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Mathematical Control and Related Fields

Short Title: Math. Control Relat. Fields
Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO
ISSN: 2156-8472; 2156-8499/e
Online: https://www.aimsciences.org/mcrf
Comments: Journal; Indexed cover-to-cover; Published electronic only as of 3 (2013). Print ISSN until then: 2156-8472
Documents Indexed: 455 Publications (since 2011)
References Indexed: 389 Publications with 11,772 References.
all top 5

Authors

10 Yong, Jiongmin
6 Casas, Eduardo
6 Lou, Hongwei
6 Maniar, Lahcen
6 Wu, Zhen
5 Grüne, Lars
5 Kunisch, Karl
5 Lü, Qi
5 Rösch, Arnd
5 Trélat, Emmanuel
5 Tröltzsch, Fredi
5 Yin, George Gang
5 Zhang, Qing
5 Zhang, Xu
5 Zuazua, Enrique
4 Antil, Harbir
4 Bonnard, Bernard
4 Chen, Zengjing
4 Cristofol, Michel
4 Hu, Ying
4 Huang, Jianhui
4 Prieur, Christophe
4 Tucsnak, Marius
4 Vexler, Boris
4 Wang, Gengsheng
4 Wehbe, Ali
4 Xiong, Jie
4 Zhang, Jian
3 Alabau-Boussouira, Fatiha
3 Alia, Ishak
3 Ammar-Khodja, Farid
3 Boyer, Franck
3 Cannarsa, Piermarco
3 Chyba, Monique
3 Clason, Christian
3 de Teresa, Luz
3 Fardigola, Larissa V.
3 Feng, Baowei
3 Fernández-Cara, Enrique
3 Guiver, Chris
3 Hinze, Michael
3 Kian, Yavar
3 Kogut, Peter I.
3 Leugering, Günter
3 Liu, Jingzhen
3 Ma, Jin
3 Mateos, Mariano
3 Morancey, Morgan
3 Münch, Arnaud
3 Nicaise, Serge
3 Piccoli, Benedetto
3 Shi, Jingtao
3 Soufyane, Abdelaziz
3 Sugny, Dominique
3 Takahashi, Takéo
3 Tie, Jingzhi
3 Valein, Julie
3 Wachsmuth, Daniel
3 Wang, Lijuan
3 Xu, Zuoquan
3 Yamamoto, Masahiro
3 Yi, Fahuai
3 Yu, Huaiqiang
3 Zhang, Bingyu
3 Zhang, Xin
3 Zhou, Xunyu
2 Afilal, Mounir
2 Akil, Mohammad
2 Alvarez-Vázquez, Lino Jose
2 Bellassoued, Mourad
2 Benabdallah, Assia
2 Betz, Livia M.
2 Biccari, Umberto
2 Botkin, Nikolai D.
2 Boulakia, Muriel
2 Bourdin, Loïc
2 Breiten, Tobias
2 Caillau, Jean-Baptiste
2 Cerpa, Eduardo
2 Chatterjee, Debasish
2 Chen, Shuping
2 Cheng, Gongpin
2 Christof, Constantin
2 Colli, Pierluigi
2 Cots, Olivier
2 Duprez, Michel
2 Ervedoza, Sylvain
2 Frankowska, Hélène
2 Gerster, Stephan
2 Ghosh, Mrinal Kanti
2 Gilardi, Gianni
2 Guan, Chonghu
2 Gugat, Martin
2 Guglielmi, Roberto
2 Hafemeyer, Dominik
2 Hao, Jianghao
2 Hata, Hiroaki
2 Hegoburu, Nicolas
2 Herberg, Evelyn
2 Hernández-Santamaría, Víctor
...and 638 more Authors
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Fields

273 Systems theory; control (93-XX)
227 Partial differential equations (35-XX)
176 Calculus of variations and optimal control; optimization (49-XX)
76 Probability theory and stochastic processes (60-XX)
57 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
43 Numerical analysis (65-XX)
40 Ordinary differential equations (34-XX)
20 Mechanics of deformable solids (74-XX)
19 Operator theory (47-XX)
18 Operations research, mathematical programming (90-XX)
18 Biology and other natural sciences (92-XX)
17 Fluid mechanics (76-XX)
16 Dynamical systems and ergodic theory (37-XX)
10 Real functions (26-XX)
8 Differential geometry (53-XX)
8 Quantum theory (81-XX)
7 General and overarching topics; collections (00-XX)
7 Global analysis, analysis on manifolds (58-XX)
7 Mechanics of particles and systems (70-XX)
6 Integral equations (45-XX)
4 Computer science (68-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Algebraic geometry (14-XX)
3 Topological groups, Lie groups (22-XX)
3 Functional analysis (46-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 Statistics (62-XX)
2 Optics, electromagnetic theory (78-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Convex and discrete geometry (52-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH Open

334 Publications have been cited 2,383 times in 1,956 Documents Cited by Year
Recent results on the controllability of linear coupled parabolic problems: a survey. Zbl 1235.93041
Ammar-Khodja, Farid; Benabdallah, Assia; González-Burgos, Manuel; De Teresa, Luz
96
2011
Time-inconsistent optimal control problems and the equilibrium HJB equation. Zbl 1251.93144
Yong, Jiongmin
85
2012
Inverse source problem with a final overdetermination for a fractional diffusion equation. Zbl 1241.35220
Sakamoto, Kenichi; Yamamoto, Masahiro
69
2011
Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel
51
2013
Control of a Korteweg-de Vries equation: a tutorial. Zbl 1281.93018
Cerpa, Eduardo
48
2014
A linear-quadratic optimal control problem for mean-field stochastic differential equations in infinite horizon. Zbl 1326.49051
Huang, Jianhui; Li, Xun; Yong, Jiongmin
46
2015
Optimal control of a non-smooth semilinear elliptic equation. Zbl 1407.49026
Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian
44
2018
Strict Lyapunov functions for semilinear parabolic partial differential equations. Zbl 1231.93097
Mazenc, Frédéric; Prieur, Christophe
43
2011
Determination of time dependent factors of coefficients in fractional diffusion equations. Zbl 1348.35317
Fujishiro, Kenichi; Kian, Yavar
41
2016
Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions. Zbl 1370.37157
Mironchenko, Andrii; Ito, Hiroshi
33
2016
A deterministic linear quadratic time-inconsistent optimal control problem. Zbl 1222.49043
Yong, Jiongmin
30
2011
Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods. Zbl 1264.35260
Fernández-Cara, Enrique; Münch, Arnaud
30
2012
The cost of controlling weakly degenerate parabolic equations by boundary controls. Zbl 1360.35104
Cannarsa, Piermarco; Martinez, Patrick; Vancostenoble, Judith
29
2017
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
29
2015
Exact controllability of scalar conservation laws with strict convex flux. Zbl 1310.35232
Adimurthi; Ghoshal, Shyam Sundar; Gowda, G. D. Veerappa
26
2014
Internal control of the Schrödinger equation. Zbl 1281.93022
Laurent, Camille
23
2014
Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence. Zbl 1423.35388
Antil, Harbir; Warma, Mahamadi
22
2019
Optimal sampled-data control, and generalizations on time scales. Zbl 1335.49031
Bourdin, Loïc; Trélat, Emmanuel
21
2016
Quantitative approximation properties for the fractional heat equation. Zbl 1442.35550
Rüland, Angkana; Salo, Mikko
21
2020
Error estimates for Dirichlet control problems in polygonal domains: quasi-uniform meshes. Zbl 1407.65277
Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
21
2018
Optimal control problems of forward-backward stochastic Volterra integral equations. Zbl 1337.49044
Shi, Yufeng; Wang, Tianxiao; Yong, Jiongmin
21
2015
Approximate controllability conditions for some linear 1D parabolic systems with space-dependent coefficients. Zbl 1303.93036
Boyer, Franck; Olive, Guillaume
20
2014
Energy decay estimates for some weakly coupled Euler-Bernoulli and wave equations with indirect damping mechanisms. Zbl 1246.93093
Tebou, Louis
20
2012
Second order optimality conditions for optimal control of quasilinear parabolic equations. Zbl 1405.35095
Bonifacius, Lucas; Neitzel, Ira
20
2018
Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
18
2021
Controllability under positivity constraints of semilinear heat equations. Zbl 1416.35142
Pighin, Dario; Zuazua, Enrique
18
2018
Exact controllability of linear stochastic differential equations and related problems. Zbl 1360.93109
Wang, Yanqing; Yang, Donghui; Yong, Jiongmin; Yu, Zhiyong
18
2017
Control of a network of magnetic ellipsoidal samples. Zbl 1231.93013
Agarwal, Shruti; Carbou, Gilles; Labbé, Stéphane; Prieur, Christophe
17
2011
Stability of the determination of a time-dependent coefficient in parabolic equations. Zbl 1259.35221
Choulli, Mourad; Kian, Yavar
17
2013
Observability of heat processes by transmutation without geometric restrictions. Zbl 1244.35028
Ervedoza, Sylvain; Zuazua, Enrique
16
2011
Analysis and optimal control of some quasilinear parabolic equations. Zbl 1416.35145
Casas, Eduardo; Chrysafinos, Konstantinos
16
2018
Local controllability of 1D Schrödinger equations with bilinear control and minimal time. Zbl 1281.93016
Beauchard, Karine; Morancey, Morgan
16
2014
Global well-posedness and asymptotic behavior of a class of initial-boundary-value problem of the Korteweg-de Vries equation on a finite domain. Zbl 1219.35251
Rivas, Ivonne; Usman, Muhammad; Zhang, Bing-Yu
15
2011
Ricci curvatures in Carnot groups. Zbl 1275.53034
Rifford, Ludovic
15
2013
Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations. Zbl 1407.49031
Pörner, Frank; Wachsmuth, Daniel
15
2018
Regularity results for a time-optimal control problem in the space of probability measures. Zbl 1365.49024
Cavagnari, Giulia
15
2017
Transposition method for backward stochastic evolution equations revisited, and its application. Zbl 1316.93126
Lü, Qi; Zhang, Xu
15
2015
Global controllability and stabilizability of Kawahara equation on a periodic domain. Zbl 1322.93022
Zhao, Xiangqing; Zhang, Bing-Yu
15
2015
Finite-time stabilization of a network of strings. Zbl 1332.93297
Alabau-Boussouira, Fatiha; Perrollaz, Vincent; Rosier, Lionel
14
2015
Indirect stabilization of weakly coupled systems with hybrid boundary conditions. Zbl 1241.93038
Alabau-Boussouira, Fatiha; Cannarsa, Piermarco; Guglielmi, Roberto
14
2011
Local controllability of the \(N\)-dimensional Boussinesq system with \(N - 1\) scalar controls in an arbitrary control domain. Zbl 1259.35214
Carreño, Nicolás
14
2012
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Zbl 1453.35032
Signori, Andrea
14
2020
Well-posedness and asymptotic stability for the Lamé system with infinite memories in a bounded domain. Zbl 1308.35003
Bchatnia, Ahmed; Guesmia, Aissa
13
2014
Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction. Zbl 1368.76010
Gugat, Martin; Dick, Markus
13
2011
Linear quadratic mean-field-game of backward stochastic differential systems. Zbl 1416.93198
Du, Kai; Huang, Jianhui; Wu, Zhen
13
2018
Weak stability of a laminated beam. Zbl 1421.35023
Li, Yanfang; Liu, Zhuangyi; Wang, Yang
13
2018
Carleman commutator approach in logarithmic convexity for parabolic equations. Zbl 1416.35132
Phung, Kim Dang
13
2018
Numerical discretization of stabilization problems with boundary controls for systems of hyperbolic conservation laws. Zbl 1262.65068
Banda, Mapundi K.; Herty, Michael
13
2013
Extended backward stochastic Volterra integral equations and their applications to time-inconsistent stochastic recursive control problems. Zbl 1478.93732
Hamaguchi, Yushi
13
2021
Determining the waveguide conductivity in a hyperbolic equation from a single measurement on the lateral boundary. Zbl 1348.35314
Cristofol, Michel; Li, Shumin; Soccorsi, Eric
12
2016
Stabilization of multidimensional wave equation with locally boundary fractional dissipation law under geometric conditions. Zbl 1426.35025
Akil, Mohammad; Wehbe, Ali
12
2019
Asymptotic stability of Webster-Lokshin equation. Zbl 1308.35032
Matignon, Denis; Prieur, Christophe
12
2014
Internal stabilization of a Mindlin-Timoshenko model by interior feedbacks. Zbl 1234.35271
Nicaise, Serge
12
2011
Uncertainty damping in kinetic traffic models by driver-assist controls. Zbl 1473.35392
Tosin, Andrea; Zanella, Mattia
12
2021
Controllability of fractional dynamical systems: a functional analytic approach. Zbl 1373.93064
Govindaraj, Venkatesan; George, Raju K.
12
2017
Stability and output feedback control for singular Markovian jump delayed systems. Zbl 1406.93365
Chen, Jian; Zhang, Tao; Zhang, Ziye; Lin, Chong; Chen, Bing
12
2018
Finite element approximation of sparse parabolic control problems. Zbl 1369.49006
Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
12
2017
Neumann boundary feedback stabilization for a nonlinear wave equation: A strict \(H^2\)-Lyapunov function. Zbl 1366.76079
Gugat, Martin; Leugering, Günter; Wang, Ke
12
2017
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto
11
2021
Optimal control for a phase field system with a possibly singular potential. Zbl 1335.49008
Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
11
2016
Counting function for interior transmission eigenvalues. Zbl 1332.35242
Robbiano, Luc
11
2016
Characterizations of equilibrium controls in time inconsistent mean-field stochastic linear quadratic problems. I. Zbl 1426.49036
Wang, Tianxiao
11
2019
Multivariable boundary PI control and regulation of a fluid flow system. Zbl 1303.93095
Xu, Cheng-Zhong; Sallet, Gauthier
11
2014
Optimal control problem for exact synchronization of parabolic system. Zbl 1427.93042
Wang, Lijuan; Yan, Qishu
11
2019
Optimal \(L^2\)-control problem in coefficients for a linear elliptic equation. I: Existence result. Zbl 1326.49005
Horsin, Thierry; Kogut, Peter I.
11
2015
Decompositions and bang-bang properties. Zbl 1352.93020
Wang, Gengsheng; Zhang, Yubiao
11
2017
An infinite time horizon portfolio optimization model with delays. Zbl 1348.91259
Pang, Tao; Hussain, Azmat
10
2016
Relative controllability of linear systems of fractional order with delay. Zbl 1332.93061
Mur, Therese; Henriquez, Hernan R.
10
2015
Approximate controllability of semilinear reaction diffusion equations. Zbl 1250.93032
Leiva, Hugo; Merentes, Nelson; Sánchez, José L.
10
2012
Operator-valued backward stochastic Lyapunov equations in infinite dimensions, and its application. Zbl 1405.93233
Lü, Qi; Zhang, Xu
10
2018
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries. Zbl 1448.93023
Allonsius, Damien; Boyer, Franck
10
2020
Time-inconsistent optimal control problem with random coefficients and stochastic equilibrium HJB equation. Zbl 1316.93127
Wang, Haiyang; Wu, Zhen
10
2015
Controllability to trajectories for some parabolic systems of three and two equations by one control force. Zbl 1281.93017
Benabdallah, Assia; Cristofol, Michel; Gaitan, Patricia; De Teresa, Luz
10
2014
Partial null controllability of parabolic linear systems. Zbl 1347.93053
Khodja, Farid Ammar; Chouly, Franz; Duprez, Michel
9
2016
Local feedback stabilisation to a non-stationary solution for a damped non-linear wave equation. Zbl 1331.35235
Ammari, Kaïs; Duyckaerts, Thomas; Shirikyan, Armen
9
2016
Learning nonlocal regularization operators. Zbl 1485.49010
Holler, Gernot; Kunisch, Karl
9
2022
Time optimal control problems for some non-smooth systems. Zbl 1307.49018
Lou, Hongwei; Wen, Junjie; Xu, Yashan
9
2014
Controllability of the cubic Schroedinger equation via a low-dimensional source term. (Controllability of the cubic Schrödinger equation via a low-dimensional source term.) Zbl 1251.93037
Sarychev, Andrey
9
2012
Quadratic BSDEs with mean reflection. Zbl 1419.60043
Hibon, Hélène; Hu, Ying; Lin, Yiqing; Luo, Peng; Wang, Falei
9
2018
Stability estimates for a Robin coefficient in the two-dimensional Stokes system. Zbl 1302.35311
Boulakia, Muriel; Egloffe, Anne-Claire; Grandmont, Céline
9
2013
Compact perturbations of controlled systems. Zbl 1405.93037
Duprez, Michel; Olive, Guillaume
9
2018
Insensitizing controls for a semilinear parabolic equation: a numerical approach. Zbl 1423.35144
Boyer, Franck; Hernández-Santamaría, Víctor; De Teresa, Luz
9
2019
Control and stabilization of \(2\times 2\) hyperbolic systems on graphs. Zbl 1357.35212
Nicaise, Serge
9
2017
A semidiscrete Galerkin scheme for backward stochastic parabolic differential equations. Zbl 1349.65493
Wang, Yanqing
8
2016
An optimal consumption-investment model with constraint on consumption. Zbl 1414.91355
Xu, Zuo Quan; Yi, Fahuai
8
2016
Exact controllability of a multilayer Rao-Nakra plate with free boundary conditions. Zbl 1231.93015
Hansen, Scott W.; Imanuvilov, Oleg Yu
8
2011
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
8
2020
Optimal control of a non-smooth quasilinear elliptic equation. Zbl 1472.49044
Clason, Christian; Nhu, Vu Huu; Rösch, Arnd
8
2021
General boundary value problems of the Korteweg-de Vries equation on a bounded domain. Zbl 1420.35307
Capistrano-Filho, Roberto A.; Sun, Shuming; Zhang, Bing-Yu
8
2018
A non-exponential discounting time-inconsistent stochastic optimal control problem for jump-diffusion. Zbl 1429.93413
Alia, Ishak
8
2019
A stochastic control problem and related free boundaries in finance. Zbl 1373.35343
Guan, Chonghu; Li, Xun; Xu, Zuo Quan; Yi, Fahuai
8
2017
Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Zbl 1407.65203
Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander
8
2018
Application of the boundary control method to partial data Borg-Levinson inverse spectral problem. Zbl 1423.35450
Kian, Yavar; Morancey, Morgan; Oksanen, Lauri
7
2019
Maximum principle for discrete-time stochastic optimal control problem and stochastic game. Zbl 1485.93641
Wu, Zhen; Zhang, Feng
7
2022
Approximation of controls for linear wave equations: a first order mixed formulation. Zbl 1443.93034
Montaner, Santiago; Münch, Arnaud
7
2019
Necessary conditions for infinite horizon optimal control problems with state constraints. Zbl 1422.49022
Basco, Vincenzo; Cannarsa, Piermarco; Frankowska, Hélène
7
2018
Controllability for a string with attached masses and Riesz bases for asymmetric spaces. Zbl 1429.93035
Avdonin, Sergei; Edward, Julian
7
2019
Time-inconsistent optimal control problems with regime-switching. Zbl 1373.93385
Wei, Jiaqin
7
2017
On the influence of the coupling on the dynamics of single-observed cascade systems of PDE’s. Zbl 1322.93023
Alabau-Boussouira, Fatiha
7
2015
Inverse problems for the fourth order Schrödinger equation on a finite domain. Zbl 1328.35327
Zheng, Chuang
7
2015
Stabilization results for delayed fifth-order KdV-type equation in a bounded domain. Zbl 07831679
Capistrano-Filho, Roberto de A.; Gonzalez Martinez, Victor Hugo
1
2024
Energy decay of some boundary coupled systems involving wave Euler-Bernoulli beam with one locally singular fractional Kelvin-Voigt damping. Zbl 1517.35034
Akil, Mohammad; Issa, Ibtissam; Wehbe, Ali
5
2023
Optimal control problems of parabolic fractional Sturm-Liouville equations in a star graph. Zbl 1518.35633
Leugering, Günter; Mophou, Gisèle; Moutamal, Maryse; Warma, Mahamadi
4
2023
Piezoelectric beams with magnetic effect and localized damping. Zbl 1512.35563
Afilal, Mounir; Soufyane, Abdelaziz; De Lima, Santos Mauro
3
2023
Local controllability of the bilinear 1D Schrödinger equation with simultaneous estimates. Zbl 1518.93016
Bournissou, Mégane
3
2023
Uniqueness for inverse problem of determining fractional orders for time-fractional advection-diffusion equations. Zbl 1517.35268
Yamamoto, Masahiro
3
2023
Observability and null-controllability for parabolic equations in \(L_p\)-spaces. Zbl 07740187
Bombach, Clemens; Gallaun, Dennis; Seifert, Christian; Tautenhahn, Martin
3
2023
Constructive exact control of semilinear 1D heat equations. Zbl 1517.35126
Lemoine, Jérôme; Münch, Arnaud
2
2023
Theoretical and computational decay results for a memory type wave equation with variable-exponent nonlinearity. Zbl 1518.93055
Al-Mahdi, Adel M.; Al-Gharabli, Mohammad M.; Zahri, Mostafa
2
2023
A general maximum principle for partially observed mean-field stochastic system with random jumps in progressive structure. Zbl 1518.93153
Chen, Tian; Wu, Zhen
2
2023
Input-to-state stability of non-autonomous infinite-dimensional control systems. Zbl 1521.37091
Damak, Hanen
2
2023
Deep learning approximation of diffeomorphisms via linear-control systems. Zbl 1516.49032
Scagliotti, Alessandro
2
2023
Accessibility properties of abnormal geodesics in optimal control illustrated by two case studies. Zbl 1525.92084
Bonnard, Bernard; Rouot, Jérémy; Wembe, Boris
2
2023
Exponential and polynomial stabilization of laminated beams with two history memories. Zbl 1522.35077
Méndez, Teófanes Quispe; Cabanillas, Victor R.; Feng, Baowei
2
2023
Linear-quadratic-Gaussian mean-field controls of social optima. Zbl 1518.93158
Qiu, Zhenghong; Huang, Jianhui; Xie, Tinghan
1
2023
Continuity with respect to the speed for optimal ship forms based on Michell’s formula. Zbl 1516.49040
Dambrine, Julien; Pierre, Morgan
1
2023
Null controllability of a nonlinear age, space and two-sex structured population dynamics model. Zbl 1518.92134
Simporé, Yacouba; Traoré, Oumar
1
2023
Stability and asymptotic properties of dissipative evolution equations coupled with ordinary differential equations. Zbl 1517.35031
Nicaise, Serge
1
2023
A geometric approach of gradient descent algorithms in linear neural networks. Zbl 1524.68312
Chitour, Yacine; Liao, Zhenyu; Couillet, Romain
1
2023
Impulse null approximate controllability for heat equation with dynamic boundary conditions. Zbl 1517.35253
Chorfi, Salah-Eddine; El Guermai, Ghita; Maniar, Lahcen; Zouhair, Walid
1
2023
A differential game control problem with state constraints. Zbl 1516.49025
Gammoudi, Nidhal; Zidani, Hasnaa
1
2023
Averaged turnpike property for differential equations with random constant coefficients. Zbl 1529.60040
Hernández, Martín; Lecaros, Rodrigo; Zamorano, Sebastián
1
2023
Approximation of linear controlled dynamical systems with small random noise and fast periodic sampling. Zbl 1516.49031
Dhama, Shivam; Pahlajani, Chetan D.
1
2023
Second-order problems involving time-dependent subdifferential operators and application to control. Zbl 1512.34040
Saïdi, Soumia; Fennour, Fatima
1
2023
Feedback law to stabilize linear infinite-dimensional systems. Zbl 1518.93108
Ma, Yaxing; Wang, Gengsheng; Yu, Huaiqiang
1
2023
Strong stationarity for a highly nonsmooth optimization problem with control constraints. Zbl 1522.49023
Betz, Livia
1
2023
Causal state feedback representation for linear quadratic optimal control problems of singular Volterra integral equations. Zbl 1525.45001
Han, Shuo; Lin, Ping; Yong, Jiongmin
1
2023
Learning nonlocal regularization operators. Zbl 1485.49010
Holler, Gernot; Kunisch, Karl
9
2022
Maximum principle for discrete-time stochastic optimal control problem and stochastic game. Zbl 1485.93641
Wu, Zhen; Zhang, Feng
7
2022
Internal rapid stabilization of a 1-D linear transport equation with a scalar feedback. Zbl 1491.35388
Zhang, Christophe
6
2022
Optimal control of the transmission rate in compartmental epidemics. Zbl 1486.92224
Freddi, Lorenzo
6
2022
Linear-quadratic mean-field type Stackelberg differential games for stochastic jump-diffusion systems. Zbl 1484.91095
Moon, Jun
6
2022
Existence and cost of boundary controls for a degenerate/singular parabolic equation. Zbl 1486.35276
Biccari, U.; Hernández-Santamaría, V.; Vancostenoble, J.
6
2022
A nonlinear version of Halanay’s inequality for the uniform convergence to the origin. Zbl 1498.93328
Pepe, Pierdomenico
4
2022
On the asymptotic stability of the Korteweg-de Vries equation with time-delayed internal feedback. Zbl 1498.93603
Valein, Julie
4
2022
A concise introduction to control theory for stochastic partial differential equations. Zbl 1508.93332
Lü, Qi; Zhang, Xu
4
2022
Asymptotic gain results for attractors of semilinear systems. Zbl 1505.37089
Schmid, Jochen; Kapustyan, Oleksiy; Dashkovskiy, Sergey
3
2022
Model reduction for fractional elliptic problems using Kato’s formula. Zbl 1486.35421
Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil
3
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A Gronwall lemma for functions of two variables and its application to partial differential equations of fractional order. Zbl 1521.26015
Idczak, Dariusz
3
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On the nonuniqueness and instability of solutions of tracking-type optimal control problems. Zbl 1485.49013
Christof, Constantin; Hafemeyer, Dominik
3
2022
A linear quadratic stochastic Stackelberg differential game with time delay. Zbl 1498.91038
Meng, Weijun; Shi, Jingtao
3
2022
Stochastic optimal control – a concise introduction. Zbl 1508.93334
Yong, Jiongmin
3
2022
Computation of open-loop inputs for uniformly ensemble controllable systems. Zbl 1498.93053
Schönlein, Michael
2
2022
Convergence of coprime factor perturbations for robust stabilization of Oseen systems. Zbl 1498.93619
Heiland, Jan
1
2022
Noise and stability in reaction-diffusion equations. Zbl 1486.35486
Lv, Guangying; Wei, Jinlong; Zou, Guang-an
1
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Stability analysis of infinite-dimensional event-triggered and self-triggered control systems with Lipschitz perturbations. Zbl 1485.93459
Wakaiki, Masashi; Sano, Hideki
1
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Solvable approximations of 3-dimensional almost-Riemannian structures. Zbl 1490.53042
Jouan, Philippe; Manríquez, Ronald
1
2022
Controllability under positive constraints for quasilinear parabolic PDEs. Zbl 1492.93085
Nuñez-Chávez, Miguel R.
1
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A nonzero-sum risk-sensitive stochastic differential game in the orthant. Zbl 1484.91032
Ghosh, Mrinal K.; Pradhan, Somnath
1
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Optimal investment and reinsurance of insurers with lognormal stochastic factor model. Zbl 1486.91074
Hata, Hiroaki; Sun, Li-Hsien
1
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Control of reaction-diffusion models in biology and social sciences. Zbl 1504.93180
Ruiz-Balet, Domènec; Zuazua, Enrique
1
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Fractional optimal control problems on a star graph: optimality system and numerical solution. Zbl 1460.34017
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
18
2021
Extended backward stochastic Volterra integral equations and their applications to time-inconsistent stochastic recursive control problems. Zbl 1478.93732
Hamaguchi, Yushi
13
2021
Uncertainty damping in kinetic traffic models by driver-assist controls. Zbl 1473.35392
Tosin, Andrea; Zanella, Mattia
12
2021
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems. Zbl 1462.49058
Grüne, Lars; Guglielmi, Roberto
11
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Optimal control of a non-smooth quasilinear elliptic equation. Zbl 1472.49044
Clason, Christian; Nhu, Vu Huu; Rösch, Arnd
8
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Linear-quadratic-Gaussian mean-field-game with partial observation and common noise. Zbl 1471.91026
Bensoussan, Alain; Feng, Xinwei; Huang, Jianhui
6
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Approximate controllability of nonlinear parabolic PDEs in arbitrary space dimension. Zbl 1477.35097
Nersesyan, Vahagn
6
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Strict dissipativity for discrete time discounted optimal control problems. Zbl 1481.49009
Grüne, Lars; Müller, Matthias A.; Kellett, Christopher M.; Weller, Steven R.
5
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Optimal design problems governed by the nonlocal \(p\)-Laplacian equation. Zbl 1462.49040
Andrés, Fuensanta; Muñoz, Julio; Rosado, Jesús
3
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Controllability problems for the heat equation on a half-axis with a bounded control in the Neumann boundary condition. Zbl 1470.93024
Fardigola, Larissa; Khalina, Kateryna
3
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Optimal control of elliptic variational inequalities with bounded and unbounded operators. Zbl 1473.35281
Betz, Livia; Yousept, Irwin
3
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A stability result for the diffusion coefficient of the heat operator defined on an unbounded guide. Zbl 1481.35397
Cardoulis, Laure; Cristofol, Michel; Morancey, Morgan
3
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Mean-field stochastic linear-quadratic optimal control problems: weak closed-loop solvability. Zbl 1461.93553
Sun, Jingrui; Wang, Hanxiao
2
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Finite-dimensional controllers for robust regulation of boundary control systems. Zbl 1461.93397
Phan, Duy; Paunonen, Lassi
2
2021
Error-based control systems on Riemannian state manifolds: properties of the principal pushforward map associated to parallel transport. Zbl 1461.93203
Fiori, Simone
2
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Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. Zbl 1471.93084
Grüne, Lars; Mechelli, Luca; Pirkelmann, Simon; Volkwein, Stefan
2
2021
A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system. Zbl 1472.49058
Holtmannspötter, Marita; Rösch, Arnd; Vexler, Boris
2
2021
External polyhedral estimates of reachable sets of discrete-time systems with integral bounds on additive terms. Zbl 1471.93027
Kostousova, Elena K.
2
2021
First order necessary conditions of optimality for the two dimensional tidal dynamics system. Zbl 1481.49007
Mohan, Manil T.
2
2021
Stability of N-D transmission problem in viscoelasticity with localized Kelvin-Voigt damping under different types of geometric conditions. Zbl 1481.35041
Wehbe, Ali; Nasser, Rayan; Noun, Nahla
2
2021
General stability of abstract thermoelastic system with infinite memory and delay. Zbl 1477.35026
Hao, Jianghao; Zhang, Junna
2
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Optimal dividend policy in an insurance company with contagious arrivals of claims. Zbl 1479.91314
Chen, Yiling; Bian, Baojun
1
2021
Tracking aircraft trajectories in the presence of wind disturbances. Zbl 1473.49042
Botkin, Nikolai; Turova, Varvara; Hosseini, Barzin; Diepolder, Johannes; Holzapfel, Florian
1
2021
Optimal control of ODEs with state suprema. Zbl 1472.49048
Geiger, Tobias; Wachsmuth, Daniel; Wachsmuth, Gerd
1
2021
Approximate controllability of a Sobolev type impulsive functional evolution system in Banach spaces. Zbl 1478.93044
Arora, Sumit; Mohan, Manil T.; Dabas, Jaydev
1
2021
Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. Zbl 1483.35297
Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki
1
2021
Improved error estimates for optimal control of the Stokes problem with pointwise tracking in three dimensions. Zbl 1473.49033
Behringer, Niklas
1
2021
On switching properties of time optimal controls for linear ODEs. Zbl 1478.93269
Qin, Shulin; Wang, Gengsheng; Yu, Huaiqiang
1
2021
Local contact sub-Finslerian geometry for maximum norms in dimension 3. Zbl 1480.53023
Ali, Entisar A.-L.; Charlot, G.
1
2021
Stable determination of a vector field in a non-self-adjoint dynamical Schrödinger equation on Riemannian manifolds. Zbl 1477.35310
Bellassoued, Mourad; Ben Aïcha, Ibtissem; Rezig, Zouhour
1
2021
Quantitative approximation properties for the fractional heat equation. Zbl 1442.35550
Rüland, Angkana; Salo, Mikko
21
2020
Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme. Zbl 1453.35032
Signori, Andrea
14
2020
Boundary null-controllability of semi-discrete coupled parabolic systems in some multi-dimensional geometries. Zbl 1448.93023
Allonsius, Damien; Boyer, Franck
10
2020
A moment approach for entropy solutions to nonlinear hyperbolic PDEs. Zbl 1437.35473
Marx, Swann; Weisser, Tillmann; Henrion, Didier; Lasserre, Jean Bernard
8
2020
A convergent hierarchy of non-linear eigenproblems to compute the joint spectral radius of nonnegative matrices. Zbl 1476.65080
Gaubert, Stéphane; Stott, Nikolas
6
2020
Optimality conditions in variational form for non-linear constrained stochastic control problems. Zbl 1452.90230
Pfeiffer, Laurent
5
2020
Optimal investment problem with delay under partial information. Zbl 1447.91166
Zhang, Shuaiqi; Xiong, Jie; Zhang, Xin
5
2020
Free boundaries of credit rating migration in switching macro regions. Zbl 1441.35241
Wu, Yuan; Liang, Jin
5
2020
Non-exponential discounting portfolio management with habit formation. Zbl 1461.91279
Liu, Jingzhen; Lin, Liyuan; Yiu, Ka Fai Cedric; Wei, Jiaqin
4
2020
Stochastic impulse control problem with state and time dependent cost functions. Zbl 1461.93541
El Asri, Brahim; Mazid, Sehail
4
2020
Semi-conical eigenvalue intersections and the ensemble controllability problem for quantum systems. Zbl 1462.81103
Augier, Nicolas; Boscain, Ugo; Sigalotti, Mario
4
2020
A Poincaré-Bendixson theorem for hybrid systems. Zbl 1442.34072
Clark, William; Bloch, Anthony; Colombo, Leonardo
4
2020
Singular control of SPDEs with space-mean dynamics. Zbl 1459.60135
Agram, Nacira; Hilbert, Astrid; Øksendal, Bernt
4
2020
Asymptotic stabilization of continuous-time periodic stochastic systems by feedback control based on periodic discrete-time observations. Zbl 1467.93323
Dong, Ran; Mao, Xuerong
3
2020
Minimal time of null controllability of two parabolic equations. Zbl 1442.93010
Ouaili, Lydia
3
2020
Optimal periodic control for scalar dynamics under integral constraint on the input. Zbl 1455.49001
Bayen, Térence; Rapaport, Alain; Tani, Fatima-Zahra
3
2020
Maximal discrete sparsity in parabolic optimal control with measures. Zbl 1462.49011
Herberg, Evelyn; Hinze, Michael; Schumacher, Henrik
2
2020
Controllability properties of degenerate pseudo-parabolic boundary control problems. Zbl 1441.93042
Zhang, Mu-Ming; Xu, Tian-Yuan; Yin, Jing-Xue
2
2020
State-constrained semilinear elliptic optimization problems with unrestricted sparse controls. Zbl 1455.35099
Casas, Eduardo; Tröltzsch, Fredi
2
2020
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Cited by 2,269 Authors

35 Zuazua, Enrique
27 Kian, Yavar
22 Trélat, Emmanuel
22 Yong, Jiongmin
21 Yamamoto, Masahiro
20 Casas, Eduardo
19 Kunisch, Karl
19 Wang, Tianxiao
17 Fernández-Cara, Enrique
15 Coron, Jean-Michel
15 Münch, Arnaud
14 Sun, Jingrui
13 Cannarsa, Piermarco
13 Gugat, Martin
13 Li, Xun
13 Mateos, Mariano
13 Piccoli, Benedetto
13 Prieur, Christophe
13 Wu, Zhen
12 Hernández-Santamaría, Víctor
12 Lissy, Pierre
12 Nicaise, Serge
12 Wang, Gengsheng
11 Antil, Harbir
11 Christof, Constantin
11 de Teresa, Luz
11 Dwivedi, Sharad
11 Herty, Michael Matthias
11 Le Balc’h, Kévin
11 Leugering, Günter
11 Mironchenko, Andrii
11 Signori, Andrea
11 Wang, Hanxiao
11 Wehbe, Ali
11 Wei, Jiaqin
10 Carreño, Nicolás
10 Cerpa, Eduardo
10 Choulli, Mourad
10 Ghoshal, Shyam Sundar
10 Krstić, Miroslav
10 Li, Tatsien
10 Maniar, Lahcen
10 Takahashi, Takéo
10 Wei, Ting
10 Yu, Zhiyong
9 Akil, Mohammad
9 Alabau-Boussouira, Fatiha
9 Ammari, Kais
9 Boyer, Franck
9 Colli, Pierluigi
9 Dubey, Shruti A.
9 Ervedoza, Sylvain
9 González-Burgos, Manuel
9 Limaco, Juan
9 Liu, Yikan
9 Marigonda, Antonio
9 Oksanen, Lauri
9 Rüland, Angkana
9 Vexler, Boris
9 Xiang, Shengquan
9 Xiong, Jie
9 Zanella, Mattia
8 Bonnard, Bernard
8 Capistrano-Filho, Roberto de A.
8 Chen, Mo
8 Frankowska, Hélène
8 Karafyllis, Iasson
8 Kogut, Peter I.
8 Léautaud, Matthieu
8 Lü, Qi
8 Martinez, Patrick
8 Mehra, Mani
8 Rao, Bopeng
8 Salhi, Jawad
8 Zhang, Yangwen
7 Albi, Giacomo
7 Allal, Brahim
7 Ammar-Khodja, Farid
7 Avdonin, Sergeĭ Anatol’evich
7 Bourdin, Loïc
7 Capistrano-Filho, Roberto A.
7 Cavagnari, Giulia
7 Duprez, Michel
7 Guan, Chonghu
7 Hayat, Amaury
7 Hu, Ying
7 Malinowska, Agnieszka Barbara
7 Neitzel, Ira
7 Nguyen, Hoai-Minh
7 Ni, Yuanhua
7 Pfeiffer, Laurent
7 Rodrigues, Sérgio S.
7 Rösch, Arnd
7 Rosier, Lionel
7 Singler, John R.
7 Soccorsi, Eric
7 Sprekels, Jürgen
7 Tröltzsch, Fredi
7 Vancostenoble, Judith
7 Wang, Lijuan
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Cited in 300 Journals

157 SIAM Journal on Control and Optimization
118 Mathematical Control and Related Fields
115 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
56 Journal of Mathematical Analysis and Applications
56 Automatica
56 Journal of Differential Equations
54 Applied Mathematics and Optimization
52 Systems & Control Letters
35 MCSS. Mathematics of Control, Signals, and Systems
35 Evolution Equations and Control Theory
34 Inverse Problems
30 Mathematical Methods in the Applied Sciences
26 Journal de Mathématiques Pures et Appliquées. Neuvième Série
25 SIAM Journal on Mathematical Analysis
22 Journal of Computational and Applied Mathematics
21 Journal of Optimization Theory and Applications
21 Acta Applicandae Mathematicae
21 Discrete and Continuous Dynamical Systems. Series B
19 Applicable Analysis
19 International Journal of Control
18 Computers & Mathematics with Applications
18 Discrete and Continuous Dynamical Systems. Series S
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Journal of Evolution Equations
15 Journal of Dynamical and Control Systems
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Journal of Scientific Computing
14 Inverse Problems and Imaging
13 ZAMP. Zeitschrift für angewandte Mathematik und Physik
13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
13 Computational Optimization and Applications
13 Fractional Calculus & Applied Analysis
12 Mathematical Problems in Engineering
12 Networks and Heterogeneous Media
11 Journal of the Franklin Institute
11 Applied Mathematics and Computation
10 Journal of Functional Analysis
10 NoDEA. Nonlinear Differential Equations and Applications
10 Vietnam Journal of Mathematics
9 SIAM Journal on Scientific Computing
9 Journal of Inverse and Ill-Posed Problems
9 Probability, Uncertainty and Quantitative Risk
8 SIAM Journal on Numerical Analysis
8 Optimal Control Applications & Methods
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 Stochastic Processes and their Applications
8 Calculus of Variations and Partial Differential Equations
8 Discrete and Continuous Dynamical Systems
8 Qualitative Theory of Dynamical Systems
8 Journal of Industrial and Management Optimization
8 SIAM Journal on Financial Mathematics
8 S\(\vec{\text{e}}\)MA Journal
7 Archive for Rational Mechanics and Analysis
7 Numerische Mathematik
7 Chinese Annals of Mathematics. Series B
7 Optimization
7 SIAM Journal on Optimization
7 Journal of Mathematical Sciences (New York)
7 Mathematical Finance
7 Communications on Pure and Applied Analysis
7 Advances in Difference Equations
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Analysis & PDE
6 Nonlinearity
6 Chaos, Solitons and Fractals
6 Acta Mathematicae Applicatae Sinica. English Series
6 Communications in Statistics. Theory and Methods
6 Computational and Applied Mathematics
6 Abstract and Applied Analysis
6 Nonlinear Analysis. Real World Applications
6 Journal of Systems Science and Complexity
6 Mediterranean Journal of Mathematics
6 Boundary Value Problems
5 Statistics & Probability Letters
5 Applied Numerical Mathematics
5 Advances in Computational Mathematics
5 European Journal of Control
5 Taiwanese Journal of Mathematics
5 Communications in Nonlinear Science and Numerical Simulation
5 Lobachevskii Journal of Mathematics
5 Differential Equations
5 Séminaire Laurent Schwartz. EDP et Applications
5 International Journal of Systems Science. Principles and Applications of Systems and Integration
4 Mathematics of Computation
4 Memoirs of the American Mathematical Society
4 Insurance Mathematics & Economics
4 The Annals of Applied Probability
4 Communications in Partial Differential Equations
4 Mathematical Programming. Series A. Series B
4 International Journal of Robust and Nonlinear Control
4 Finance and Stochastics
4 Journal of Inequalities and Applications
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Communications in Contemporary Mathematics
4 Mathematical Modelling and Analysis
4 Stochastics and Dynamics
4 Oberwolfach Reports
4 Inverse Problems in Science and Engineering
4 Kinetic and Related Models
4 Science China. Mathematics
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Cited in 48 Fields

1,080 Partial differential equations (35-XX)
1,004 Systems theory; control (93-XX)
558 Calculus of variations and optimal control; optimization (49-XX)
253 Numerical analysis (65-XX)
239 Probability theory and stochastic processes (60-XX)
202 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
118 Ordinary differential equations (34-XX)
103 Operator theory (47-XX)
102 Fluid mechanics (76-XX)
95 Operations research, mathematical programming (90-XX)
90 Mechanics of deformable solids (74-XX)
88 Biology and other natural sciences (92-XX)
70 Real functions (26-XX)
51 Dynamical systems and ergodic theory (37-XX)
38 Integral equations (45-XX)
28 Differential geometry (53-XX)
23 Statistical mechanics, structure of matter (82-XX)
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20 Optics, electromagnetic theory (78-XX)
20 Quantum theory (81-XX)
18 Computer science (68-XX)
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15 Difference and functional equations (39-XX)
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13 Functions of a complex variable (30-XX)
11 Harmonic analysis on Euclidean spaces (42-XX)
10 Special functions (33-XX)
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8 Information and communication theory, circuits (94-XX)
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2 General topology (54-XX)
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