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Advances in Mathematical Sciences and Applications

Short Title: Adv. Math. Sci. Appl.
Publisher: Gakkōtosho, Tokyo
ISSN: 1343-4373
Online: https://mcm-www.jwu.ac.jp/~aikit/AMSA/current.html
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 969 Publications (since 1992)
all top 5

Authors

30 Kenmochi, Nobuyuki
19 Agarwal, Ravi P.
15 Shirakawa, Ken
15 Yamazaki, Noriaki
14 Aiki, Toyohiko
13 Kubrusly, Carlos S.
13 Sprekels, Jürgen
12 Hoffmann, Karl-Heinz
12 Imai, Hitoshi
12 Oharu, Shinnosuke
12 Ôtani, Mitsuharu
11 Efendiev, Messoud
11 Ito, Akio
10 Alt, Hans Wilhelm
9 Boulanouar, Mohamed
9 Muntean, Adrian
9 Niezgódka, Marek
9 Suzuki, Takashi
9 Yamada, Yoshio
8 Giga, Yoshikazu
8 Omata, Seiro
7 Bressan, Glaucia Maria
7 Colli, Pierluigi
7 Fasano, Antonio
7 Nakao, Mitsuhiro
7 Tani, Atusi
6 Chipot, Michel
6 Farina, Angiolo
6 Gianni, Roberto
6 Kumazaki, Kota
6 Senba, Takasi
6 Witterstein, Gabriele
5 Fukao, Takeshi
5 Garcke, Harald
5 Grasselli, Maurizio
5 Kadoya, Atsushi
5 Murase, Yusuke
5 Primicerio, Mario
5 Shillor, Meir
5 Sofonea, Mircea
5 Švadlenka, Karel
4 Biroli, Marco
4 Buttazzo, Giuseppe
4 Comparini, Elena
4 Frémond, Michel
4 Fusi, Lorenzo
4 Ishimura, Naoyuki
4 Kano, Risei
4 Khludnev, Aleksandr Mikhaĭlovich
4 Klein, Olaf
4 Kosugi, Chiharu
4 Kubo, Masahiro
4 Kubota, Shodai
4 Kusano, Takaŝi
4 Lancia, Maria Rosaria
4 Luterotti, Fabio
4 Miyakawa, Tetsuro
4 Ono, Kosuke
4 Pawlow, Irena
4 Stefanelli, Ulisse
4 Takeuchi, Toshiki
4 Tanigawa, Tomoyuki
4 Tiba, Dan
4 Watanabe, Hiroshi
4 Yagi, Atsushi
4 Yokota, Tomomi
3 Asfaw, Teffera M.
3 Bagagiolo, Fabio
3 Bellettini, Giovanni
3 Bonfanti, Giovanna
3 Bucur, Dorin
3 Cioranescu, Doina
3 Dal Maso, Gianni
3 Damlamian, Alain
3 Deshmukh, Kishor Chintanamrao
3 Díaz Díaz, Jesús Ildefonso
3 Donato, Patrizia
3 Duggal, Bhagwati Prashad
3 Ebihara, Yukiyoshi
3 Fujiwara, Hiroshi
3 Furuya, Kiyoko
3 Gilardi, Gianni
3 Gokieli, Maria
3 Haslinger, Jaroslav
3 Henrot, Antoine
3 Hirose, Munemitsu
3 Hoshiga, Akira
3 Hui, Kin Ming
3 Ishii, Katsuyuki
3 Kartsatos, Athanassios G.
3 Kato, Nobuyuki
3 Kawarada, Hideo
3 Krejčí, Pavel
3 Kunisch, Karl
3 Kushida, Masahiro
3 Kuttler, Kenneth L. jun.
3 Mannucci, Paola
3 Maruo, Kenji
3 Mastroeni, Loretta
3 Matsumoto, Toshitaka
...and 1,015 more Authors
all top 5

Fields

668 Partial differential equations (35-XX)
149 Mechanics of deformable solids (74-XX)
126 Operator theory (47-XX)
123 Calculus of variations and optimal control; optimization (49-XX)
121 Fluid mechanics (76-XX)
103 Ordinary differential equations (34-XX)
76 Classical thermodynamics, heat transfer (80-XX)
74 Numerical analysis (65-XX)
73 Biology and other natural sciences (92-XX)
46 Statistical mechanics, structure of matter (82-XX)
36 Dynamical systems and ergodic theory (37-XX)
36 Integral equations (45-XX)
23 Global analysis, analysis on manifolds (58-XX)
22 Functional analysis (46-XX)
21 Operations research, mathematical programming (90-XX)
17 Systems theory; control (93-XX)
16 Optics, electromagnetic theory (78-XX)
15 Geophysics (86-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Real functions (26-XX)
10 Measure and integration (28-XX)
10 Differential geometry (53-XX)
9 Functions of a complex variable (30-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
8 Potential theory (31-XX)
8 Probability theory and stochastic processes (60-XX)
6 General topology (54-XX)
6 Statistics (62-XX)
6 Computer science (68-XX)
5 Mechanics of particles and systems (70-XX)
5 Information and communication theory, circuits (94-XX)
4 Difference and functional equations (39-XX)
4 Abstract harmonic analysis (43-XX)
3 History and biography (01-XX)
3 Sequences, series, summability (40-XX)
3 Integral transforms, operational calculus (44-XX)
3 Manifolds and cell complexes (57-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Special functions (33-XX)
2 Algebraic topology (55-XX)
2 Relativity and gravitational theory (83-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Approximations and expansions (41-XX)
1 Convex and discrete geometry (52-XX)
1 Quantum theory (81-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

620 Publications have been cited 4,809 times in 3,976 Documents Cited by Year
Blow-up of radially symmetric solutions to a chemotaxis system. Zbl 0843.92007
Nagai, Toshitaka
336
1995
Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021
Biler, Piotr
176
1998
Attractors for a damped hyperbolic equation with linear memory. Zbl 0999.35014
Pata, Vittorino; Zucchi, Adele
120
2001
Global solutions to some parabolic-elliptic systems of chemotaxis. Zbl 0941.35009
Biler, Piotr
119
1999
Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis. Zbl 0902.35010
Nagai, Toshitaka; Senba, Takasi
100
1998
A free boundary problem for a reaction-diffusion equation appearing in ecology. Zbl 1254.35248
Kaneko, Yuki; Yamada, Yoshio
76
2011
On a motion of a solid body in a viscous fluid. Two-dimensional case. Zbl 0966.76016
Hoffmann, K.-H.; Starovoitov, V. N.
65
1999
Global existence for a chemotaxis-growth system in \(\mathbb R^2\). Zbl 1054.35111
Osaki, Koichi; Yagi, Atsushi
60
2002
The Cahn-Hilliard equation: Mathematical and modeling perspectives. Zbl 0917.35044
Novick-Cohen, A.
60
1998
Abstract parabolic quasilinear equations and application to a groundwater flow problem. Zbl 0811.35040
Clément, Philippe; Li, Shuanhu
55
1994
Homogenization of a two-component composite with interfacial thermal barrier. Zbl 1052.35022
Monsurrò, Sara
54
2003
Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
43
1998
Quasi-linear elliptic and parabolic equations in \(L^ 1\) with nonlinear boundary conditions. Zbl 0882.35048
Andreu, F.; Mazón, J. M.; Segura de León, S.; Toledo, J.
42
1997
Some structures of the solution set for a stationary system of chemotaxis. Zbl 0999.35031
Senba, Takasi; Suzuki, Takashi
40
2000
Global solution to a nonlinear system for irreversible phase changes. Zbl 0956.35122
Bonfanti, Giovanna; Frémond, Michel; Luterotti, Fabio
36
2000
One-dimensional models of damage. Zbl 0915.73041
Frémond, Michel; Kuttler, Kenneth L.; Nedjar, B.; Shillor, Meir
35
1998
Remarks on blowup of solutions for nonlinear evolution equations of second order. Zbl 0920.35025
Ohta, Masahito
35
1998
Weak solutions to the Navier-Stokes-Poisson equation. Zbl 1162.35002
Kobayashi, Takayuki; Suzuki, Takashi
35
2008
Symmetrization in a parabolic-elliptic system related to chemotaxis. Zbl 0859.35004
Diaz, Jesus Ildefonso; Nagai, Toshitaka
34
1995
Existence and uniqueness of local classical solutions to modified tumor invasion models of Chaplain-Anderson type. Zbl 1328.35110
Fujie, Kentarou; Ito, Akio; Yokota, Tomomi
34
2014
The dynamics of elastic shocks via epigraphical regularization of a differential inclusion. Barrier and penalty approximations. Zbl 1038.49029
Attouch, H.; Cabot, A.; Redont, P.
33
2002
Some results on the asymptotic behavior of the Caginalp system with singular potentials. Zbl 1145.35042
Cherfils, Laurence; Miranville, Alain
32
2007
Existence results for diffusive surface motion laws. Zbl 0876.35050
Elliott, Charles M.; Garcke, Harald
31
1997
Global attractors for some quasi-linear wave equations with a strong dissipation. Zbl 1145.35044
Nakao, Mitsuhiro; Yang, Zhijian
30
2007
A modelling of elastic adhesive bounded joints. Zbl 0892.73007
Licht, Christian; Michaille, Gérard
27
1997
Nonlinear and non-coercive elliptic problems with integrable data. Zbl 1215.35066
Ben Cheikh Ali, Mohsen; Guibé, Olivier
25
2006
Quasivariational inequalities and applications in frictional contact problems with normal compliance. Zbl 0977.47057
Motreanu, Dumitru; Sofonea, Mircea
24
2000
Nonlocal models of phase transitions in solids. Zbl 0977.74044
Chen, C.-K.; Fife, P. C.
24
2000
The Cahn-Hilliard equation for deformable elastic continua. Zbl 0987.35156
Carrive, M.; Miranville, A.; Piétrus, A.
24
2000
Quasistatic frictional contact of a viscoelastic piezoelectric body. Zbl 1078.74036
Sofonea, Mircea; Essoufi, El-Hassan
24
2004
The initial value problems for quasilinear wave equations in two space dimensions with small data. Zbl 0829.35080
Hoshiga, Akira
23
1995
On Massera’s theorem for anti-periodic solution. Zbl 0924.34037
Chen, Y. Q.
23
1999
Necessary conditions and sufficient conditions for global existence in the nonlinear Schrödinger equation. Zbl 1330.35393
Bégout, Pascal
23
2002
Rigidity and one-dimensional symmetry for semilinear elliptic equations in the whole of \(\mathbb R^N\) and in half spaces. Zbl 1078.35036
Farina, Alberto
23
2003
Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage. Zbl 1253.35179
Heinemann, Christian; Kraus, Christiane
23
2011
Numerical studies of a non-stationary Ginzburg-Landau model for superconductivity. Zbl 0846.65051
Chen, Zhiming; Hoffmann, K.-H.
22
1995
Existence of attractor for the quasi-geostrophic approximation of the Navier-Stokes equations and estimate of its dimension. Zbl 0815.76086
Bernier, Christine
22
1994
Exponential stability of a viscoelastic Timoshenko beam. Zbl 0899.73172
Liu, Zhuangyi; Peng, Chang
22
1998
Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093
Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi
22
1999
Weak solutions and maximal regularity for abstract evolution inequalities. Zbl 0858.35073
Savaré, Giuseppe
22
1996
Existence and behavior of solutions for \(u_ t = \Delta (u^ m) + u^ \ell\). Zbl 0876.35061
Kawanago, Tadashi
21
1997
Asymptotic convergence of transmission energy forms. Zbl 1205.35129
Lancia, M. R.; Vivaldi, M. A.
21
2003
Instability of optical solitons for two-wave interaction model in cubic nonlinear media. Zbl 0922.35163
Tsutsumi, Yoshio; Zhang, Jian
21
1998
Disappearing interfaces in nonlinear diffusion. Zbl 0891.35071
Guedda, M.; Hilhorst, D.; Peletier, M. A.
21
1997
\(L^ 1\)-contraction and uniqueness for unstationary saturated-unsaturated porous media flow. Zbl 0888.35085
Otto, Felix
20
1997
Erratum for the paper: “Homogenization of a two-component composite with interfacial thermal barrier”. Zbl 1069.35500
Monsurrò, S.
20
2004
On some analogy between different approaches to first order PDE’s with non smooth coefficients. Zbl 0865.35032
Capuzzo Dolcetta, I.; Perthame, B.
20
1996
The periodic unfolding method for the wave equation in domains with Holes. Zbl 1295.35043
Donato, Patrizia; Yang, Zhanying
20
2012
On the entropy principle of phase transition models with a conserved order parameter. Zbl 0855.35122
Alt, Hans Wilhelm; Pawlow, Irena
19
1996
Principal solutions of non-oscillatory half-linear differential equations. Zbl 0914.34031
Elbert, Árpád; Kusano, Takaŝi
19
1998
Attractors and their regularity for 2-D wave equations with nonlinear damping. Zbl 1145.35045
Pata, Vittorino; Zelik, Sergey
19
2007
Uniqueness results for equations of the \(p(x)\)-Laplacian type. Zbl 1132.35362
Antontsev, S.; Chipot, M.; Xie, Y.
19
2007
From nonlocal to local Cahn-Hilliard equation. Zbl 1471.45009
Melchionna, Stefano; Ranetbauer, Helene; Scarpa, Luca; Trussardi, Lara
19
2019
Decay properties of weak solutions to a perturbed Navier-Stokes system in \(\mathbb{R}^n\). Zbl 0893.35092
Chen, Zhimin; Miyakawa, Tetsuro
18
1997
The conserved phase-field system with memory. Zbl 0982.80006
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
17
2001
On some mixed boundary value problems with nonlocal diffusion. Zbl 1064.35083
Chang, N.-H.; Chipot, M.
17
2004
Semismooth Newton methods for a class of unilaterally constrained variational problems. Zbl 1083.49023
Hintermüller, M.; Kovtunenko, V.; Kunisch, K.
17
2004
On nonoscillatory solutions of differential equations with \(p\)-Laplacian. Zbl 0996.34039
Cecchi, M.; Došlá, Z.; Marini, M.
16
2001
On second-order half-linear oscillations. Zbl 0898.34036
Hoshino, H.; Imabayashi, R.; Kusano, T.; Tanigawa, T.
16
1998
Existence of a universal attractor for a parabolic-hyperbolic phase-field system. Zbl 1057.37068
Grasselli, Maurizio; Pata, Vittorino
16
2003
Extension of the Brezis-Ekeland-Nayroles priniciple to monotone operators. Zbl 1191.47067
Visintin, Augusto
16
2008
The entropy principle for interfaces. Fluids and solids. Zbl 1194.35003
Alt, Hans Wilhelm
16
2009
A variational approach to constructing weak solutions of semilinear hyperbolic systems. Zbl 0826.35015
Tachikawa, Atsushi
15
1994
Two-norm approach in stability and sensitivity analysis of optimization and optimal control problems. Zbl 0791.49015
Malanowski, K.
15
1993
Optimal control problems for models of phase-field type with hysteresis of play operator. Zbl 1287.49005
Hoffmann, Karl-Heinz; Kenmochi, Nobuyuki; Kubo, Masahiro; Yamazaki, Noriaki
15
2007
Analysis of a quasistatic viscoelastic problem with friction and damage. Zbl 0962.74044
Rochdi, M.; Shillor, M.; Sofonea, M.
14
2000
Heat kernel and resolvent properties for second order elliptic differential operators with general boundary conditions on \(L^p\). Zbl 1009.35021
Griepentrog, J. A.; Kaiser, H.-C.; Rehberg, J.
14
2001
Systems of nonlinear parabolic equations for phase change problems. Zbl 0827.35015
Kenmochi, Nobuyuki; Niezgódka, Marek
14
1994
Incompressible perfect fluid motion with free boundary of finite depth. Zbl 1038.76008
Ogawa, Masao; Tani, Atusi
14
2003
Weak solutions of nonlinear systems for non-isothermal phase transitions. Zbl 0930.35037
Kenmochi, Nobuyuki; Kubo, Masahiro
14
1999
Dirichlet problem for a degenerated hyperbolic-parabolic equation. Zbl 1103.35058
Vallet, Guy
14
2005
Type-II blowup of solutions to an elliptic-parabolic system. Zbl 1147.35013
Mizoguchi, Noriko; Senba, Takasi
14
2007
Upscaling of the dynamics of dislocation walls. Zbl 1326.74110
van Meurs, Patrick; Muntean, Adrian
14
2014
Well-posedness for the higher order nonlinear Schrödinger equation. Zbl 0959.35150
Takaoka, Hideo
13
2000
Large time behavior of solutions to a quasilinear parabolic equation with a nonlinear boundary condition. Zbl 1194.35055
Fila, Marek; Kawohl, Bernd
13
2001
Gravity-driven separation of oil-water dispersions. Zbl 0984.76094
Rosso, Fabio; Sona, Giuliano
13
2001
Global existence and asymptotic behavior of solutions for the Zakharov equations in three space dimensions. Zbl 0811.35004
Ozawa, Tohru; Tsutsumi, Yoshio
13
1994
New sufficient conditions for regularity of solutions to the Navier-Stokes equations. Zbl 1039.35077
He, Cheng
13
2002
On a nonlocal model of non-isothermal phase separation. Zbl 1039.80001
Gajewski, Herbert
13
2002
On a free boundary problem for an incompressible ideal fluid in two space dimensions. Zbl 0951.76011
Iguchi, Tatsuo; Tanaka, Naoto; Tani, Atusi
13
1999
On the regularity of the solutions for transmission problems. Zbl 1136.31311
Lancia, M. R.; Vivaldi, M. A.
13
2002
The unfolding operator near a hyperplane and its application to the Neumann sieve model. Zbl 1119.35102
Onofrei, Daniel
13
2006
Thermally driven phase transformation in shape-memory alloys. Zbl 1138.49014
Mielke, Alexander; Petrov, Adrien
13
2007
Uniqueness and nonuniqueness for reaction-diffusion equation with nonlocal boundary condition. Zbl 1183.35174
Gladkov, Alexander; Kim, Kwang Ik
13
2009
Metric viscosity solutions for Hamilton-Jacobi equations of evolution type. Zbl 1327.35059
Nakayasu, Atsushi
13
2014
Low frequency asymptotics for time-harmonic generalized Maxwell’s equations in nonsmooth exterior domains. Zbl 1119.35098
Pauly, Dirk
13
2006
Global solvability and asymptotic stability for the wave equation with nonlinear feedback and source term on the boundary. Zbl 1116.35093
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Soriano, J. A.
13
2006
Hölder continuity for weak extremals of some two-dimensional variational problems related to nonlinear elasticity. Zbl 0929.49021
Fuchs, Martin; Seregin, Gregori
12
1997
Construction of weak solutions of the Navier-Stokes equations on Riemannian manifold by minimizing variational functionals. Zbl 0944.58021
Nagasawa, Takeyuki
12
1999
Existence of solutions for non-isothermal phase separation. Zbl 0794.35072
Alt, Hans Wilhelm; Pawlow, Irena
12
1992
A subdifferential formulation of fourth order singular diffusion equations. Zbl 1067.35039
Kashima, Yohei
12
2004
Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law. Zbl 0930.35036
Colli, Pierluigi; Sprekels, Jürgen
12
1999
Exponential stability and singular limit for a linear thermoelastic plate with memory effects. Zbl 1123.35311
Grasselli, Maurizio; Squassina, Marco
12
2006
Analysis and simulation of a meso-scale model of diffusive resistance of bacterial biofilms to penetration of antibiotics. Zbl 1166.35341
Demaret, Laurent; Eberl, Hermann; Efendiev, Messoud; Lasser, Ruppert
12
2008
A well-posed hysteresis model for flows in porous media and applications to fingering effects. Zbl 1258.76155
Lamacz, Agnes; Rätz, Andreas; Schweizer, Ben
12
2011
Global well-posedness for the rotating Navier-Stokes-Boussinesq equations with stratification effects. Zbl 1283.35086
Koba, Hajime; Mahalov, Alex; Yoneda, Tsuyoshi
12
2012
Convergence results for parabolic transmission problems across highly conductive layers with small capacity. Zbl 1137.35042
Lancia, Maria Rosaria; Vernole, Paola
12
2006
The initial value problem for the Navier-Stokes equations with general slip boundary condition. Zbl 0813.35084
Tani, Atusi; Itoh, Shigeharu; Tanaka, Naoto
11
1994
Interface evolution with Neumann boundary condition. Zbl 0811.35069
Sato, Moto-Hiko
11
1994
Blow-up of radially symmetric solutions to some systems of partial differential equations modelling chemotaxis. Zbl 0877.35022
Senba, Takasi
11
1997
Maximal regularity in Morrey spaces and its application to two-dimensional Keller-Segel system. Zbl 1532.35105
Nogayama, Toru; Sawano, Yoshihiro
2
2023
Generalization of a two-dimensional Hardy type inequality for pseudo-integrals. Zbl 1528.26027
Daraby, Bayaz; Rahimi, Asghar; Tahmourasi, Mortaza
1
2023
A class of initial-boundary value problems governed by pseudo-parabolic weighted total variation flows. Zbl 1531.35162
Aiki, Toyohiko; Mizuno, Daiki; Shirakawa, Ken
1
2023
Time-dependence of the threshold function in the perfect plasticity model. Zbl 1531.74015
Akagawa, Yoshiho; Fukao, Takeshi; Kano, Risei
1
2023
On \(\mathcal{I}\)-statistical convergence almost surely of complex uncertain sequences. Zbl 07783300
Halder, Amit; Debnath, Shyamal
1
2023
Periodic solutions to Kobayashi-Warren-Carter systems. Zbl 1531.35032
Kubota, Shodai; Shirakawa, Ken
1
2023
The periodic unfolding method for countably many scales. Zbl 1533.49009
Cioranescu, Doina; Damlamian, Alain; Griso, Georges
1
2023
Space-time homogenization problems for porous medium equations with nonnegative initial data. Zbl 1507.35019
Akagi, Goro; Oka, Tomoyuki
3
2022
Mixed boundary value problem for a class of quasi-linear elliptic operators containing \(p(\cdot)\)-Laplacian in a variable exponent Sobolev space. Zbl 1511.35192
Aramaki, Junichi
3
2022
On the necessary conditions for preserving the nonnegative cone: double scale anomalous diffusion. Zbl 1507.35101
Efendiev, Messoud; Vougalter, Vitali
2
2022
The dual space of a complex Banach space restricted to the field of real numbers. Zbl 1516.46016
Bégout, Pascal
2
2022
Nonlocal to local convergence of singular phase field systems of conserved type. Zbl 1507.35083
Kurima, Shunsuke
2
2022
Hölder \(\rho\)-almost periodic type functions in \(\mathbb{R}^n\). Zbl 1507.42008
Kostić, Marko
1
2022
Weakly supercyclic power bounded operators of class \(C_{1cdot}\). Zbl 1493.47008
Kubrusly, Carlos S.; Duggal, Prashad Duggal
3
2021
On divergence of products of irregular scalar and solenoidal vector fields. Zbl 1483.35071
Tsuruhashi, Tomonori
2
2021
Identifying processes governing damage evolution in quasi-static elasticity. I: Analysis. Zbl 1487.74010
Grützner, Simon; Muntean, Adrian
1
2021
A new structure-preserving scheme with the staggered space mesh for the Cahn-Hilliard equation under a dynamic boundary condition. Zbl 1486.65122
Okumura, Makoto; Fukao, Takeshi
1
2021
Numerical results for ordinary and partial differential equations describing motions of elastic materials. Zbl 1483.65120
Kosugi, Chiharu; Aiki, Toyohiko; Anthonissen, Martijn; Okumura, Makoto
1
2021
Asymptotic limits, Banach limits and Cesáro means. Zbl 07377897
Kubrusly, C. S.; Duggal, B. P.
6
2020
Numerical schemes for ordinary differential equations describing shrinking and stretching motion of elastic materials. Zbl 07377911
Aiki, Toyohiko; Kosugi, Chiharu
3
2020
On the Helmholtz decompositions of vector fields of bounded mean oscillation and in real Hardy spaces over the half space. Zbl 1472.42036
Giga, Yoshikazu; Gu, Zhongyang
3
2020
Viscous Cahn-Hilliard equation with Dirichlet boundary condition. Zbl 1470.35134
Kagawa, Keiichiro; Otani, Mitsuharu
2
2020
Anticipation decides on lane formation in pedestrian counterflow – a simulation study. Zbl 1475.37107
Cirillo, Emilio N. M.; Muntean, Adrian
2
2020
Doubly nonlinear evolution inclusions of time-dependent subdifferentials-quasi-variational approach. Zbl 07377905
Kenmochi, Nobuyuki; Shirakawa, Ken; Yamazaki, Noriaki
1
2020
Parabolic quasi-variational inequalities. II: Remarks on continuity of solutions. Zbl 1470.35210
Gokieli, Maria; Kenmochi, Nobuyuki; Niezgódka, Marek
1
2020
Some iteration and Parseval-Goldstein type identities with their applications. Zbl 1478.44002
Karataş, Hilal Başak; Kumar, Dinesh; Uçar, Faruk
1
2020
Optimal control problems for 1D parabolic state-systems of KWC types with dynamic boundary conditions. Zbl 1475.35373
Kubota, Shodai; Nakayashiki, Ryota; Shirakawa, Ken
1
2020
A coupled PDE model of high intensity ultrasound heating of biological tissue. I: Well-posedness. Zbl 1475.35350
Efendiev, M. A.; Murley, J.; Sivaloganathan, S.
1
2020
From nonlocal to local Cahn-Hilliard equation. Zbl 1471.45009
Melchionna, Stefano; Ranetbauer, Helene; Scarpa, Luca; Trussardi, Lara
19
2019
Global existence and boundedness in a fully parabolic 2D attraction-repulsion system: chemotaxis-dominant case. Zbl 1470.35180
Fujie, Kantarou; Suzuki, Takashi
7
2019
Existence of weak solutions to stationary and evolutionary Maxwell-Stokes type problems and the asymptotic behavior of the solution. Zbl 1475.35326
Aramaki, Junichi
5
2019
Well-posedness and regularity for a fractional tumor growth model. Zbl 1477.35282
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
5
2019
Parameter delimitation of the weak solvability for a pseudo-parabolic system coupling chemical reactions, diffusion and momentum equations. Zbl 1470.35132
Vromans, Arthur J.; van de Ven, Fons; Muntean, Adrian
3
2019
Double Laplace transform in bicomplex space with applications. Zbl 1469.30104
Goswami, Mahesh Puri; Agarwal, Ritu; Agarwal, Ravi P.
2
2019
Homogenization of a moving boundary problem with prescribed normal velocity. Zbl 1470.35036
Eden, Michael
2
2019
Penalization via global functionals of optimal-control problems for dissipative evolution. Zbl 1470.49009
Portinale, Lorenzo; Stefanelli, Ulisse
2
2019
On the Sanskruti index of certain line graphs of subdivision graphs. Zbl 1469.05037
Hosamani, Sunilkumar; Lokesha, Veerebradiah; Devendraiah, K. M.; Farahani, Mohammed Reza; Cangul, Ismail Naci
1
2019
Long time behavior of a two fluid model. Zbl 1475.35277
Ghoul, Tej-eddine; Ibrahim, Slim; Shen, Shengyi
1
2019
Exact controllability of a strongly nonlinear wave equation with boundary controls. Zbl 1470.35226
Ton, Bui An
1
2019
Global well-posedness for a Cahn-Hilliard equation on bounded domains with permeable and non-permeable walls in maximal regularity spaces. Zbl 1470.35100
Kajiwara, Naoto
6
2018
A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213
Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki
4
2018
An energetic variational approach for nonlinear diffusion equations in moving thin domains. Zbl 1470.35033
Miura, Tatsu-Hiko; Giga, Yoshikazu; Liu, Chun
3
2018
Quasilinear type Kobayashi-Warren-Carter system including dynamic boundary condition. Zbl 1470.35200
Nakayashiki, Ryota
3
2018
Oscillation tests for differential equations with deviating arguments. Zbl 1483.34091
Chatzarakis, G. E.; Purnaras, I. K.; Stavroulakis, I. P.
2
2018
Abstract approach to degenerate parabolic equations with dynamic boundary conditions. Zbl 1470.35207
Fukao, Takeshi; Motoda, Taisih
2
2018
Boundedness in a chemotaxis model with nonlinear diffusion and logistic type source for tumor invasion. Zbl 1475.35359
Osawa, Ryosuke; Yokota, Tomomi
2
2018
On discrete one-harmonic map flows with values into an embedded manifold on a multi-dimensional domain. Zbl 1470.35019
Taguchi, Kazutoshi
2
2018
On some parabolic systems arising from a nuclear reactor model with nonlinear boundary conditions. Zbl 1470.35204
Kita, Kosuke; Ôtani, Mitsuharu; Sakamoto, Hiroki
2
2018
Strong stability of 2D viscoelastic Poiseuille-type flows. Zbl 1475.35232
Giga, Yoshikazu; Sauer, Jonas; Schade, Katharina
1
2018
Asymptotic analysis of an \(\varepsilon\)-Stokes problem connecting Stokes and pressure-Poisson problems. Zbl 1469.76037
Matsui, Kazunori; Muntean, Adrian
1
2018
Generalized integral type contraction and common fixed point theorems using an auxiliary function. Zbl 07377863
Gupta, Vishal; Mani, Naveen; Ansari, Arslan H.
1
2018
Variational and quasi-variational inequalities of Navier-Stokes type with velocity constraints. Zbl 1470.35211
Gokieli, M.; Kenmochi, N.; Niezgódka, M.
1
2018
Distance between sets – a survey. Zbl 1472.28006
Conci, Aura; Kubrusly, Carlos
9
2017
A direct approach to quasilinear parabolic equations on unbounded domains by Brézis’s theory for subdifferential operators. Zbl 1472.35228
Kurima, Shunsuke; Yokota, Tomomi
6
2017
Measurability of a solution of a free boundary problem describing adsorption phenomenon. Zbl 1472.35465
Kumazaki, K.
3
2017
Upscaling of a system of diffusion-reaction equations coupled with a system of ordinary differential equations originating in the context of crystal dissolution and precipitation of minerals in a porous medium. Zbl 1472.35029
Mahato, Hari Shankar; Kräutle, Serge; Knabner, Peter; Böhm, Michael
3
2017
Initial-boundary value problems for complex Ginzburg-Landau equations in general domains. Zbl 1473.35524
Kuroda, Takanori; Ôtani, Mitsuharu; Shimizu, Shoji
2
2017
Asymptotic behavior for curvature flow with driving force when curvature blowing up. Zbl 1472.35236
Zhang, Longjie
1
2017
Error estimates for elliptic equations with not-exactly periodic coefficients. Zbl 1472.35031
Reichelt, Sina
5
2016
Weak solvability for parabolic variational inclusions and application to quasi-variational problems. Zbl 1483.34084
Kenmochi, Nobuyuki; Niezgódka, Marek
4
2016
Transient thermoelastic problem in a confocal elliptical disc with internal heat sources. Zbl 1487.74024
Bhad, Pravin P.; Khalsa, Lalsingh H.; Varghese, Vinod
2
2016
Mild solutions are weak solutions in a class of (non)linear measure-valued evolution equations on a bounded domain. Zbl 1472.35421
Evers, Joep H. M.
2
2016
Continuous dependence of a solution of a free boundary problem describing adsorption phenomenon for a given data. Zbl 1472.35466
Kumazaki, Kota
2
2016
On \((p,q)\)-equations with concave terms. Zbl 1475.35167
Papageorgiou, Nikolaos S.; Santos, Sandrina R. A.; Staicu, Vasile
1
2016
Incompressible flows through slender oscillating vessels provided with distributed valves. Zbl 1471.76094
Fasano, Antonio; Farina, Angiolo
1
2016
Error control for the fem approximation of an upscaled thermo-diffusion system with Smoluchowski interactions. Zbl 1471.65149
Krehel, Oleh; Muntean, Adrian
1
2016
Existence and uniqueness of local classical solutions to modified tumor invasion models of Chaplain-Anderson type. Zbl 1328.35110
Fujie, Kentarou; Ito, Akio; Yokota, Tomomi
34
2014
Upscaling of the dynamics of dislocation walls. Zbl 1326.74110
van Meurs, Patrick; Muntean, Adrian
14
2014
Metric viscosity solutions for Hamilton-Jacobi equations of evolution type. Zbl 1327.35059
Nakayasu, Atsushi
13
2014
A generalized Neumann solution for the two-phase fractional Lamé-Clapeyron-Stefan problem. Zbl 1327.35413
Roscani, Sabrina D.; Tarzia, Domingo A.
11
2014
On a nonlocal Cahn-Hilliard equation with a reaction term. Zbl 1334.35127
Melchionna, Stefano; Rocca, Elisabetta
11
2014
Numerical solutions for Volterra-Fredholm-Hammerstein integral equations via second kind Chebyshev quadrature collocation algorithm. Zbl 1318.65082
Abd-Elhameed, W. M.; Youssri, Y. H.
10
2014
Fourth-order total variation flow with Dirichlet condition: characterization of evolution and extinction time estimates. Zbl 1327.35146
Giga, Yoshikazu; Kuroda, Hirotoshi; Matsuoka, Hideki
9
2014
Phase-field systems for grain boundary motions under isothermal solidifications. Zbl 1333.35125
Shirakawa, Ken; Watanabe, Hiroshi; Yamazaki, Noriaki
8
2014
Quasi-variational inequalities in economic growth models with technological development. Zbl 1322.91037
Kadoya, Atsushi; Kenmochi, Nobuyuki; Niezgódka, Marek
8
2014
New variational inequality and surjectivity theories for perturbed noncoercive operators and application to nonlinear problems. (New variational inequality and surjectivety theories for perturbed noncoercive operators and application to nonlinear problems.) Zbl 1343.47057
Asfaw, Teffera M.
7
2014
New results for perturbations of locally defined generalized pseudomonotone operators in Banach spaces. Zbl 1318.47065
Asfaw, T. M.; Kartsatos, A. G.
3
2014
Convolution theorem and applications of bicomplex Laplace transform. Zbl 1318.30074
Agarwal, Ritu; Goswami, Mahesh Puri; Agarwal, Ravi P.
2
2014
Free energy inequality in the limit of phase transition. Zbl 1325.35155
Alt, Hans Wilhelm; Witterstein, Gabriele
1
2014
On a penalization method for an evolutionary free boundary problem with volume constraint. Zbl 1338.49026
Mohammad, Rhudaina Z.; Švadlenka, Karel
1
2014
A doubly nonlinear evolution problem related to a model for microwave heating. Zbl 1332.35162
Scarpa, Luca
1
2014
Compressible-incompressible flows with surface tension. Zbl 1330.35299
Witterstein, Gabriele
1
2014
Parabolic variational inequalities with weakly time-dependent constraints. Zbl 1300.34145
Fukao, Takeshi; Kenmochi, Nobuyuki
7
2013
An error estimate of conservative finite difference scheme for the Boussinesq type equations. Zbl 1306.65254
Ichikawa, Kyosuke; Yoshikawa, Shuji
5
2013
Approximation for a new sequence of summation-integral type operators. Zbl 1291.41007
Gupta, Vijay; Agarwal, Ravi P.; Verma, Durvesh Kumar
5
2013
The existence of periodic solutions of some double-diffusive convection system based on Brinkman-Forchheimer equations. Zbl 1292.35020
Ôtani, Mitsuharu; Uchida, Shun
4
2013
Anisotropic total variation flow of non-divergence type on a higher dimensional torus. Zbl 1291.35120
Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert
4
2013
Tumor invasion model with a random motility of tumor cells depending upon extracellular matrix. Zbl 1300.35142
Kano, Risei; Ito, Akio
3
2013
Large solutions in cylindrical domains. Zbl 1304.35032
Bandle, Catherine; Chipot, Michel
3
2013
Results on the existence of solution of \(p\)-Laplacian-like equation. Zbl 1470.35168
Wei, Li; Agarwal, Ravi P.; Wong, Patricia J. Y.
3
2013
Global attractors for non-autonomous phase-field systems of grain boundary motion with constraint. Zbl 1291.35012
Yamazaki, Noriaki
3
2013
Modeling blood flow in fenestrated capillaries and ultrafiltration in kidney glomeruli. Zbl 1301.92018
Fasano, A.; Farina, A.; Mizerski, J.
2
2013
Initial-boundary-value problem for third order equations of Kirchhoff type with variable exponents of nonlinearity. Zbl 1302.35118
Kholyavka, O.; Buhrii, O.; Bokalo, M.; Ayazoglu Mashiyev, R.
2
2013
Lagrange multipliers in variational inequalities for nonlinear operators of monotone type. Zbl 1300.47081
Fukao, Takeshi; Kenmochi, Nobuyuki
2
2013
Mathematical approach to cardiac hypertrophy for spontaneously hypertensive rats. Zbl 1291.34083
Ito, Akio; Yamamoto, Kazuhiko
2
2013
On a global uniform pull-back attractor of a class of PDEs with degenerate diffusion and chemotaxis. Zbl 1302.35062
Efendiev, Messoud; Zhigun, Anna
1
2013
Some remarks on elliptic equations under nonlinear and nonlocal Neumann boundary conditions. Zbl 1305.35074
Morbach, Joelma; Corrẽa, Francisco Julio S. A.
1
2013
An application of the measure of noncompactness to some nonlinear functional integral equations in space \(C [0, a]\). Zbl 1310.45004
Çakan, Ümit; Özdemir, İsmet
1
2013
A global model for impact of elastic shells and its numerical implementation. Zbl 1291.35389
Kazama, Masaki; Omata, Seiro; Nagasawa, Takeyuki; Kikuta, Akira; Svadlenka, Karel
1
2013
Homeomorphisms of exponentially integrable distortion: composition operator. Zbl 1293.30044
Farroni, Fernando; Giova, Raffaella
1
2013
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Cited by 4,086 Authors

57 Winkler, Michael
50 Miranville, Alain M.
47 Colli, Pierluigi
30 Rocca, Elisabetta
29 Giga, Yoshikazu
29 Mu, Chunlai
28 Pata, Vittorino
27 Sprekels, Jürgen
24 Grasselli, Maurizio
24 Schimperna, Giulio
22 Garcke, Harald
22 Gilardi, Gianni
21 Lankeit, Johannes
21 Laurençot, Philippe
21 Stefanelli, Ulisse
19 Sofonea, Mircea
19 Wang, Mingxin
19 Zheng, Sining
18 Akagi, Goro
18 Krejčí, Pavel
18 Qin, Yuming
18 Rossi, Riccarda
17 Conti, Monica C.
17 Ogawa, Takayoshi
17 Suzuki, Takashi
17 Tachim Medjo, Theodore
17 Yang, Zhijian
17 Zhang, Jian
17 Zheng, Jiashan
16 Kubrusly, Carlos S.
16 Shillor, Meir
16 Tan, Zhong
15 Agarwal, Ravi P.
15 Došlá, Zuzana
15 Liu, Zuhan
15 Nečasová, Šárka
15 Yokota, Tomomi
14 Bonetti, Elena
14 Donato, Patrizia
14 Fujie, Kentaro
14 Jiang, Jie
14 Lancia, Maria Rosaria
14 Wu, Hao
13 Attouch, Hedy
13 Farina, Angiolo
13 Fernández, Jose Ramon
13 Fukao, Takeshi
13 Gatti, Stefania
13 Ito, Akio
13 Kubo, Masahiro
13 Shen, Wenxian
13 Shirakawa, Ken
12 Abels, Helmut
12 Aiki, Toyohiko
12 Biler, Piotr
12 Bürger, Raimund
12 Fusi, Lorenzo
12 Lin, Ke
12 Marini, Mauro
12 Marinoschi, Gabriela
12 Muntean, Adrian
12 Perthame, Benoît
12 Rehberg, Joachim
12 Signori, Andrea
12 Świȩch, Andrzej
12 Timoshin, Sergey A.
12 Yamazaki, Noriaki
12 Zhou, Ling
11 Došlý, Ondřej
11 Farina, Alberto
11 Kenmochi, Nobuyuki
11 Kraus, Christiane
11 Kuttler, Kenneth L. jun.
11 Migórski, Stanisław
11 Roidos, Nikolaos
11 Roubíček, Tomáš
11 Senba, Takasi
11 Tani, Atusi
11 Tao, Youshan
11 Wang, Wei
11 Zhao, Jie
11 Zheng, Pan
10 Ambrosio, Luigi
10 Asfaw, Teffera M.
10 Barboteu, Mikaël
10 Calvez, Vincent
10 Díaz Díaz, Jesús Ildefonso
10 Eberl, Hermann J.
10 Efendiev, Messoud
10 Fuest, Mario
10 Giorgi, Claudio
10 Jin, Haiyang
10 Kawashima, Shuichi
10 Lam, Kei Fong
10 Li, Yuxiang
10 Prástaro, Agostino
10 Quintanilla de Latorre, Ramón
10 Wang, Liangchen
9 Bonfanti, Giovanna
9 Carrillo de la Plata, José Antonio
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Cited in 440 Journals

259 Journal of Mathematical Analysis and Applications
259 Journal of Differential Equations
202 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
130 Mathematical Methods in the Applied Sciences
114 Nonlinear Analysis. Real World Applications
73 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
69 ZAMP. Zeitschrift für angewandte Mathematik und Physik
67 Discrete and Continuous Dynamical Systems. Series B
65 Discrete and Continuous Dynamical Systems
62 Archive for Rational Mechanics and Analysis
54 Discrete and Continuous Dynamical Systems. Series S
52 SIAM Journal on Mathematical Analysis
46 Calculus of Variations and Partial Differential Equations
45 Applied Mathematics and Computation
42 Applied Mathematics Letters
39 Journal of Evolution Equations
38 Computers & Mathematics with Applications
37 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
37 Communications on Pure and Applied Analysis
36 Journal de Mathématiques Pures et Appliquées. Neuvième Série
36 Boundary Value Problems
35 Journal of Functional Analysis
34 Journal of Computational and Applied Mathematics
33 Applicable Analysis
33 Nonlinearity
33 Applications of Mathematics
33 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
32 Acta Applicandae Mathematicae
31 NoDEA. Nonlinear Differential Equations and Applications
30 Applied Mathematics and Optimization
30 Physica D
28 Transactions of the American Mathematical Society
27 Mathematical and Computer Modelling
26 Nonlinear Analysis. Theory, Methods & Applications
25 Journal of Mathematical Physics
25 Evolution Equations and Control Theory
24 Annali di Matematica Pura ed Applicata. Serie Quarta
24 Journal of Mathematical Fluid Mechanics
23 Mathematische Annalen
23 Journal of Mathematical Sciences (New York)
22 Journal of Computational Physics
22 Mathematische Nachrichten
21 Quarterly of Applied Mathematics
21 Zeitschrift für Analysis und ihre Anwendungen
20 Computer Methods in Applied Mechanics and Engineering
18 Numerical Methods for Partial Differential Equations
18 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Journal of Dynamics and Differential Equations
16 Japan Journal of Industrial and Applied Mathematics
16 Journal of Elasticity
15 Communications in Mathematical Physics
15 Journal of Inequalities and Applications
15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Journal of Mathematical Biology
13 Mathematics and Computers in Simulation
13 Applied Numerical Mathematics
13 Communications in Nonlinear Science and Numerical Simulation
13 Journal of Elliptic and Parabolic Equations
12 Czechoslovak Mathematical Journal
12 Journal of Optimization Theory and Applications
12 Numerische Mathematik
12 Proceedings of the American Mathematical Society
12 Asymptotic Analysis
12 Journal of Scientific Computing
12 European Journal of Applied Mathematics
12 Potential Analysis
12 Abstract and Applied Analysis
12 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
12 Mediterranean Journal of Mathematics
12 Mathematics in Engineering
11 Rocky Mountain Journal of Mathematics
11 Communications in Partial Differential Equations
11 Acta Mathematica Sinica. English Series
11 Milan Journal of Mathematics
11 Advances in Nonlinear Analysis
10 International Journal of Engineering Science
10 Chaos, Solitons and Fractals
10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
10 Advances in Difference Equations
10 Networks and Heterogeneous Media
10 Science China. Mathematics
10 AIMS Mathematics
9 Communications on Pure and Applied Mathematics
9 Monatshefte für Mathematik
9 Rendiconti del Circolo Matemàtico di Palermo. Serie II
9 SIAM Journal on Control and Optimization
9 Studies in Applied Mathematics
9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
9 The Journal of Geometric Analysis
9 Applied Mathematical Modelling
9 Journal of Nonlinear Science
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Journal of Convex Analysis
9 Interfaces and Free Boundaries
9 Communications in Contemporary Mathematics
9 Acta Mathematica Scientia. Series B. (English Edition)
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
8 Indiana University Mathematics Journal
8 Journal of the Mathematical Society of Japan
8 Chinese Annals of Mathematics. Series B
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Cited in 55 Fields

3,118 Partial differential equations (35-XX)
734 Biology and other natural sciences (92-XX)
565 Mechanics of deformable solids (74-XX)
557 Fluid mechanics (76-XX)
404 Calculus of variations and optimal control; optimization (49-XX)
341 Numerical analysis (65-XX)
310 Operator theory (47-XX)
272 Ordinary differential equations (34-XX)
184 Classical thermodynamics, heat transfer (80-XX)
161 Dynamical systems and ergodic theory (37-XX)
159 Statistical mechanics, structure of matter (82-XX)
112 Integral equations (45-XX)
95 Systems theory; control (93-XX)
83 Functional analysis (46-XX)
74 Optics, electromagnetic theory (78-XX)
73 Probability theory and stochastic processes (60-XX)
72 Global analysis, analysis on manifolds (58-XX)
65 Differential geometry (53-XX)
50 Operations research, mathematical programming (90-XX)
47 Measure and integration (28-XX)
44 Geophysics (86-XX)
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24 Mechanics of particles and systems (70-XX)
24 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Harmonic analysis on Euclidean spaces (42-XX)
20 Difference and functional equations (39-XX)
17 Quantum theory (81-XX)
15 Computer science (68-XX)
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14 Information and communication theory, circuits (94-XX)
11 Approximations and expansions (41-XX)
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7 Convex and discrete geometry (52-XX)
5 History and biography (01-XX)
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4 General and overarching topics; collections (00-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Geometry (51-XX)
3 Number theory (11-XX)
3 Algebraic geometry (14-XX)
3 Relativity and gravitational theory (83-XX)
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