mathematics and its Applications
10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
10 Pacific Journal of Mathematics
10 SIAM Journal on Control and Optimization
10 Nonlinear Analysis. Theory, Methods & Applications
8 Journal of Mathematical Biology
8 Discrete and Continuous Dynamical Systems. Series B
7 SIAM Journal on Applied Mathematics
5 Duke Mathematical Journal
5 Proceedings of the American Mathematical Society
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Proceedings of the National Academy of Sciences of the United States of America
5 Bulletin of the American Mathematical Society
4 Mathematical Biosciences
4 Journal of Functional Analysis
4 Journal für die Reine und Angewandte Mathematik
4 Kiberneticheskiĭ Sbornik. Novaya Seriya
4 European Journal of Applied Mathematics
4 Interfaces and Free Boundaries
3 Journal d’Analyse Mathématique
3 Acta Mathematica
3 Illinois Journal of Mathematics
3 Michigan Mathematical Journal
3 Notices of the American Mathematical Society
3 Lecture Notes in Mathematics
3 Journal of Biological Dynamics
2 Communications on Pure and Applied Mathematics
2 American Journal of Mathematics
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annales Polonici Mathematici
2 Mathematics of Operations Research
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Quarterly of Applied Mathematics
2 Asymptotic Analysis
2 SIAM Review
2 Discrete and Continuous Dynamical Systems
2 Multiscale Modeling & Simulation
2 Mathematical Modelling of Natural Phenomena
2 Lecture Notes on Mathematical Modelling in the Life Sciences
2 Oxford Graduate Texts
1 Inverse Problems
1 Israel Journal of Mathematics
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Reviews of Modern Physics
1 Rocky Mountain Journal of Mathematics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Applied Mathematics and Optimization
1 Journal of the Faculty of Science. Section I A
1 Journal of Optimization Theory and Applications
1 Chinese Annals of Mathematics. Series B
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Non-Newtonian Fluid Mechanics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Bollettino della Unione Matemàtica Italiana. Serie VII. B
1 Continuum Mechanics and Thermodynamics
1 Applied Mathematics. Series A (Chinese Edition)
1 Journal of Mathematical Sciences (New York)
1 Finance and Stochastics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales (España)
1 SIAM Journal on Control
1 Regional Conference Series in Mathematics
1 Mathematics in Industry
1 Networks and Heterogeneous Media
1 Science China. Mathematics
1 Philosophical Transactions A. Royal Society of London
1 CBMS Regional Conference Series in Mathematics
1 Springer Undergraduate Texts in Mathematics and Technology
all top 5

Fields

314 Partial differential equations (35-XX)
132 Biology and other natural sciences (92-XX)
73 Fluid mechanics (76-XX)
68 Calculus of variations and optimal control; optimization (49-XX)
39 Probability theory and stochastic processes (60-XX)
33 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
28 Mechanics of deformable solids (74-XX)
27 General and overarching topics; collections (00-XX)
25 Systems theory; control (93-XX)
19 Ordinary differential equations (34-XX)
19 Optics, electromagnetic theory (78-XX)
16 Classical thermodynamics, heat transfer (80-XX)
12 Statistics (62-XX)
11 Operations research, mathematical programming (90-XX)
10 Potential theory (31-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Operator theory (47-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Integral equations (45-XX)
5 Numerical analysis (65-XX)
3 History and biography (01-XX)
3 Real functions (26-XX)
3 Functional analysis (46-XX)
3 Global analysis, analysis on manifolds (58-XX)
2 Measure and integration (28-XX)
2 Special functions (33-XX)
2 Mechanics of particles and systems (70-XX)
2 Quantum theory (81-XX)
2 Astronomy and astrophysics (85-XX)
2 Geophysics (86-XX)
1 Combinatorics (05-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

Citations contained in zbMATH Open

467 Publications have been cited 12,126 times in 8,850 Documents Cited by Year
Partial differential equations of parabolic type. Zbl 0144.34903
Friedman, Avner
1964
Partial differential equations. Zbl 0224.35002
Friedman, Avner
519
1969
Variational principles and free-boundary problems. Zbl 0564.49002
Friedman, Avner
429
1982
Stochastic differential equations and applications. Vol. 1. Zbl 0323.60056
Friedman, Avner
367
1975
Blow-up of positive solutions of semilinear heat equations. Zbl 0576.35068
Friedman, Avner; McLeod, Bryce
350
1985
Variational problems with two phases and their free boundary. Zbl 0844.35137
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
211
1984
Higher order nonlinear degenerate parabolic equations. Zbl 0702.35143
Bernis, Francisco; Friedman, Avner
202
1990
Differential games. Zbl 0229.90060
Friedman, Avner
197
1971
Hölder estimates for non-linear degenerate parabolic systems. Zbl 0549.35061
DiBenedetto, Emmanuele; Friedman, Avner
187
1985
Stochastic differential equations and applications. Vol. 2. Zbl 0323.60057
Friedman, Avner
177
1976
Analysis of a mathematical model for the growth of tumors. Zbl 0944.92018
Friedman, Avner; Reitich, Fernando
153
1999
Nonlinear parabolic equations involving measures as initial conditions. Zbl 0527.35043
Brézis, Haïm; Friedman, Avner
144
1983
Classes of solutions of linear systems of partial differential equations of parabolic type. Zbl 0092.31002
Friedman, Avner
140
1957
The Stefan problem in several space variables. Zbl 0162.41903
Friedman, A.
104
1968
Convexity of solutions of semilinear elliptic equations. Zbl 0599.35065
Caffarelli, Luis A.; Friedman, Avner
103
1985
A free boundary problem arising in a model of wound healing. Zbl 0972.35193
Chen, Xinfu; Friedman, Avner
99
2000
Variational principles and free-boundary problems. Reprint. Zbl 0671.49001
Friedman, Avner
97
1988
Generalized functions and partial differential equations. Zbl 0116.07002
Friedman, A.
90
1963
Regularity of solutions of nonlinear degenerate parabolic systems. Zbl 0527.35038
DiBenedetto, Emmanuele; Friedman, Avner
83
1984
Monotonic decay of solutions of parabolic equations with nonlocal boundary conditions. Zbl 0631.35041
Friedman, Avner
81
1986
Regularity of the free boundary of a gas flow in an \(n\)-dimensional porous medium. Zbl 0439.76085
Caffarelli, Luis A.; Friedman, Avner
80
1980
Symmetry-breaking bifurcation of analytic solutions to free boundary problems: An application to a model of tumor growth. Zbl 0983.35019
Friedman, Avner; Reitich, Fernando
79
2001
Mathematical analysis of a model for the initiation of angiogenesis. Zbl 1020.35030
Fontelos, Marco A.; Friedman, Avner; Hu, Bei
75
2002
Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence. Zbl 0684.35087
Friedman, Avner; Vogelius, Michael
73
1989
Foundations of modern analysis. Zbl 0198.07601
Friedman, Avner
71
1970
Parabolic variational inequalities in one space dimension and smoothness of the free boundary. Zbl 0295.35045
Friedman, Avner
71
1975
Analysis of a mathematical model of the effect of inhibitors on the growth of tumors. Zbl 0998.92022
Cui, Shangbin; Friedman, Avner
70
2000
Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039
Friedman, Avner; Hu, Bei
65
2006
The asymptotic behavior of gas in an \(n\)-dimensional porous medium. Zbl 0447.76076
Friedman, Avner; Kamin, Shoshana
64
1980
Blow-up of solutions of nonlinear degenerate parabolic equations. Zbl 0619.35060
Friedman, Avner; McLeod, Bryce
63
1986
Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013
Friedman, Avner
63
2007
Optimal stochastic switching and the Dirichlet problem for the Bellman equation. Zbl 0425.35046
Evans, Lawrence C.; Friedman, Avner
62
1979
A free boundary problem for quasi-linear elliptic equations. Zbl 0554.35129
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
62
1984
A free boundary problem for an elliptic-hyperbolic system: an application to tumor growth. Zbl 1054.35144
Chen, Xinfu; Friedman, Avner
59
2003
The obstacle problem for the biharmonic operator. Zbl 0405.31007
Caffarelli, Luis A.; Friedman, Avner
59
1979
Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations. Zbl 0593.35047
Caffarelli, Luis A.; Friedman, Avner
57
1985
Determining cracks by boundary measurements. Zbl 0697.35165
Friedman, Avner; Vogelius, Michael
57
1989
A one phase Stefan problem. Zbl 0334.49002
Friedman, Avner; Kinderlehrer, David
57
1975
Remarks on the maximum principle for parabolic equations and its applications. Zbl 0103.06403
Friedman, Avner
57
1958
The boundary-value problem in domains with very rapidly oscillating boundary. Zbl 0938.35049
Chechkin, Gregory A.; Friedman, Avner; Piatnitski, Andrey L.
56
1999
Volterra integral equations in Banach space. Zbl 0147.12302
Friedman, A.; Shinbrot, M.
55
1967
Free boundary problems for parabolic equations. I: Melting of solids. Zbl 0089.07801
Friedman, Avner
55
1959
Stability of solutions of chemotaxis equations in reinforced random walks. Zbl 1025.35005
Friedman, Avner; Tello, J. Ignacio
54
2002
On the regularity of the solutions of nonlinear elliptic and parabolic systems of partial differential equations. Zbl 0078.27702
Friedman, Avner
53
1958
Partial differential equations of parabolic type. Zbl 0173.12701
Friedman, A.
51
1968
A hierarchy of cancer models and their mathematical challenges. Zbl 1052.35094
Friedman, Avner
51
2004
Symmetry-breaking bifurcations of free boundary problems in three dimensions. Zbl 1054.35145
Fontelos, Marco A.; Friedman, Avner
51
2003
Analysis of a mathematical model of the growth of necrotic tumors. Zbl 0984.35169
Cui, Shangbin; Friedman, Avner
51
2001
Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106
Friedman, Avner; Hu, Bei
50
2006
Continuity of the density of a gas flow in a porous medium. Zbl 0425.35060
Caffarelli, Luis A.; Friedman, Avner
49
1979
Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059
Friedman, Avner; Hu, Bei
49
2008
Stochastic differential games. Zbl 0208.39402
Friedman, Avner
47
1972
The free boundary of a semilinear elliptic equation. Zbl 0552.35079
Friedman, Avner; Phillips, Daniel
47
1984
Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107
Friedman, Avner; Hu, Bei
46
2007
Foundations of modern analysis. Reprint of the 1970 orig. Zbl 0557.46001
Friedman, Avner
45
1982
Stochastic differential equations and applications. Reprint of the 1975 and 1976 original editions. Zbl 1113.60003
Friedman, Avner
44
2006
The blow-up boundary for nonlinear wave equations. Zbl 0638.35053
Caffarelli, Luis A.; Friedman, Avner
44
1986
A single point blow-up for solutions of semilinear parabolic systems. Zbl 0648.35042
Friedman, Avner; Giga, Yoshikazu
44
1987
The shape of axisymmetric rotating fluid. Zbl 0439.35068
Caffarelli, Luis A.; Friedman, Avner
44
1980
Asymptotic estimates for the plasma problem. Zbl 0466.35033
Caffarelli, Luis A.; Friedman, Avner
43
1980
Optimal control for variational inequalities. Zbl 0604.49007
Friedman, Avner
43
1986
The time-harmonic Maxwell equations in a doubly periodic structure. Zbl 0759.35046
Dobson, David; Friedman, Avner
41
1992
On the uniqueness in the inverse conductivity problem with one measurement. Zbl 0703.35165
Friedman, Avner; Isakov, Victor
41
1989
A free boundary problem for an elliptic-parabolic system: application to a model of tumor growth. Zbl 1031.35151
Bazaliy, Borys V.; Friedman, Avner
41
2003
Reinforcement problems for elliptic equations and variational inequalities. Zbl 0434.35079
Brézis, Haïm; Caffarelli, Luis A.; Friedman, Avner
41
1980
Analysis of a mathematical model of tumor lymphangiogenesis. Zbl 1060.92036
Friedman, Avner; Lolas, Georgios
41
2005
A mathematical model for pancreatic cancer growth and treatments. Zbl 1412.92154
Louzoun, Yoram; Xue, Chuan; Lesinski, Gregory B.; Friedman, Avner
41
2014
Nonlinear variational inequalities and differential games with stopping times. Zbl 0297.90120
Bensoussan, Alain; Friedman, Avner
40
1974
Nonlinear stability of a quasi-static Stefan problem with surface tension: a continuation approach. Zbl 1072.35208
Reitich, Fernando; Friedman, Avner
40
2001
Analysis of a free-boundary tumor model with angiogenesis. Zbl 1344.35172
Friedman, Avner; Lam, King-Yeung
39
2015
Axially symmetric jet flows. Zbl 0515.76017
Alt, H. W.; Caffarelli, L. A.; Friedman, A.
39
1983
The ill-posed Hele-Shaw model and the Stefan problem for supercooled water. Zbl 0621.35102
DiBenedetto, Emmanuele; Friedman, Avner
39
1984
Extinction properties of semilinear heat equations with strong absorption. Zbl 0655.35050
Friedman, Avner; Herrero, Miguel A.
39
1987
Regularity of the free boundary for the one-dimensional flow of gas in a porous medium. Zbl 0439.76084
Caffarelli, Luis A.; Friedman, Avner
39
1979
Vortex rings: existence and asymptotic estimates. Zbl 0497.76031
Friedman, Avner; Turkington, Bruce
38
1981
Addendum to “Hölder estimates for nonlinear degenerate parabolic systems”. Zbl 0595.35065
DiBenedetto, Emmanuelle; Friedman, Avner
35
1985
Nonzero-sum stochastic differential games with stopping times and free boundary problems. Zbl 0368.93029
Bensoussan, Alain; Friedman, Avner
35
1977
On integral equations of Volterra type. Zbl 0134.31502
Friedman, A.
35
1963
Jets with two fluids. I. One free boundary. Zbl 0551.76013
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
35
1984
Differentiability of the blow-up curve for one dimensional nonlinear wave equations. Zbl 0593.35055
Caffarelli, Luis A.; Friedman, Avner
33
1985
Global existence and asymptotic stability for an elliptic-parabolic free boundary problem: an application to a model of tumor growth. Zbl 1089.35079
Bazaliy, Borys; Friedman, Avner
33
2003
Interior estimates for parabolic systems of partial differential equations. Zbl 0082.30402
Friedman, Avner
33
1958
Asymmetric jet flows. Zbl 0515.76018
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
32
1982
Systems of nonlinear wave equations with nonlinear viscosity. Zbl 0685.35070
Friedman, Avner; Nečas, Jindřich
32
1988
Jet flows with gravity. Zbl 0561.76022
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
31
1982
Asymptotic behavior of solutions of \(u_ t=\Delta u^ m\) as \(m\to \infty\). Zbl 0651.35039
Caffarelli, Luis A.; Friedman, Avner
30
1987
A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors. Zbl 1334.92198
Friedman, Avner; Hao, Wenrui
29
2015
Blow-up of solutions of nonlinear heat equations. Zbl 0653.35038
Caffarelli, Luis A.; Friedman, Avner
29
1988
Maxwell’s equations in a periodic structure. Zbl 0727.35131
Chen, Xinfu; Friedman, Avner
29
1991
A free boundary problem for a singular system of differential equations: An application to a model of tumor growth. Zbl 1036.34018
Cui, Shangbin; Friedman, Avner
29
2003
Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013
Friedman, Avner; Hu, Bei
29
2007
Compressible flows of jets and cavities. Zbl 0614.76074
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
27
1985
Periodic behaviour for the evolutionary dam problem and related free boundary problems. Zbl 0624.35084
DiBenedetto, Emmanuele; Friedman, Avner
27
1986
Optimal control for parabolic variational inequalities. Zbl 0624.49005
Friedman, Avner
27
1987
Continuity of the temperature in the Stefan problem. Zbl 0406.35032
Caffarelli, Luis A.; Friedman, Avner
27
1979
The asymptotic behavior of the first real eigenvalue of second order elliptic operators with a smallparameter in the highest derivatives. II. Zbl 0263.35026
Devinatz, Allen; Ellis, Richard; Friedman, Avner
26
1974
Stochastic games and variational inequalities. Zbl 0285.90089
Friedman, Avner
26
1973
Jets with two fluids. II: Two free boundaries. Zbl 0588.76017
Alt, Hans Wilhelm; Caffarelli, Luis A.; Friedman, Avner
26
1984
The free boundary for elastic-plastic torsion problems. Zbl 0426.35033
Caffarelli, Luis A.; Friedman, Avner
25
1979
Isometric embedding of riemannian manifolds into Euclidean spaces. Zbl 0137.14901
Friedman, A.
25
1965
Mathematical modeling of cancer treatment with radiation and PD-L1 inhibitor. Zbl 1431.35253
Lai, Xiulan; Friedman, Avner
5
2020
Mathematical model of chronic dermal wounds in diabetes and obesity. Zbl 1453.92073
Friedman, Avner; Siewe, Nourridine
1
2020
Overcoming drug resistance to BRAF inhibitor. Zbl 1432.92046
Friedman, Avner; Siewe, Nourridine
1
2020
Increase hemoglobin level in severe malarial anemia while controlling parasitemia: a mathematical model. Zbl 1448.92104
Siewe, Nourridine; Friedman, Avner
1
2020
Mathematical modeling in scheduling cancer treatment with combination of VEGF inhibitor and chemotherapy drugs. Zbl 1406.92312
Lai, Xiulan; Friedman, Avner
6
2019
Antagonism and negative side-effects in combination therapy for cancer. Zbl 1418.35386
Friedman, Avner; Lai, Xiulan
3
2019
Free boundary problems associated with cancer treatment by combination therapy. Zbl 1425.35240
Friedman, Avner; Lai, Xiulan
2
2019
Rheumatoid arthritis – a mathematical model. Zbl 1406.92273
Moise, Nicolae; Friedman, Avner
2
2019
Mathematical biology: modeling and analysis. Zbl 1404.92002
Friedman, Avner
11
2018
The role of exosomes in pancreatic cancer microenvironment. Zbl 1394.92056
Friedman, Avner; Hao, Wenrui
9
2018
Complex role of NK cells in regulation of oncolytic virus-bortezomib therapy. Zbl 1416.92051
Kim, Yangjin; Yoo, Ji Young; Lee, Tae Jin; Liu, Joseph; Yu, Jianhua; Caligiuri, Michael A.; Kaur, Balveen; Friedman, Avner
3
2018
Free boundary problems arising in biology. Zbl 1374.35409
Friedman, Avner
1
2018
Mathematical model of chronic pancreatitis. Zbl 1404.92096
Hao, Wenrui; Komar, Hannah M.; Hart, Phil A.; Conwell, Darwin L.; Lesinski, Gregory B.; Friedman, Avner
8
2017
Granuloma formation in leishmaniasis: a mathematical model. Zbl 1368.92087
Siewe, Nourridine; Yakubu, Abdul-Aziz; Satoskar, Abhay R; Friedman, Avner
7
2017
Mathematical modeling of liver fibrosis. Zbl 1348.92079
Friedman, Avner; Hao, Wenrui
4
2017
The role of TNF-\(\alpha\) inhibitor in glioma virotherapy: a mathematical model. Zbl 1362.92034
Ratajczyk, Elzbieta; Ledzewicz, Urszula; Leszczynski, Maciej; Friedman, Avner
4
2017
Immune response to infection by Leishmania: a mathematical model. Zbl 1341.92042
Siewe, Nourridine; Yakubu, Abdul-Aziz; Satoskar, Abhay R; Friedman, Avner
8
2016
Introduction to mathematical biology. Modeling, analysis, and simulations. Zbl 1351.92001
Chou, Ching-Shan; Friedman, Avner
7
2016
Free boundary problems for systems of Stokes equations. Zbl 1357.35298
Friedman, Avner
6
2016
Analysis of a free-boundary tumor model with angiogenesis. Zbl 1344.35172
Friedman, Avner; Lam, King-Yeung
39
2015
A mathematical model of atherosclerosis with reverse cholesterol transport and associated risk factors. Zbl 1334.92198
Friedman, Avner; Hao, Wenrui
29
2015
A free boundary problem for steady small plaques in the artery and their stability. Zbl 1322.35181
Friedman, Avner; Hao, Wenrui; Hu, Bei
16
2015
Free boundary problems in biology. Zbl 1353.35291
Friedman, Avner
12
2015
Effects of CCN1 and macrophage content on glioma virotherapy: a mathematical model. Zbl 1335.92040
Jacobsen, Karly; Russell, Luke; Kaur, Balveen; Friedman, Avner
5
2015
A PDE model for the dynamics of trail formation by ants. Zbl 1311.35325
Fontelos, Marco A.; Friedman, Avner
3
2015
A mathematical model for pancreatic cancer growth and treatments. Zbl 1412.92154
Louzoun, Yoram; Xue, Chuan; Lesinski, Gregory B.; Friedman, Avner
41
2014
Mathematical model of sarcoidosis. Zbl 1355.92049
Hao, Wenrui; Crouser, Elliott D.; Friedman, Avner
22
2014
On a multiphase multicomponent model of biofilm growth. Zbl 1288.35388
Friedman, Avner; Hu, Bei; Xue, Chuan
10
2014
Mathematical modeling of biological processes. Zbl 1302.92004
Friedman, Avner; Kao, Chiu-Yen
5
2014
A Bovine babesiosis model with dispersion. Zbl 1282.92019
Friedman, Avner; Yakubu, Abdul-Aziz
3
2014
On the stability of steady states in a granuloma model. Zbl 1288.35482
Friedman, Avner; Lam, King-Yeung
3
2014
Mathematical model of renal interstitial fibrosis. Zbl 1355.92050
Hao, Wenrui; Rovin, Brad H.; Friedman, Avner
1
2014
Modulation of the camp response by \(\mathrm{G}\alpha _i\) and \(\mathrm{G}\beta \gamma \): a computational study of G protein signaling in immune cells. Zbl 1298.92038
Leander, R.; Friedman, A.
1
2014
Anthrax epizootic and migration: persistence or extinction. Zbl 1303.92116
Friedman, Avner; Yakubu, Abdul-Aziz
16
2013
Modeling prostate cancer response to continuous versus intermittent androgen ablation therapy. Zbl 1277.92013
Jain, Harsh Vardhan; Friedman, Avner
16
2013
A two-phase free boundary problem with discontinuous velocity: Application to tumor model. Zbl 1256.35208
Chen, Duan; Friedman, Avner
6
2013
The role of CD200-CD200R in tumor immune evasion. Zbl 1330.92024
Liao, Kang-Ling; Bai, Xue-Feng; Friedman, Avner
5
2013
Mathematical methods and models in biomedicine. Zbl 1254.92046
4
2013
Mathematical model of the roles of T cells in inflammatory bowel disease. Zbl 1272.92030
Lo, Wing-Cheong; Arsenescu, Razvan I.; Friedman, Avner
3
2013
Epidemiological models with seasonality. Zbl 1345.92140
Friedman, Avner
3
2013
A mathematical model for cell-induced gel compaction in vitro. Zbl 1257.92018
Green, J. E. F.; Bassom, Andrew P.; Friedman, Avner
2
2013
The diffusion approximation for linear nonautonomous reaction-hyperbolic equations. Zbl 1276.35014
Friedman, Avner; Hu, Bei; Keener, James P.
1
2013
Can malaria parasite pathogenesis be prevented by treatment with tumor necrosis factor-alpha? Zbl 1269.92044
Friedman, Avner; Lungu, Edward M.
1
2013
PDE problems arising in mathematical biology. Zbl 1260.49001
Friedman, Avner
16
2012
Host demographic Allee effect, fatal disease, and migration: persistence or extinction. Zbl 1273.34052
Friedman, Avner; Yakubu, Abdul-Aziz
12
2012
Hypoxia inducible factors-mediated inhibition of cancer by GM-CSF: a mathematical model. Zbl 1267.92043
Chen, Duan; Roda, Julie M.; Marsh, Clay B.; Eubank, Timothy D.; Friedman, Avner
11
2012
Modeling the inhibition of breast cancer growth by GM-CSF. Zbl 1337.92118
Szomolay, Barbara; Eubank, Tim D.; Roberts, Ryan D.; Marsh, Clay B.; Friedman, Avner
9
2012
Fatal disease and demographic Allee effect: population persistence and extinction. Zbl 1447.92337
Friedman, Avner; Yakubu, Abdul-Aziz
9
2012
A three dimensional model of wound healing: analysis and computation. Zbl 1395.92076
Friedman, Avner; Hu, Bei; Xue, Chuan
7
2012
Cancer as multifaceted disease. Zbl 1241.92038
Friedman, A.
6
2012
Conservation laws in mathematical biology. Zbl 1258.35142
Friedman, Avner
5
2012
Asymptotic limit in a cell differentiation model with consideration of transcription. Zbl 1267.34078
Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen
2
2012
Asymptotic analysis for the narrow escape problem. Zbl 1252.35030
Chen, Xinfu; Friedman, Avner
9
2011
A mathematical model for chronic wounds. Zbl 1259.92043
Friedman, Avner; Xue, Chuan
7
2011
Tumor cells proliferation and migration under the influence of their microenvironment. Zbl 1259.92042
Friedman, Avner; Kim, Yangjin
6
2011
Modeling the host response to inhalation anthrax. Zbl 1405.92143
Day, Judy; Friedman, Avner; Schlesinger, Larry S.
4
2011
Interaction of tumor with its micro-environment: a mathematical model. Zbl 1197.92027
Kim, Yangjin; Friedman, Avner
17
2010
Analysis of a mathematical model of ischemic cutaneous wounds. Zbl 1217.35195
Friedman, Avner; Hu, Bei; Xue, Chuan
13
2010
Mathematical model for optimal use of sulfadoxine-pyrimethamine as a temporary malaria vaccine. Zbl 1191.92025
Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz
8
2010
Transformed epithelial cells and fibroblasts/myofibroblasts interaction in breast tumor: a mathematical model and experiments. Zbl 1204.92041
Kim, Yangjin; Wallace, Julie; Li, Fu; Ostrowski, Michael; Friedman, Avner
6
2010
Cell cycle control at the first restriction point and its effect on tissue growth. Zbl 1202.92024
Friedman, Avner; Hu, Bei; Kao, Chiu-Yen
5
2010
Mathematical modeling of preadipocyte fate determination. Zbl 1406.92145
Coskun, Huseyin; Summerfield, Taryn L. S.; Kniss, Douglas A.; Friedman, Avner
2
2010
What is mathematical biology and how useful is it? Zbl 1254.92004
Friedman, Avner
1
2010
A model of drug resistance with infection by health care workers. Zbl 1259.92074
Friedman, Avner; Ziyadi, Najat; Boushaba, Khalid
1
2010
A mathematical model for pattern formation of glioma cells outside the tumor spheroid core. Zbl 1405.92032
Kim, Yangjin; Lawler, Sean; Nowicki, Michal O.; Chiocca, E. Antonio; Friedman, Avner
21
2009
Free boundary problems associated with multiscale tumor models. Zbl 1172.35080
Friedman, A.
14
2009
Malaria model with periodic mosquito birth and death rates. Zbl 1342.92232
Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz
11
2009
Asymptotic phases in a cell differentiation model. Zbl 1173.35590
Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen
5
2009
Stability and instability of Liapunov-Schmidt and Hopf bifurcation for a free boundary problem arising in a tumor model. Zbl 1161.35059
Friedman, Avner; Hu, Bei
49
2008
A multiscale tumor model. Zbl 1157.35501
Friedman, Avner
10
2008
Tutorials in mathematical biosciences IV. Evolution and ecology. Tutorials presented at the Mathematical Bioscience Institute (MBI) in the years 2005–2006. Zbl 1130.92002
10
2008
The extensional flow of a thin sheet of incompressible, transversely isotropic fluid. Zbl 1141.76009
Green, J. Edward F.; Friedman, Avner
6
2008
Models of cellular regulation. Zbl 1231.92030
Aguda, Baltazar D.; Friedman, Avner
6
2008
The role of oxygen in tissue maintenance: mathematical modeling and qualitive analysis. Zbl 1152.35524
Friedman, Avner; Hu, Bei
5
2008
A parabolic-hyperbolic quasilinear system. Zbl 1158.35004
Chen, Xinfu; Friedman, Avner; Hu, Bei
3
2008
Mathematical analysis and challenges arising from models of tumor growth. Zbl 1135.92013
Friedman, Avner
63
2007
Bifurcation for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1136.35107
Friedman, Avner; Hu, Bei
46
2007
Bifurcation from stability to instability for a free boundary problem modeling tumor growth by Stokes equation. Zbl 1122.35013
Friedman, Avner; Hu, Bei
29
2007
Uniform convergence for approximate traveling waves in linear reaction-hyperbolic systems. Zbl 1133.35006
Friedman, Avner; Hu, Bei
8
2007
Uniform convergence for approximate traveling waves in linear reaction-diffusion-hyperbolic systems. Zbl 1132.35006
Friedman, Avner; Hu, Bei
3
2007
One-dimensional free boundary problem for actin-based propulsion of Listeria. Zbl 1104.92016
Bazaliy, Borys; Bazaliy, Yaroslaw; Friedman, Avner
2
2007
Bifurcation from stability to instability for a free boundary problem arising in a tumor model. Zbl 1087.92039
Friedman, Avner; Hu, Bei
65
2006
Asymptotic stability for a free boundary problem arising in a tumor model. Zbl 1136.35106
Friedman, Avner; Hu, Bei
50
2006
Stochastic differential equations and applications. Reprint of the 1975 and 1976 original editions. Zbl 1113.60003
Friedman, Avner
44
2006
A free boundary problem for a coupled system of elliptic, hyperbolic, and Stokes equations modeling tumor growth. Zbl 1106.35145
Friedman, Avner
21
2006
Approximate traveling waves in linear reaction-hyperbolic equations. Zbl 1147.35330
Friedman, Avner; Craciun, Gheorghe
12
2006
Homogenization of the cell cytoplasm: the calcium bidomain equations. Zbl 1128.35303
Goel, Pranay; Sneyd, James; Friedman, Avner
9
2006
Tutorials in mathematical biosciences III. Cell cycle, prolifereation, and cancer. Zbl 1122.92030
7
2006
Differential games. Reprint of the 1971 original ed. Zbl 1225.91011
Friedman, Avner
3
2006
Analysis of a mathematical model of tumor lymphangiogenesis. Zbl 1060.92036
Friedman, Avner; Lolas, Georgios
41
2005
Symmetry-breaking bifurcations for free boundary problems. Zbl 1079.35012
Borisovich, Andrei; Friedman, Avner
24
2005
A hyperbolic free boundary problem modeling tumor growth: asymptotic behavior. Zbl 1082.35166
Chen, Xinfu; Cui, Shangbin; Friedman, Avner
21
2005
A model of intracellular transport of particles in an axon. Zbl 1068.92016
Friedman, Avner; Craciun, Gheorghe
16
2005
The Hele-Shaw problem with surface tension in a half-plane: a model problem. Zbl 1075.76022
Bazaliy, Borys V.; Friedman, Avner
15
2005
Generalized functions and partial differential equations. Reprint of the 1963 original. Zbl 1121.46001
Friedman, Avner
12
2005
The Hele-Shaw problem with surface tension in a half-plane. Zbl 1076.76028
Bazaliy, Borys V.; Friedman, Avner
11
2005
Tutorials in mathematical biosciences. I: Mathematical neuroscience. Zbl 1062.92008
Borisyuk, Alla; Ermentrout, Bard G.; Friedman, Avner; Terman, David
6
2005
A dynamical system model of neurofilament transport in axons. Zbl 1445.92053
Craciun, Gheorghe; Brown, Anthony; Friedman, Avner
6
2005
Symmetry-breaking bifurcations for free boundary problems. Zbl 1075.35117
Friedman, Avner
2
2005
Free boundary problems with surface tension conditions. Zbl 1153.35409
Friedman, Avner
1
2005
...and 367 more Documents
all top 5

Cited by 8,330 Authors

209 Friedman, Avner
53 Hu, Bei
53 Vazquez, Juan Luis
52 Mu, Chunlai
47 Winkler, Michael
39 Caffarelli, Luis Ángel
37 Shahgholian, Henrik
37 Xu, Shihe
36 Zheng, Sining
35 Galaktionov, Victor Aleksandrovich
35 Wang, Mingxin
33 Yi, Fahuai
31 Cui, Shangbin
30 Tao, Youshan
29 Liu, Bingchen
29 Pao, Chia-Ven
28 Chen, Xinfu
27 Lin, Zhigui
26 Cannon, John Rozier
26 Li, Fengjie
25 Fasano, Antonio
24 Du, Lili
24 Primicerio, Mario
23 Velázquez, Juan J. L.
22 Peletier, Lambertus Adrianus
22 Shen, Wenxian
22 Souplet, Philippe
21 Ammari, Habib
21 Díaz Díaz, Jesús Ildefonso
21 Guo, Jong-Shenq
20 Cao, Daomin
20 Xie, Chunhong
19 Ding, Juntang
19 Du, Yihong
19 Hao, Wenrui
19 Herrero, Miguel Ángel
19 Perthame, Benoît
19 Rossi, Julio Daniel
19 Weiss, Georg Sebastian
18 Aronson, Donald G.
18 Bögelein, Verena
18 De Angelis, Tiziano
18 Ishige, Kazuhiro
18 Karatzas, Ioannis
18 Mao, Xuerong
18 Véron, Laurent
18 Zaag, Hatem
17 Bao, Gang
17 Macías-Díaz, Jorge Eduardo
17 Taranets, Roman M.
17 Valdinoci, Enrico
17 Yin, Hongming
17 Yong, Jiongmin
16 Beretta, Elena
16 Bertsch, Michiel
16 Gao, Wenjie
16 Lee, Ki-Ahm
16 Lions, Pierre-Louis
16 Tarzia, Domingo Alberto
16 Yin, Jingxue
16 Zheng, Pan
15 Chechkin, Gregory Aleksandrovich
15 Cheng, Jianfeng
15 DiBenedetto, Emmanuele
15 Escher, Joachim
15 Hu, Guanghui
15 Kamin, Shoshana
15 Lenhart, Suzanne M.
15 Lesnic, Daniel
15 Mingione, Giuseppe
15 Pascucci, Andrea
15 Rodríguez-Bernal, Aníbal
15 Salsa, Sandro
15 Tesei, Alberto
15 Wu, Junde
14 Ambrazevičius, Algirdas
14 Ferrari, Fausto
14 Kang, Hyeonbae
14 Karakhanyan, Aram L.
14 Menozzi, Stéphane
13 Brenner, Susanne Cecelia
13 Cai, Jingjing
13 Ledzewicz, Urszula
13 Li, Peijun
13 Merle, Frank
13 Pukal’s’kyĭ, Ivan D.
13 Qi, Yuanwei
13 Suzuki, Takashi
13 Vasylyeva, Nataliya V.
13 Wang, Liangchen
13 Yang, Zhou
12 Alessandrini, Giovanni
12 Bai, Meng
12 Bandle, Catherine
12 Bellomo, Nicola
12 Evans, Lawrence Craig
12 Fernández-Cara, Enrique
12 Fila, Marek
12 Prüß, Jan Wilhelm
12 Quirós Gracián, Fernando
...and 8,230 more Authors
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Cited in 688 Serials

517 Journal of Differential Equations
490 Journal of Mathematical Analysis and Applications
231 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
217 Archive for Rational Mechanics and Analysis
199 Transactions of the American Mathematical Society
173 Nonlinear Analysis. Theory, Methods & Applications
155 Communications in Partial Differential Equations
128 Applicable Analysis
119 Calculus of Variations and Partial Differential Equations
112 Nonlinear Analysis. Real World Applications
103 Journal of Functional Analysis
102 Applied Mathematics and Computation
101 Annali di Matematica Pura ed Applicata. Serie Quarta
98 Proceedings of the American Mathematical Society
92 Mathematical Methods in the Applied Sciences
90 Applied Mathematics and Optimization
90 Discrete and Continuous Dynamical Systems. Series B
89 ZAMP. Zeitschrift für angewandte Mathematik und Physik
89 Journal of Computational and Applied Mathematics
88 Journal of Mathematical Sciences (New York)
87 SIAM Journal on Mathematical Analysis
83 Computers & Mathematics with Applications
82 Journal of Optimization Theory and Applications
76 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
74 Journal of Mathematical Biology
74 Journal de Mathématiques Pures et Appliquées. Neuvième Série
71 Stochastic Processes and their Applications
69 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
69 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
68 Discrete and Continuous Dynamical Systems
61 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
61 Boundary Value Problems
58 Journal of Theoretical Biology
57 Mathematische Zeitschrift
55 Communications in Mathematical Physics
54 Mathematische Annalen
51 Stochastic Analysis and Applications
50 The Annals of Applied Probability
49 Bulletin of Mathematical Biology
48 European Journal of Applied Mathematics
46 Journal of Mathematical Physics
45 Journal of Evolution Equations
43 Applied Mathematics Letters
42 Mathematics of Computation
42 Probability Theory and Related Fields
41 NoDEA. Nonlinear Differential Equations and Applications
40 Advances in Mathematics
40 Journal of Dynamics and Differential Equations
38 Ukrainian Mathematical Journal
38 Numerische Mathematik
37 SIAM Journal on Control and Optimization
37 Siberian Mathematical Journal
37 Acta Applicandae Mathematicae
36 Journal d’Analyse Mathématique
36 Journal of Computational Physics
36 Stochastics
35 Differential Equations
33 Manuscripta Mathematica
32 Mathematical Biosciences
32 Mathematical and Computer Modelling
32 Communications on Pure and Applied Analysis
30 Israel Journal of Mathematics
30 SIAM Journal on Applied Mathematics
30 Mathematical Biosciences and Engineering
29 Mathematical Notes
28 Quarterly of Applied Mathematics
27 Numerical Functional Analysis and Optimization
27 Bulletin of the American Mathematical Society
27 Discrete and Continuous Dynamical Systems. Series S
26 International Journal of Control
26 Inverse Problems
26 The Annals of Probability
26 Czechoslovak Mathematical Journal
26 Rendiconti del Seminario Matematico della Università di Padova
25 Computer Methods in Applied Mechanics and Engineering
25 Physica D
25 Acta Mathematicae Applicatae Sinica. English Series
25 Doklady Mathematics
25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
24 Communications on Pure and Applied Mathematics
24 Publications of the Research Institute for Mathematical Sciences, Kyoto University
24 Zeitschrift für Analysis und ihre Anwendungen
24 Applied Numerical Mathematics
24 Journal of Scientific Computing
24 The Journal of Geometric Analysis
24 Potential Analysis
24 Comptes Rendus. Mathématique. Académie des Sciences, Paris
23 Nonlinearity
22 Rocky Mountain Journal of Mathematics
22 Duke Mathematical Journal
22 Systems & Control Letters
22 Japan Journal of Industrial and Applied Mathematics
22 Applied Mathematical Modelling
22 Mathematical Finance
22 Science China. Mathematics
21 Journal of Applied Mathematics and Mechanics
21 Journal of Soviet Mathematics
21 Acta Mathematica Sinica. English Series
21 Advances in Difference Equations
20 Chinese Annals of Mathematics. Series B
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Cited in 57 Fields

6,120 Partial differential equations (35-XX)
1,187 Biology and other natural sciences (92-XX)
1,068 Probability theory and stochastic processes (60-XX)
948 Fluid mechanics (76-XX)
890 Numerical analysis (65-XX)
836 Calculus of variations and optimal control; optimization (49-XX)
646 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
457 Systems theory; control (93-XX)
421 Ordinary differential equations (34-XX)
361 Operator theory (47-XX)
343 Mechanics of deformable solids (74-XX)
293 Classical thermodynamics, heat transfer (80-XX)
232 Integral equations (45-XX)
190 Dynamical systems and ergodic theory (37-XX)
178 Global analysis, analysis on manifolds (58-XX)
161 Functional analysis (46-XX)
159 Statistical mechanics, structure of matter (82-XX)
146 Differential geometry (53-XX)
142 Optics, electromagnetic theory (78-XX)
137 Potential theory (31-XX)
101 Operations research, mathematical programming (90-XX)
87 Real functions (26-XX)
79 Statistics (62-XX)
60 Quantum theory (81-XX)
45 Measure and integration (28-XX)
45 Harmonic analysis on Euclidean spaces (42-XX)
43 Computer science (68-XX)
38 Geophysics (86-XX)
34 Information and communication theory, circuits (94-XX)
33 Astronomy and astrophysics (85-XX)
32 Approximations and expansions (41-XX)
31 Mechanics of particles and systems (70-XX)
28 Difference and functional equations (39-XX)
27 Functions of a complex variable (30-XX)
26 Relativity and gravitational theory (83-XX)
23 Integral transforms, operational calculus (44-XX)
17 Convex and discrete geometry (52-XX)
15 General and overarching topics; collections (00-XX)
12 Nonassociative rings and algebras (17-XX)
12 Several complex variables and analytic spaces (32-XX)
11 General topology (54-XX)
10 History and biography (01-XX)
10 Topological groups, Lie groups (22-XX)
10 Abstract harmonic analysis (43-XX)
9 Combinatorics (05-XX)
9 Special functions (33-XX)
9 Manifolds and cell complexes (57-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
5 Number theory (11-XX)
5 Group theory and generalizations (20-XX)
5 Geometry (51-XX)
3 Algebraic geometry (14-XX)
3 Mathematics education (97-XX)
2 Mathematical logic and foundations (03-XX)
2 Associative rings and algebras (16-XX)
2 Algebraic topology (55-XX)
1 Commutative algebra (13-XX)

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