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Li, Tatsien

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Author ID: li.tatsien Recent zbMATH articles by "Li, Tatsien"
Published as: Lee, D.; Lee, D. T.; Lee, Da-tsin; Li, D.; Li, D.-q.; Li, Da-qian; Li, Daiqan; Li, Daqian; Li, T.; Li, T. T.; Li, T.-T.; Li, Ta Tsien; Li, Ta-Tsien; Li, Ta-sien; Li, Ta-tsien; Li, TaTsien; Li, Tatsian; Li, Tatsien; Li, Tatsien (Daqian)
Homepage: http://math.fudan.edu.cn/homepage/LiDaqian/
External Links: MGP · Wikidata · dblp · GND
Documents Indexed: 281 Publications since 1964, including 41 Books
Biographic References: 1 Publication
all top 5

Co-Authors

62 single-authored
43 Rao, Bopeng
17 Zhou, Yi
15 Kong, Dexing
11 Damlamian, Alain
11 Yu, Wenci
9 Peng, Yuejun
9 Wang, Libin
8 Gu, Qilong
7 Chen, Yunmei
7 Zhao, Yanchun
6 Leugering, Günter
6 Shen, Weixi
6 Tan, Yongji
5 Cai, Zhijie
5 Qin, Tiehu
5 Yu, Xin
4 Jin, Yi
4 Wang, Zhiqiang
4 Yu, Wentzu
3 Coron, Jean-Michel
3 Gu, Chaohao
3 Hu, Long
3 Shi, Jiahong
3 Xue, Mi
3 Yu, Lei
3 Yu, Lixin
3 Zhou, Chunlian
2 Ciarlet, Philippe Gaston
2 Cioranescu, Doina
2 Ge, Molin
2 Hong, Jiaxing
2 Hu, Hesheng
2 Jiang, Song
2 LeFloch, Philippe Gerard
2 Li, Ruixia
2 Lü, Fang
2 Lü, Xing
2 Miara, Bernadette
2 Rodrigues, José Francisco
2 Sheng, Wancheng
2 Tang, Qi
2 Tsuji, Mikio
2 Wang, Yue
2 Wang, Yue
2 Wang, Zhi-Qiang
2 Zhang, Pingwen
2 Zhang, Weiping
2 Zhuang, Kaili
1 Bao, Gang
1 Beirão da Veiga, Hugo
1 Brézis, Haïm
1 Chang, Kung-Ching
1 Chen, Gui-Qiang G.
1 Chen, Shuxing
1 Chen, Wei
1 Chen, Wei
1 de Mottoni, Piero
1 Gao, Ruxi
1 Greenberg, James M.
1 Hou, Zongyuan
1 Hsiao, Ling
1 Huang, Yumin
1 Jeltsch, Rolf
1 Lei, Zhen
1 Li, Caizhong
1 Li, Likang
1 Li, Yachun
1 Lin, Longwei
1 Lin, Zhengyan
1 Liu, Chun
1 Liu, Fagui
1 Maday, Yvon
1 Mimura, Masayasu
1 Nishiura, Yasumasa
1 Qu, Peng
1 Ruiz, Jérémy
1 Saker, S. H. Ean-Tong
1 Serre, Denis
1 Shao, Zhiqiang
1 Shen, Chunli
1 Shi, Yuming
1 Sloan, Ian Hugh
1 Tang, Qi
1 Wang, Jingnong
1 Wang, Ke
1 Wang, Libin B.
1 Wang, Wei-min
1 Wang, Yue
1 Wei, Yimin
1 White, Luther W.
1 Xin, Yuanlong
1 Xu, Yulan
1 Yan, Jinhai
1 Yang, Chen Ning (Frank)
1 Yang, Chung-Chun
1 Yang, Yongfu
1 Ye, Qixiao
1 Zhang, Bingyu
1 Zhang, Chunrui
1 Zhang, Hao
...and 2 more Co-Authors
all top 5

Serials

24 Chinese Annals of Mathematics. Series B
13 Comptes Rendus de l’Académie des Sciences. Série I
13 Series in Contemporary Applied Mathematics CAM
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Mathematical Methods in the Applied Sciences
8 Communications in Partial Differential Equations
7 Discrete and Continuous Dynamical Systems
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Asymptotic Analysis
6 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
5 SIAM Journal on Control and Optimization
5 Journal of Partial Differential Equations
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
4 Nonlinear Analysis. Theory, Methods & Applications
3 Inverse Problems
3 Journal of Mathematical Analysis and Applications
3 Chinese Annals of Mathematics
3 Acta Mathematica Scientia
3 Methods and Applications of Analysis
3 Communications on Pure and Applied Analysis
3 Scientia Sinica
2 Applicable Analysis
2 Acta Mathematica Sinica
2 Journal of Computational and Applied Mathematics
2 Journal of Differential Equations
2 Chinese Annals of Mathematics. Series A
2 Journal of Fudan University. Natural Science
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Applied Mathematics. Series A (Chinese Edition)
2 Progress in Nonlinear Differential Equations and Their Applications
2 SpringerBriefs in Mathematics
1 International Journal of Modern Physics B
1 Information Processing Letters
1 Funkcialaj Ekvacioj. Serio Internacia
1 Indiana University Mathematics Journal
1 Mathematische Nachrichten
1 Portugaliae Mathematica
1 Acta Mathematicae Applicatae Sinica
1 Fudan Journal. (Natural Science)
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Biomathematics
1 Journal of Partial Differential Equations. Series A
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 Surveys on Mathematics for Industry
1 SIAM Journal on Mathematical Analysis
1 Applied Mathematics
1 Applied Mathematics. Series B (English Edition)
1 Journal of Mathematical Sciences (New York)
1 Nonlinear World
1 Georgian Mathematical Journal
1 Nonlinear Studies
1 RIMS Kokyuroku
1 Journal of Mathematical Study
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Nonlinear Analysis. Real World Applications
1 Discrete and Continuous Dynamical Systems. Series B
1 Portugaliae Mathematica. Nova Série
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Journal of Hyperbolic Differential Equations
1 International Journal of Numerical Analysis and Modeling
1 Chinese Mathematics
1 Nankai Series in Pure, Applied Mathematics and Theoretical Physics
1 International Journal of Dynamical Systems and Differential Equations
1 Science China. Mathematics
1 Journal of Mathematical Research with Applications
1 AIMS Series on Applied Mathematics
1 Series in Contemporary Mathematics
1 Other Titles in Applied Mathematics

Publications by Year

Citations contained in zbMATH

187 Publications have been cited 1,765 times in 776 Documents Cited by Year
Global classical solutions for quasilinear hyperbolic systems. Zbl 0841.35064
Li, Ta-tsien
166
1994
Boundary value problems for quasilinear hyperbolic systems. Zbl 0627.35001
Li, Ta-tsien; Yu, Wen-ci
110
1985
Breakdown of solutions to \(\square u+u_ t=| u| ^{1+\alpha}\). Zbl 0872.35067
Li, Ta-Tsien; Zhou, Yi
66
1995
Exact boundary controllability for quasilinear hyperbolic systems. Zbl 1032.35124
Li, Ta-Tsien; Rao, Bo-Peng
65
2003
Global classical solutions for general quasilinear hyperbolic systems with decay initial data. Zbl 0874.35068
Li, Ta-Tsien; Zhou, Yi; Kong, Dexing
59
1997
The effect of boundary damping for the quasilinear wave equation. Zbl 0576.35080
Greenberg, J. M.; Li, Tatsien
59
1984
Weak linear degeneracy and global classical solutions for general quasilinear hyperbolic systems. Zbl 0810.35054
Li, Tatsien; Zhou, Yi; Kong, Dexing
53
1994
Local exact boundary controllability for a class of quasilinear hyperbolic systems. Zbl 1184.35196
Li, Tatsien; Rao, Bopeng
38
2002
Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems. Zbl 1005.35058
Li, Tatsien; Jin, Yi
37
2001
Global classical solutions for nonlinear evolution equations. Zbl 0787.35002
Li, Ta-Tsien; Chen, Yunmei
34
1992
Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1262.35155
Li, Tatsien; Rao, Bopeng
31
2013
Controllability and observability for quasilinear hyberbolic systems. Zbl 1198.93003
Li, Tatsien
29
2010
Strong (weak) exact controllability and strong (weak) exact observability for quasilinear hyperbolic systems. Zbl 1206.35168
Li, Tatsien; Rao, Bopeng
27
2010
A note on the life-span of classical solutions to nonlinear wave equations in four space dimensions. Zbl 0851.35094
Li, Ta-Tsien; Zhou, Yi
26
1995
Life-span of classical solutions to fully nonlinear wave equations. Zbl 0743.35011
Li, Tatsien; Yu, Xin
26
1991
On a free boundary problem. Zbl 0479.35075
Li, Daqian
24
1980
Global classical solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems. Zbl 1067.35044
Li, Tatsien; Wang, Libin
23
2005
Exact boundary controllability for 1-D quasilinear wave equations. Zbl 1116.93021
Li, Tatsien; Yu, Lixin
20
2006
Global classical discontinuous solutions to a class of generalized Riemann problem for general quasilinear hyperbolic systems of conservation laws. Zbl 0926.35083
Li, Tatsien; Kong, Dexing
20
1999
Initial value problems for nonlinear wave equations. Zbl 0662.35071
Li, Tatsien; Chen, Yunmei
20
1988
Boundary value problems with equivalued surface and resistivity well-logging. Zbl 0919.35001
Li, Tatsien; Zheng, Songmu; Tan, Yongji; Shen, Weixi
17
1998
Breakdown of classical solutions to quasilinear hyperbolic systems. Zbl 0953.35090
Li, Tatsien; Kong, De-xing
16
2000
Boundary homogenization for elliptic problems. Zbl 0658.35023
Damlamian, Alain; Li, Ta-Tsien
16
1987
Global smooth solution of Cauchy problems for a class of quasilinear hyperbolic systems. Zbl 0517.35057
Hsiao, Ling; Li, Ta-Tsien
16
1983
On the exactly synchronizable state to a coupled system of wave equations. Zbl 1339.93014
Li, Tatsien; Rao, Bopeng
15
2015
Exact boundary synchronization for a coupled system of 1-D wave equations. Zbl 1332.35213
Li, Tatsien; Rao, Bopeng; Hu, Long
15
2014
Global propagation of regular nonlinear hyperbolic waves. Zbl 1179.35006
Li, Tatsien; Wang, Libin
15
2009
Exact controllability for quasilinear hyperbolic systems and its application to unsteady flows in a network of open canals. Zbl 1151.93316
Li, Tatsien
15
2004
The mixed initial-boundary value problem for reducible quasilinear hyperbolic systems with linearly degenerate characteristics. Zbl 1027.35065
Li, Ta-Tsien; Peng, Yue-Jun
15
2003
Generalized exact boundary synchronization for a coupled system of wave equations. Zbl 1281.93023
Li, Tatsien; Rao, Bopeng; Wei, Yimin
14
2014
A class of non-local boundary value problems for partial differential equations and its applications in numerical analysis. Zbl 0693.35003
Li, Tatsien
14
1989
Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1316.35182
Li, Tatsien; Rao, Bopeng
13
2014
Exact boundary controllability of unsteady flows in a network of open canals. Zbl 1066.93005
Li, Tatsien
13
2005
The generalized Riemann problem for the motion of elastic strings. Zbl 0794.35101
Li, Ta-Tsien; Serre, D.; Zhang, Hao
13
1992
Problèmes d’onde centrée pour les systèmes hyperboliques quasi linéaires et applications. (Problem of centered wave for quasilinear hyperbolic systems and applications). Zbl 0582.35078
Li, Tatsien; Yu, Wenci
13
1984
Exact boundary controllability and observability for first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions. Zbl 1211.93024
Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang
12
2010
Exact controllability for first order quasilinear hyperbolic systems with zero eigenvalues. Zbl 1045.35044
Li, Tatsien; Yu, Lixin
12
2003
Blow up of periodic solutions to quasilinear hyperbolic systems. Zbl 0858.35016
Li, Tatsien; Kong, Dexing
12
1996
A note on the exact synchronization by groups for a coupled system of wave equations. Zbl 1330.35245
Li, Tatsien; Rao, Bopeng
11
2015
Physics and partial differential equations. Volume II. Translated from the Chinese by Yachun Li. Zbl 1329.35002
Li, Tatsien; Qin, Tiehu
11
2014
Exact boundary synchronization for a coupled system of 1-D wave equations with coupled boundary conditions of dissipative type. Zbl 1277.35243
Hu, Long; Li, Tatsien; Rao, Bopeng
11
2014
Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms. Zbl 0582.35079
Li, Daqian; Qin, Tiehu
11
1985
Criteria of Kalman’s type to the approximate controllability and the approximate synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1327.93084
Li, Tatsien; Rao, Bopeng
10
2016
Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1327.93083
Li, Tatsien; Rao, Bopeng
10
2016
Life-span of classical solutions to nonlinear wave equations in two space dimensions. Zbl 0840.35064
Li, Ta-Tsien; Zhou, Yi
10
1994
Life-span of classical solutions to fully nonlinear wave equations. II. Zbl 0798.35104
Li, Tatsien; Zhou, Yi
10
1992
Global exact boundary controllability for first order quasilinear hyperbolic systems of diagonal form. Zbl 1168.35388
Li, Tatsien; Wang, Zhiqiang
9
2007
The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws. Zbl 1078.35068
Li, T.; Wang, L.
9
2005
Singularity caused by eigenvectors for quasilinear hyperbolic systems. Zbl 1027.35073
Li, Ta-Tsien; Liu, Fa-Gui
9
2003
Global exact controllability of a class of quasilinear hyperbolic systems. Zbl 0915.93007
Li, Ta-sien; Zhang, Bing-Yu
9
1998
Nonlinear heat conduction with finite speed of propagation. Zbl 0959.35088
Li, Tatsien
9
1997
A note on the generalized Riemann problem. Zbl 0744.35022
Li, Tatsien
9
1991
Global existence of classical solutions to the typical free boundary problem for general quasilinear hyperbolic systems and its applications. Zbl 0696.35200
Li, Daqian; Zhao, Yanchun
9
1990
A note on the all nearest-neighbor problem for convex polygons. Zbl 0399.68071
Yang, C. C.; Lee, D. T.
9
1979
Exact boundary controllability of nodal profile for quasilinear hyperbolic systems. Zbl 1205.35161
Li, Tatsien
8
2010
Exact boundary observability for quasilinear hyperbolic systems. Zbl 1155.93015
Li, Tatsien
8
2008
Exact boundary observability for 1-D quasilinear wave equations. Zbl 1100.35017
Li, Tatsien
8
2006
Global existence of weakly discontinuous solutions to the Cauchy problem with a kind of non-smooth initial data for quasilinear hyperbolic systems. Zbl 1064.35103
Li, Tatsien; Wang, Libin
8
2004
Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals. Zbl 1264.35261
Gu, Qilong; Li, Tatsien
7
2013
Entropy solutions for linearly degenerate hyperbolic systems of rich type. Zbl 1177.37043
Li, Ta-Tsien; Peng, Yue-Jun; Ruiz, Jérémy
7
2009
Exact boundary observability for quasilinear hyperbolic systems. Zbl 1101.93021
Li, Tatsien
7
2006
Exact boundary controllability for quasilinear wave equations. Zbl 1105.93013
Li, Tatsien
7
2006
Semi-global \(C^1\) solution and exact boundary controllability for quasilinear hyperbolic systems. Zbl 1031.93099
Li, Tatsien; Rao, Bopeng; Jin, Yi
7
2001
Nonlinear stability for two space dimensional wave equations with higher order perturbations. Zbl 0803.35100
Li, Tatsien; Zhou, Yi
7
1994
Life-span of classical solutions to nonlinear wave equations in two- space-dimensions. II. Zbl 0798.35105
Li, Tatsien; Zhou, Yi
7
1993
Centered waves for quasilinear hyperbolic systems. Zbl 0601.35069
Li, Daqian; Yu, Wenci
7
1986
Total flux (nonlocal) boundary value problems for pseudoparabolic equations. Zbl 0525.35021
Li, Ta-Tsien; White, L. W.
7
1983
Global regularity and formation of singularities of solutions to first order quasilinear hyperbolic systems. Zbl 0453.35056
Lee, Da-tsin
7
1981
Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1254.35228
Li, Tatsien; Rao, Bopeng
6
2012
Asymptotic controllability for linear hyperbolic systems. Zbl 1244.35083
Li, Tatsien; Rao, Bopeng
6
2011
Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings. Zbl 1180.35326
Gu, Qilong; Li, Tatsien
6
2009
Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems. Zbl 1043.35103
Li, Ta-Tsien; Wang, Libin B.
6
2004
Global \(C^1\) solution to the initial-boundary value problem for diagonal hyperbolic systems with linearly degenerate characteristics. Zbl 1045.35043
Li, Tatsien; Peng, Yue-Jun
6
2003
Cauchy problem for weakly linearly degenerate hyperbolic systems in diagonal form. Zbl 1036.35124
Li, Ta-Tsien; Peng, Yue-Jun
6
2003
Contrôlabilité exacte frontière pour les équations des ondes quasi linéaires unidimensionnelles. (Exact boundary controllability for 1-D quasilinear wave equations). Zbl 1029.93036
Li, Tatsien; Yu, Lixin
6
2003
The centered wave problem for quasilinear hyperbolic systems. Zbl 0642.35056
Li, Daqian; Yu, Wenci
6
1986
Exact boundary controllability for a coupled system of wave equations with Neumann boundary controls. Zbl 1364.93068
Li, Tatsien; Rao, Bopeng
5
2017
Criteria of Kálmán’s type for the approximate controllability and the approximate synchronization of a coupled system of wave equations. Zbl 1304.93030
Li, Tatsien; Rao, Bopeng
5
2015
Physics and partial differential equations. Volume I. Translated from the Chinese by Yachun Li. Zbl 1266.35001
Li, Tatsien; Qin, Tiehu
5
2012
A note on the one-side exact boundary observability for quasilinear hyperbolic systems. Zbl 1157.35418
Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang
5
2008
One-side exact controllability and observability for quasilinear hyperbolic systems. Zbl 1147.93009
Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang
5
2008
Exact boundary controllability of unsteady flows in a tree-like network of open canals. Zbl 1171.93315
Li, Ta-Tsien; Rao, Bopeng
5
2004
A note on blow-up phenomenon of classical solutions to quasilinear hyperbolic systems. Zbl 1006.35061
Kong, De-xing; Li, Ta-tsien
5
2002
Generalized Riemann problem for a class of string systems. Zbl 0805.35086
Li, Ta-Tsien; Peng, Yue-Jun
5
1993
Life-span of classical solutions to one dimensional nonlinear wave equations. Zbl 0796.35108
Li, Tatsien; Yu, Xin; Zhou, Yi
5
1992
A global asymptotic expansion for the solution to the generalized Riemann problem. Zbl 0731.35006
Le Floch, Philippe; Li, Tatsien
5
1990
Initial value problems for nonlinear heat equations. Zbl 0671.35036
Li, Tatsien; Chen, Yunmei
5
1988
Some existence theorems for quasi-linear hyperbolic systems of partial differential equations in two independent variables. I: Typical boundary value problems. II: Typical boundary value problems of functional form and typical free boundary problems. III: General boundary value problems and general free boundary problems. Zbl 0173.12305
Lee, D.; Yu, Wen-tzu
5
1964
Exact controllability for first order quasilinear hyperbolic systems with internal controls. Zbl 1330.35248
Zhuang, Kaili; Li, Tatsien; Rao, Bopeng
4
2016
Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1328.35255
Li, Tatsien; Rao, Bopeng
4
2014
On the exactly synchronizable state to a coupled system of wave equations. Zbl 1302.93126
Li, Tatsien; Rao, Bopeng
4
2014
Exact boundary controllability for quasilinear hyperbolic systems on a tree-like network and its applications. Zbl 1237.35120
Gu, Qilong; Li, Tatsien
4
2011
Exact boundary controllability of nodal profile for quasilinear hyperbolic systems in a tree-like network. Zbl 1223.35221
Gu, Qilong; Li, Tatsien
4
2011
Mechanism of the formation of singularities for quasilinear hyperbolic systems. Zbl 1173.35584
Li, Tatsien (Daqian)
4
2009
Mechanism of the formation of singularities for quasilinear hyperbolic systems with linearly degenerate characteristic fields. Zbl 1209.35076
Li, Ta-Tsien; Peng, Yue-Jun; Yang, Yong-Fu; Zhou, Yi
4
2008
Global exact shock reconstruction for quasilinear hyperbolic systems of conservation laws. Zbl 1116.35092
Li, Tatsien; Wang, Libin
4
2006
Local exact boundary controllability for nonlinear vibrating string equations. Zbl 1073.93506
Li, Tatsien; Xu, Yulan
4
2003
A remark on the normalized coordinates and their applications to quasilinear hyperbolic systems. Zbl 0962.35120
Li, Ta-tsien
4
2000
Initial value problem for general quasilinear hyperbolic systems with characteristics with constant multiplicity. Zbl 0891.35082
Li, Tatsien; Kong, Dexing
4
1997
Global regularity and breakdown of nonlinear hyperbolic waves. Zbl 0887.35097
Li, Ta-Tsien
4
1997
Boundary synchronization for hyperbolic systems. Zbl 1443.93002
Li, Tatsien; Rao, Bopeng
2
2019
Exact boundary controllability and its applications for a coupled system of quasilinear wave equations with dynamical boundary conditions. Zbl 1437.35509
Wang, Yue; Leugering, Günter; Li, Tatsien
1
2019
Exact boundary controllability of nodal profile for Saint-Venant system on a network with loops. Zbl 1423.35245
Zhuang, Kaili; Leugering, Günter; Li, Tatsien
1
2019
Exact boundary synchronization for a coupled system of wave equations with Neumann boundary controls. Zbl 1391.93039
Li, Tatsien; Lu, Xing; Rao, Bopeng
3
2018
On the approximate boundary synchronization for a coupled system of wave equations: direct and indirect controls. Zbl 1415.93022
Li, Tatsien; Rao, Bopeng
1
2018
Exact boundary controllability for a coupled system of wave equations with Neumann boundary controls. Zbl 1364.93068
Li, Tatsien; Rao, Bopeng
5
2017
One-sided exact boundary null controllability of entropy solutions to a class of hyperbolic systems of conservation laws. Zbl 1368.35180
Li, Tatsien; Yu, Lei
3
2017
Exact boundary controllability for 1-D quasilinear wave equations with dynamical boundary conditions. Zbl 1391.35283
Wang, Yue; Leugering, Günter; Li, Tatsien
2
2017
Criteria of Kalman’s type to the approximate controllability and the approximate synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1327.93084
Li, Tatsien; Rao, Bopeng
10
2016
Exact synchronization by groups for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1327.93083
Li, Tatsien; Rao, Bopeng
10
2016
Exact controllability for first order quasilinear hyperbolic systems with internal controls. Zbl 1330.35248
Zhuang, Kaili; Li, Tatsien; Rao, Bopeng
4
2016
Exact boundary controllability of nodal profile for quasilinear hyperbolic systems. Zbl 1417.93016
Li, Tatsien; Wang, Ke; Gu, Qilong
3
2016
Exact boundary synchronization for a coupled system of 1-D quasilinear wave equations. Zbl 1350.93040
Hu, Long; Li, Tatsien; Qu, Peng
1
2016
A new approach for the approximate synchronization for a coupled system of wave equations: direct and indirect controls. Zbl 1347.93055
Li, Tatsien; Rao, Bopeng
1
2016
From phenomena of synchronization to exact synchronization and approximate synchronization for hyperbolic systems. Zbl 1339.93026
Li, TaTsien
1
2016
On the exactly synchronizable state to a coupled system of wave equations. Zbl 1339.93014
Li, Tatsien; Rao, Bopeng
15
2015
A note on the exact synchronization by groups for a coupled system of wave equations. Zbl 1330.35245
Li, Tatsien; Rao, Bopeng
11
2015
Criteria of Kálmán’s type for the approximate controllability and the approximate synchronization of a coupled system of wave equations. Zbl 1304.93030
Li, Tatsien; Rao, Bopeng
5
2015
A note on the exact synchronization by groups for a coupled system of wave equations. Zbl 1332.35209
Li, Tatsien; Rao, Bopeng
3
2015
Exact boundary synchronization for a coupled system of 1-D wave equations. Zbl 1332.35213
Li, Tatsien; Rao, Bopeng; Hu, Long
15
2014
Generalized exact boundary synchronization for a coupled system of wave equations. Zbl 1281.93023
Li, Tatsien; Rao, Bopeng; Wei, Yimin
14
2014
Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1316.35182
Li, Tatsien; Rao, Bopeng
13
2014
Physics and partial differential equations. Volume II. Translated from the Chinese by Yachun Li. Zbl 1329.35002
Li, Tatsien; Qin, Tiehu
11
2014
Exact boundary synchronization for a coupled system of 1-D wave equations with coupled boundary conditions of dissipative type. Zbl 1277.35243
Hu, Long; Li, Tatsien; Rao, Bopeng
11
2014
Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1328.35255
Li, Tatsien; Rao, Bopeng
4
2014
On the exactly synchronizable state to a coupled system of wave equations. Zbl 1302.93126
Li, Tatsien; Rao, Bopeng
4
2014
Oscillation of fourth-order delay differential equations. Zbl 1314.34140
Zhang, C.; Li, T.; Saker, S. H.
2
2014
Exact boundary synchronization for a coupled system of wave equations. Zbl 1311.35144
Li, Tatsien
2
2014
Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1262.35155
Li, Tatsien; Rao, Bopeng
31
2013
Exact boundary controllability of nodal profile for unsteady flows on a tree-like network of open canals. Zbl 1264.35261
Gu, Qilong; Li, Tatsien
7
2013
Periodic homogenization for inner boundary conditions with equi-valued surfaces: the unfolding approach. Zbl 1320.35042
Cioranescu, Doina; Damlamian, Alain; Li, Tatsien
3
2013
In memory of Professor Chen Jiangong (Chen Kien Kwong) on the 120th anniversary of his birth. Zbl 1299.01014
Li, Daqian; Lin, Zhengyan
1
2013
Asymptotic controllability and asymptotic synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1276.93018
Li, Tatsien; Rao, Bopeng
1
2013
Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Zbl 1254.35228
Li, Tatsien; Rao, Bopeng
6
2012
Physics and partial differential equations. Volume I. Translated from the Chinese by Yachun Li. Zbl 1266.35001
Li, Tatsien; Qin, Tiehu
5
2012
Asymptotic controllability for linear hyperbolic systems. Zbl 1244.35083
Li, Tatsien; Rao, Bopeng
6
2011
Exact boundary controllability for quasilinear hyperbolic systems on a tree-like network and its applications. Zbl 1237.35120
Gu, Qilong; Li, Tatsien
4
2011
Exact boundary controllability of nodal profile for quasilinear hyperbolic systems in a tree-like network. Zbl 1223.35221
Gu, Qilong; Li, Tatsien
4
2011
Asymptotic controllability for linear hyperbolic systems. Zbl 1221.35224
Li, Tatsien; Rao, Bopeng
1
2011
Exact boundary observability for quasilinear wave equations in a planar tree-like network of strings. Zbl 1213.35313
Gu, Qilong; Li, Tatsien
1
2011
Controllability and observability for quasilinear hyberbolic systems. Zbl 1198.93003
Li, Tatsien
29
2010
Strong (weak) exact controllability and strong (weak) exact observability for quasilinear hyperbolic systems. Zbl 1206.35168
Li, Tatsien; Rao, Bopeng
27
2010
Exact boundary controllability and observability for first order quasilinear hyperbolic systems with a kind of nonlocal boundary conditions. Zbl 1211.93024
Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang
12
2010
Exact boundary controllability of nodal profile for quasilinear hyperbolic systems. Zbl 1205.35161
Li, Tatsien
8
2010
Global exact boundary controllability for first order quasilinear hyperbolic systems. Zbl 1213.35299
Li, Tatsien (Daqian)
3
2010
Exact controllability and exact observability for quasilinear hyperbolic systems: known results and open problems. Zbl 1223.35004
Li, Tatsien; Rao, Bopeng
1
2010
Global propagation of regular nonlinear hyperbolic waves. Zbl 1179.35006
Li, Tatsien; Wang, Libin
15
2009
Entropy solutions for linearly degenerate hyperbolic systems of rich type. Zbl 1177.37043
Li, Ta-Tsien; Peng, Yue-Jun; Ruiz, Jérémy
7
2009
Exact boundary controllability for quasilinear wave equations in a planar tree-like network of strings. Zbl 1180.35326
Gu, Qilong; Li, Tatsien
6
2009
Mechanism of the formation of singularities for quasilinear hyperbolic systems. Zbl 1173.35584
Li, Tatsien (Daqian)
4
2009
Exact controllability for first order quasilinear hyperbolic systems with vertical characteristics. Zbl 1212.93023
Li, Tatsien; Rao, Bopeng
3
2009
Exact boundary observability of unsteady flows in a tree-like network of open canals. Zbl 1155.35401
Gu, Qilong; Li, Tatsien
3
2009
A note on the one-side exact boundary controllability for quasilinear hyperbolic systems. Zbl 1152.35425
Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang
1
2009
Exact boundary observability for quasilinear hyperbolic systems. Zbl 1155.93015
Li, Tatsien
8
2008
A note on the one-side exact boundary observability for quasilinear hyperbolic systems. Zbl 1157.35418
Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang
5
2008
One-side exact controllability and observability for quasilinear hyperbolic systems. Zbl 1147.93009
Li, Tatsien; Rao, Bopeng; Wang, Zhiqiang
5
2008
Mechanism of the formation of singularities for quasilinear hyperbolic systems with linearly degenerate characteristic fields. Zbl 1209.35076
Li, Ta-Tsien; Peng, Yue-Jun; Yang, Yong-Fu; Zhou, Yi
4
2008
Global exact boundary controllability for first order quasilinear hyperbolic systems of diagonal form. Zbl 1168.35388
Li, Tatsien; Wang, Zhiqiang
9
2007
A note on the exact controllability for nonautonomous hyperbolic systems. Zbl 1141.93012
Li, Tatsien; Wang, Zhiqiang
3
2007
Inverse piston problem for the system of one-dimensional isentropic flow. Zbl 1134.35108
Li, Tatsien; Wang, Libin
3
2007
Existence and uniqueness of global solution to an inverse piston problem. Zbl 1115.35152
Li, Tatsien; Wang, Libin
3
2007
Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for a nonhomogeneous quasilinear hyperbolic system. Zbl 1109.35067
Li, Ta-Tsien; Shao, Zhi-Qiang; Kong, De-Xing
2
2007
Exact boundary controllability for 1-D quasilinear wave equations. Zbl 1116.93021
Li, Tatsien; Yu, Lixin
20
2006
Exact boundary observability for 1-D quasilinear wave equations. Zbl 1100.35017
Li, Tatsien
8
2006
Exact boundary observability for quasilinear hyperbolic systems. Zbl 1101.93021
Li, Tatsien
7
2006
Exact boundary controllability for quasilinear wave equations. Zbl 1105.93013
Li, Tatsien
7
2006
Global exact shock reconstruction for quasilinear hyperbolic systems of conservation laws. Zbl 1116.35092
Li, Tatsien; Wang, Libin
4
2006
Blow-up mechanism of classical solutions to quasilinear hyperbolic systems in the critical case. Zbl 1106.35033
Li, Tatsien; Wang, Libin
2
2006
Global classical solutions to a kind of mixed initial-boundary value problem for quasilinear hyperbolic systems. Zbl 1067.35044
Li, Tatsien; Wang, Libin
23
2005
Exact boundary controllability of unsteady flows in a network of open canals. Zbl 1066.93005
Li, Tatsien
13
2005
The generalized nonlinear initial-boundary Riemann problem for quasilinear hyperbolic systems of conservation laws. Zbl 1078.35068
Li, T.; Wang, L.
9
2005
Exact shock reconstruction. Zbl 1070.35128
Li, Tatsien
2
2005
Frontiers and prospects of contemporary applied mathematics. Selected papers based on the presentation at the symposium on frontiers and prospects of contemporary applied mathematics, Xiangtan, China, August 24–30, 2004. Zbl 1090.65002
Li, Tatsien (ed.); Zhang, Pingwen (ed.)
1
2005
Exact controllability of quasilinear hyperbolic systems. Zbl 1072.35507
Li, Tatsien
1
2005
Exact controllability for quasilinear hyperbolic systems and its application to unsteady flows in a network of open canals. Zbl 1151.93316
Li, Tatsien
15
2004
Global existence of weakly discontinuous solutions to the Cauchy problem with a kind of non-smooth initial data for quasilinear hyperbolic systems. Zbl 1064.35103
Li, Tatsien; Wang, Libin
8
2004
Global existence of classical solutions to the Cauchy problem on a semi-bounded initial axis for quasilinear hyperbolic systems. Zbl 1043.35103
Li, Ta-Tsien; Wang, Libin B.
6
2004
Exact boundary controllability of unsteady flows in a tree-like network of open canals. Zbl 1171.93315
Li, Ta-Tsien; Rao, Bopeng
5
2004
Exact boundary controllability of unsteady flows in a network of open canals. Zbl 1119.93312
Li, Tatsien
2
2004
Exact boundary controllability of unsteady flows in a tree-like network of open canals. Zbl 1116.93311
Li, Tatsien; Rao, Bopeng
2
2004
Global existence of piecewise \(C^ 1\) solutions to the generalized Riemann problem. Zbl 1079.35063
Li, Tatsien; Wang, Libin
1
2004
Exact boundary controllability for quasilinear hyperbolic systems. Zbl 1032.35124
Li, Ta-Tsien; Rao, Bo-Peng
65
2003
The mixed initial-boundary value problem for reducible quasilinear hyperbolic systems with linearly degenerate characteristics. Zbl 1027.35065
Li, Ta-Tsien; Peng, Yue-Jun
15
2003
Exact controllability for first order quasilinear hyperbolic systems with zero eigenvalues. Zbl 1045.35044
Li, Tatsien; Yu, Lixin
12
2003
Singularity caused by eigenvectors for quasilinear hyperbolic systems. Zbl 1027.35073
Li, Ta-Tsien; Liu, Fa-Gui
9
2003
Global \(C^1\) solution to the initial-boundary value problem for diagonal hyperbolic systems with linearly degenerate characteristics. Zbl 1045.35043
Li, Tatsien; Peng, Yue-Jun
6
2003
Cauchy problem for weakly linearly degenerate hyperbolic systems in diagonal form. Zbl 1036.35124
Li, Ta-Tsien; Peng, Yue-Jun
6
2003
Contrôlabilité exacte frontière pour les équations des ondes quasi linéaires unidimensionnelles. (Exact boundary controllability for 1-D quasilinear wave equations). Zbl 1029.93036
Li, Tatsien; Yu, Lixin
6
2003
Local exact boundary controllability for nonlinear vibrating string equations. Zbl 1073.93506
Li, Tatsien; Xu, Yulan
4
2003
Local exact boundary controllability for a class of quasilinear hyperbolic systems. Zbl 1184.35196
Li, Tatsien; Rao, Bopeng
38
2002
A note on blow-up phenomenon of classical solutions to quasilinear hyperbolic systems. Zbl 1006.35061
Kong, De-xing; Li, Ta-tsien
5
2002
Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 2002. Vol. I: Plenary lectures and ceremonies. Zbl 1011.00026
Li, Ta Tsien (ed.); Cai, Zhi Jie (ed.); Xue, Mi (ed.); Zhou, Chun Lian (ed.)
1
2002
The general Riemann problem for the linearized system of two-dimensional isentropic flow in gas dynamics. Zbl 1106.76437
Li, Tatsian; Sheng, Wancheng
1
2002
Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20–28, 2002. Vol. III: Invited lectures. Zbl 0993.00023
Li, Ta Tsien (ed.); Cai, Zhi Jie (ed.); Lu, Fang (ed.); Xue, Mi (ed.); Zhou, Chun Lian (ed.)
1
2002
The general multi-dimensional Riemann problem for hyperbolic systems with real constant coefficients. Zbl 1005.35061
Li, Tatsian; Sheng, Wancheng
1
2002
Semi-global \(C^1\) solution to the mixed initial-boundary value problem for quasilinear hyperbolic systems. Zbl 1005.35058
Li, Tatsien; Jin, Yi
37
2001
Semi-global \(C^1\) solution and exact boundary controllability for quasilinear hyperbolic systems. Zbl 1031.93099
Li, Tatsien; Rao, Bopeng; Jin, Yi
7
2001
A remark on the normalized coordinates and its applications to quasilinear hyperbolic systems. Zbl 1054.35512
Li, Tatsien
2
2001
Breakdown of classical solutions to quasilinear hyperbolic systems. Zbl 0953.35090
Li, Tatsien; Kong, De-xing
16
2000
A remark on the normalized coordinates and their applications to quasilinear hyperbolic systems. Zbl 0962.35120
Li, Ta-tsien
4
2000
...and 87 more Documents
all top 5

Cited by 727 Authors

67 Li, Tatsien
28 Rao, Bopeng
23 Kong, Dexing
23 Shao, Zhiqiang
20 Zhou, Yi
16 Gugat, Martin
16 Qu, Peng
16 Yin, Huicheng
14 Coron, Jean-Michel
14 Leugering, Günter
13 Wakasugi, Yuta
11 Li, Fengquan
11 Xin, Zhouping
10 Chen, Shuxing
10 Ikeda, Masahiro
10 Nishihara, Kenji
9 Chen, Gui-Qiang G.
9 Hidano, Kunio
9 Li, Yachun
9 Liu, Jianli
9 Prieur, Christophe
9 Wang, Libin
8 Gu, Qilong
8 Han, Wei
8 Herty, Michael Matthias
8 Hu, Long
8 Peng, Yuejun
8 Takamura, Hiroyuki
8 Wang, Zhiqiang
8 Zhu, Shengguo
7 Aamo, Ole Morten
7 Lai, Geng
7 Lai, Ning-An
7 Li, Jiequan
7 Liu, Cunming
7 Liu, Fagui
7 Yu, Lixin
7 Yuan, Hairong
7 Zha, Dongbing
6 Aliev, Akbar B.
6 Bastin, Georges
6 Chen, Geng
6 Du, Yi
6 Fang, Beixiang
6 Ikehata, Ryo
6 Lyubanova, Anna Sh.
6 Reissig, Michael
6 Sheng, Wancheng
6 Sobajima, Motohiro
6 Takeda, Hiroshi
6 Wang, Zhi-Qiang
5 Anfinsen, Henrik
5 Chechkin, Gregory A.
5 Ervedoza, Sylvain
5 Feldman, Mikhail
5 Hayashi, Nakao
5 Jiang, Mina
5 Pan, Ronghua
5 Shang, Peipei
5 Wakasa, Kyouhei
5 Wang, Chengbo
5 Witt, Ingo
5 Xu, Cheng-Zhong
5 Yang, Yongfu
5 Zhang, Yongqian
5 Zheng, Yuxi
5 Zhuang, Kaili
4 Ben-Artzi, Matania
4 Dai, Wenrong
4 Dumbser, Michael
4 Glass, Olivier
4 Hayat, Amaury
4 Hu, Yanbo
4 Krstić, Miroslav
4 Li, Jun
4 Lü, Xing
4 Manfrin, Renato
4 Naumkin, Pavel Ivanovich
4 Ogawa, Takayoshi
4 Olive, Guillaume
4 Peralta, Gilbert R.
4 Perrollaz, Vincent
4 Propst, Georg
4 Shaposhnikova, Tatiana A.
4 Sharma, Vishnu D.
4 Wang, Yanyan
4 Xie, Chunjing
4 Xu, Gang
4 Yagdjian, Karen
4 Yang, Tong
4 Yao, Pengfei
4 Yao, Zhengan
4 Yu, Lei
4 Zhao, Huijiang
4 Zhu, Changjiang
3 Amar, Micol
3 Andreucci, Daniele
3 Auriol, Jean
3 Di Meglio, Florent
3 Diagne, Mamadou L.
...and 627 more Authors
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Cited in 149 Serials

71 Journal of Mathematical Analysis and Applications
70 Journal of Differential Equations
63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
40 Mathematical Methods in the Applied Sciences
40 Chinese Annals of Mathematics. Series B
23 Automatica
21 Journal de Mathématiques Pures et Appliquées. Neuvième Série
20 Archive for Rational Mechanics and Analysis
16 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
15 Nonlinear Analysis. Theory, Methods & Applications
14 SIAM Journal on Control and Optimization
12 Communications in Partial Differential Equations
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Journal of Hyperbolic Differential Equations
10 Applicable Analysis
10 Discrete and Continuous Dynamical Systems
10 Communications on Pure and Applied Analysis
9 Systems & Control Letters
9 SIAM Journal on Mathematical Analysis
9 NoDEA. Nonlinear Differential Equations and Applications
9 Nonlinear Analysis. Real World Applications
7 Journal of Computational Physics
7 Journal of Mathematical Physics
7 Applied Mathematics Letters
7 Mathematical Control and Related Fields
6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6 Applied Mathematics. Series B (English Edition)
6 Acta Mathematica Sinica. English Series
6 Differential Equations
6 Science China. Mathematics
5 Computers & Mathematics with Applications
5 Quarterly of Applied Mathematics
5 Transactions of the American Mathematical Society
5 Applied Mathematics and Mechanics. (English Edition)
5 Acta Mathematicae Applicatae Sinica. English Series
5 MCSS. Mathematics of Control, Signals, and Systems
5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Advances in Mathematical Physics
4 International Journal of Control
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Applied Mathematics and Computation
4 Journal of Functional Analysis
4 Acta Applicandae Mathematicae
3 Advances in Mathematics
3 Applied Mathematics and Optimization
3 Journal of Computational and Applied Mathematics
3 Proceedings of the American Mathematical Society
3 Applications of Mathematics
3 Boletim da Sociedade Brasileira de Matemática. Nova Série
3 Calculus of Variations and Partial Differential Equations
3 Journal of Evolution Equations
3 Advances in Difference Equations
3 Boundary Value Problems
3 Frontiers of Mathematics in China
3 Networks and Heterogeneous Media
2 Communications on Pure and Applied Mathematics
2 General Relativity and Gravitation
2 Mathematical Notes
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Mathematics of Computation
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Mathematische Nachrichten
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Rendiconti del Seminario Matematico della Università di Padova
2 Tohoku Mathematical Journal. Second Series
2 Algorithmica
2 Journal of the American Mathematical Society
2 Journal of Elasticity
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Journal on Applied Mathematics
2 Journal of Dynamics and Differential Equations
2 Journal of Mathematical Sciences (New York)
2 Bulletin des Sciences Mathématiques
2 Mathematical Problems in Engineering
2 European Journal of Control
2 Doklady Mathematics
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 International Journal of Applied Mathematics and Computer Science
2 Discrete and Continuous Dynamical Systems. Series B
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Evolution Equations and Control Theory
2 Séminaire Laurent Schwartz. EDP et Applications
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Information Processing Letters
1 Journal d’Analyse Mathématique
1 Journal of Fluid Mechanics
1 Journal of the Franklin Institute
1 Journal of Mathematical Biology
1 Journal of the Mechanics and Physics of Solids
1 Physics Letters. A
1 Arkiv för Matematik
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Computing
1 Funkcialaj Ekvacioj. Serio Internacia
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Information Sciences
...and 49 more Serials
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Cited in 35 Fields

690 Partial differential equations (35-XX)
196 Systems theory; control (93-XX)
170 Fluid mechanics (76-XX)
36 Mechanics of deformable solids (74-XX)
31 Numerical analysis (65-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
13 Ordinary differential equations (34-XX)
13 Global analysis, analysis on manifolds (58-XX)
13 Operations research, mathematical programming (90-XX)
10 Operator theory (47-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Computer science (68-XX)
8 Relativity and gravitational theory (83-XX)
7 Biology and other natural sciences (92-XX)
6 Convex and discrete geometry (52-XX)
6 Quantum theory (81-XX)
5 Differential geometry (53-XX)
4 Probability theory and stochastic processes (60-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Geophysics (86-XX)
3 Optics, electromagnetic theory (78-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Astronomy and astrophysics (85-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Combinatorics (05-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
1 Real functions (26-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 Integral equations (45-XX)
1 Mechanics of particles and systems (70-XX)
1 Information and communication theory, circuits (94-XX)

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