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Ledyaev, Yuri Semenovich

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Author ID: ledyaev.yuri-s Recent zbMATH articles by "Ledyaev, Yuri Semenovich"
Published as: Ledyaev, Yu. S.; Ledyaev, Yuri S.; Ledyaev, Yuri; Ledjaev, Ju. S.; Ledyaev, Yu S.; Ledyaev, Y.
Homepage: http://homepages.wmich.edu/~ledyaev/
External Links: MGP · ResearchGate · Math-Net.Ru
Documents Indexed: 61 Publications since 1978, including 1 Book

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 1,304 times in 1,059 Documents Cited by Year
Nonsmooth analysis and control theory. Zbl 1047.49500
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
611
1998
Asymptotic controllability implies feedback stabilization. Zbl 0892.93053
Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I.
126
1997
Qualitative properties of trajectories of control systems: a survey. Zbl 0951.49003
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
112
1995
Asymptotic stability and smooth Lyapunov functions. Zbl 0907.34013
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
62
1998
Nonsmooth analysis on smooth manifolds. Zbl 1157.49021
Ledyaev, Yu. S.; Zhu, Qiji J.
55
2007
Feedback stabilization and Lyapunov functions. Zbl 0961.93047
Clarke, F. H.; Ledyaev, Yu. S.; Rifford, L.; Stern, R. J.
36
2000
A Lyapunov characterization of robust stabilization. Zbl 0947.34054
Ledyaev, Yuri S.; Sontag, Eduardo D.
34
1999
Implicit multifunction theorems. Zbl 0952.49017
Ledyaev, Yuri S.; Zhu, Qiji J.
30
1999
Mean value inequalities in Hilbert space. Zbl 0803.49018
Clarke, F. H.; Ledyaev, Yu. S.
28
1994
Approximate invariance and differential inclusions in Hilbert spaces. Zbl 0951.49007
Clarke, F. H.; Ledyaev, Yu. S.; Radulescu, M. L.
26
1997
Maximum principle for implicit control systems. Zbl 0929.49006
Devdariani, E. N.; Ledyaev, Yu. S.
17
1999
A note on the characterization of the global maxima of a (tangentially) convex function over a convex set. Zbl 0877.49017
Hiriart-Urruty, J.-B.; Ledyaev, Yuri S.
15
1996
Proximal analysis and minimization principles. Zbl 0865.49015
Clarke, F. H.; Ledyaev, Yu. S.; Wolenski, P. R.
15
1995
Mean value inequalities. Zbl 0856.49017
Clarke, F. H.; Ledyaev, Yu. S.
14
1994
Fixed points and equilibria in nonconvex sets. Zbl 0840.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
10
1995
The optimality of the pursuit time in a differential game of many objects with simple motion. Zbl 0509.90098
Ivanov, R. P.; Ledyaev, Yu. S.
9
1981
Complements, approximations, smoothings and invariance properties. Zbl 0905.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
9
1997
Universal feedback control via proximal aiming in problems of control under disturbance and differential games. Zbl 0965.49022
Clarke, F.; Ledyaev, Yu. S.; Subbotin, A. I.
8
1999
The synthesis of universal feedback pursuit strategies in differential games. Zbl 0872.90128
Clarke, F. H.; Ledyaev, Yu. S.; Subbotin, A. I.
8
1997
Proximal analysis and feedback construction. Zbl 1116.93031
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
6
2000
Dualization of the Euler and Hamiltonian inclusions. Zbl 1004.49016
Bessis, D. N.; Ledyaev, Yu. S.; Vinter, R. B.
5
2001
Criteria for viability of trajectories of nonautonomous differential inclusions and their applications. Zbl 0798.34019
Ledyaev, Yu. S.
5
1994
Invariance, monotonicity, and applications. Zbl 0936.93001
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
5
1999
On global optimality conditions for nonlinear optimal control problems. Zbl 0944.49020
Clarke, F. H.; Hiriart-Urruty, J.-B.; Ledyaev, Yu. S.
5
1998
Extension of chronological calculus for dynamical systems on manifolds. Zbl 1345.58006
Kipka, Robert J.; Ledyaev, Yuri S.
5
2015
Fixed point theory via nonsmooth analysis. Zbl 0874.47032
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
4
1997
New finite-increment formulas. Zbl 0898.49009
Clarke, F. H.; Ledyaev, Yu. S.
4
1993
Sub- and supergradients of envelopes, semicontinuous closures, and limits of sequences of functions. Zbl 1248.49019
Ledyaev, Yu S.; Treiman, J. S.
4
2012
Optimal control on manifolds: optimality conditions via nonsmooth analysis. Zbl 1297.49082
Kipka, Robert K.; Ledyaev, Yuri S.
4
2014
Helly’s intersection theorem on manifolds of nonpositive curvature. Zbl 1117.52008
Ledyaev, Yuri S.; Treiman, Jay S.; Zhu, Qiji J.
4
2006
Optimality of pursuit time in a differential game of several objects with simple motion. Zbl 0528.90105
Ivanov, R. P.; Ledyaev, Yu. S.
3
1983
Optimality conditions for implicit controlled systems. Zbl 0871.34038
Devdariani, E. N.; Ledyaev, Yu. S.
3
1996
Extremal problems in the theory of differential games. Zbl 0701.90104
Ledyaev, Yu. S.; Mishchenko, E. F.
3
1990
Pontryagin maximum principle for control systems on infinite dimensional manifolds. Zbl 1312.49023
Kipka, Robert J.; Ledyaev, Yuri S.
3
2015
On generic existence and uniqueness in nonconvex optimal control problems. Zbl 1047.49020
Ledyaev, Yuri S.
3
2004
An extension of the Schwarzkopf multiplier rule in optimal control. Zbl 1218.49027
Clarke, Francis; Ledyaev, Yuri; de Pinho, Maria do Rosário
3
2011
Techniques for nonsmooth analysis on smooth manifolds. I: Local problems. Zbl 1107.49018
Ledyaev, Yu. S.; Zhu, Qiji J.
2
2004
Multidirectional mean value inequalities and weak monotonicity. Zbl 1071.49022
Ledyaev, Yu. S.; Zhu, Q. J.
2
2005
Optimality conditions for implicit control systems. Zbl 0815.49017
Devdariani, E. N.; Ledyaev, Yu. S.
1
1993
Regularity properties of solutions to linear quadratic optimal control problems with state constraints. Zbl 0899.49017
Clarke, F. H.; Ledyaev, Y.; Vinter, R. B.
1
1997
Techniques for nonsmooth analysis on smooth manifolds. II: Deformations and flows. Zbl 1126.49012
Ledyaev, Yu. S.; Zhu, Qiji J.
1
2004
Optimal control of differential inclusions on manifolds. Zbl 1334.49073
Kipka, Robert J.; Ledyaev, Yuri S.
1
2015
Theorems on an implicitly defined multivalued mapping. Zbl 0589.90074
Ledyaev, Yu. S.
1
1984
On analytical solutions of matrix Riccati equations. Zbl 1228.93099
Ledyaev, Yuri S.
1
2011
Extension of chronological calculus for dynamical systems on manifolds. Zbl 1345.58006
Kipka, Robert J.; Ledyaev, Yuri S.
5
2015
Pontryagin maximum principle for control systems on infinite dimensional manifolds. Zbl 1312.49023
Kipka, Robert J.; Ledyaev, Yuri S.
3
2015
Optimal control of differential inclusions on manifolds. Zbl 1334.49073
Kipka, Robert J.; Ledyaev, Yuri S.
1
2015
Optimal control on manifolds: optimality conditions via nonsmooth analysis. Zbl 1297.49082
Kipka, Robert K.; Ledyaev, Yuri S.
4
2014
Sub- and supergradients of envelopes, semicontinuous closures, and limits of sequences of functions. Zbl 1248.49019
Ledyaev, Yu S.; Treiman, J. S.
4
2012
An extension of the Schwarzkopf multiplier rule in optimal control. Zbl 1218.49027
Clarke, Francis; Ledyaev, Yuri; de Pinho, Maria do Rosário
3
2011
On analytical solutions of matrix Riccati equations. Zbl 1228.93099
Ledyaev, Yuri S.
1
2011
Nonsmooth analysis on smooth manifolds. Zbl 1157.49021
Ledyaev, Yu. S.; Zhu, Qiji J.
55
2007
Helly’s intersection theorem on manifolds of nonpositive curvature. Zbl 1117.52008
Ledyaev, Yuri S.; Treiman, Jay S.; Zhu, Qiji J.
4
2006
Multidirectional mean value inequalities and weak monotonicity. Zbl 1071.49022
Ledyaev, Yu. S.; Zhu, Q. J.
2
2005
On generic existence and uniqueness in nonconvex optimal control problems. Zbl 1047.49020
Ledyaev, Yuri S.
3
2004
Techniques for nonsmooth analysis on smooth manifolds. I: Local problems. Zbl 1107.49018
Ledyaev, Yu. S.; Zhu, Qiji J.
2
2004
Techniques for nonsmooth analysis on smooth manifolds. II: Deformations and flows. Zbl 1126.49012
Ledyaev, Yu. S.; Zhu, Qiji J.
1
2004
Dualization of the Euler and Hamiltonian inclusions. Zbl 1004.49016
Bessis, D. N.; Ledyaev, Yu. S.; Vinter, R. B.
5
2001
Feedback stabilization and Lyapunov functions. Zbl 0961.93047
Clarke, F. H.; Ledyaev, Yu. S.; Rifford, L.; Stern, R. J.
36
2000
Proximal analysis and feedback construction. Zbl 1116.93031
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
6
2000
A Lyapunov characterization of robust stabilization. Zbl 0947.34054
Ledyaev, Yuri S.; Sontag, Eduardo D.
34
1999
Implicit multifunction theorems. Zbl 0952.49017
Ledyaev, Yuri S.; Zhu, Qiji J.
30
1999
Maximum principle for implicit control systems. Zbl 0929.49006
Devdariani, E. N.; Ledyaev, Yu. S.
17
1999
Universal feedback control via proximal aiming in problems of control under disturbance and differential games. Zbl 0965.49022
Clarke, F.; Ledyaev, Yu. S.; Subbotin, A. I.
8
1999
Invariance, monotonicity, and applications. Zbl 0936.93001
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
5
1999
Nonsmooth analysis and control theory. Zbl 1047.49500
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
611
1998
Asymptotic stability and smooth Lyapunov functions. Zbl 0907.34013
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
62
1998
On global optimality conditions for nonlinear optimal control problems. Zbl 0944.49020
Clarke, F. H.; Hiriart-Urruty, J.-B.; Ledyaev, Yu. S.
5
1998
Asymptotic controllability implies feedback stabilization. Zbl 0892.93053
Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I.
126
1997
Approximate invariance and differential inclusions in Hilbert spaces. Zbl 0951.49007
Clarke, F. H.; Ledyaev, Yu. S.; Radulescu, M. L.
26
1997
Complements, approximations, smoothings and invariance properties. Zbl 0905.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
9
1997
The synthesis of universal feedback pursuit strategies in differential games. Zbl 0872.90128
Clarke, F. H.; Ledyaev, Yu. S.; Subbotin, A. I.
8
1997
Fixed point theory via nonsmooth analysis. Zbl 0874.47032
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
4
1997
Regularity properties of solutions to linear quadratic optimal control problems with state constraints. Zbl 0899.49017
Clarke, F. H.; Ledyaev, Y.; Vinter, R. B.
1
1997
A note on the characterization of the global maxima of a (tangentially) convex function over a convex set. Zbl 0877.49017
Hiriart-Urruty, J.-B.; Ledyaev, Yuri S.
15
1996
Optimality conditions for implicit controlled systems. Zbl 0871.34038
Devdariani, E. N.; Ledyaev, Yu. S.
3
1996
Qualitative properties of trajectories of control systems: a survey. Zbl 0951.49003
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.; Wolenski, P. R.
112
1995
Proximal analysis and minimization principles. Zbl 0865.49015
Clarke, F. H.; Ledyaev, Yu. S.; Wolenski, P. R.
15
1995
Fixed points and equilibria in nonconvex sets. Zbl 0840.49010
Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J.
10
1995
Mean value inequalities in Hilbert space. Zbl 0803.49018
Clarke, F. H.; Ledyaev, Yu. S.
28
1994
Mean value inequalities. Zbl 0856.49017
Clarke, F. H.; Ledyaev, Yu. S.
14
1994
Criteria for viability of trajectories of nonautonomous differential inclusions and their applications. Zbl 0798.34019
Ledyaev, Yu. S.
5
1994
New finite-increment formulas. Zbl 0898.49009
Clarke, F. H.; Ledyaev, Yu. S.
4
1993
Optimality conditions for implicit control systems. Zbl 0815.49017
Devdariani, E. N.; Ledyaev, Yu. S.
1
1993
Extremal problems in the theory of differential games. Zbl 0701.90104
Ledyaev, Yu. S.; Mishchenko, E. F.
3
1990
Theorems on an implicitly defined multivalued mapping. Zbl 0589.90074
Ledyaev, Yu. S.
1
1984
Optimality of pursuit time in a differential game of several objects with simple motion. Zbl 0528.90105
Ivanov, R. P.; Ledyaev, Yu. S.
3
1983
The optimality of the pursuit time in a differential game of many objects with simple motion. Zbl 0509.90098
Ivanov, R. P.; Ledyaev, Yu. S.
9
1981
all top 5

Cited by 1,171 Authors

25 Nobakhtian, Soghra
20 Noor, Muhammad Aslam
18 Teel, Andrew Richard
18 Thibault, Lionel
18 Ye, Jane J.
16 Vinter, Richard B.
14 Bounkhel, Messaoud
14 Ledyaev, Yuri Semenovich
13 Clarke, Francis H.
13 Pouryayevali, Mohamad Reza
12 Dykhta, Vladimir Aleksandrovich
11 Soleimani-damaneh, Majid
11 Yao, Jen-Chih
10 Gao, Yan
10 Karafyllis, Iasson
10 Li, Chong
10 Rifford, Ludovic
9 Goebel, Rafal
9 Mahmudov, Elimhan N.
9 Mordukhovich, Boris S.
9 Noor, Khalida Inayat
9 Nour, Chadi
8 Cârjă, Ovidiu
8 Colombo, Giovanni
8 Donchev, Tzanko Donchev
8 Huang, Lihong
8 Lewis, Adrian S.
8 Movahedian, Nooshin
8 Wirth, Fabian Roger
7 Azagra, Daniel
7 Balooee, Javad
7 Cai, Zuowei
7 Cannarsa, Piermarco
7 Ferrera, Juan
7 Hantoute, Abderrahim
7 Hermosilla, Cristopher
7 Ibragimov, Gafurjan I.
7 Ioffe, Alexander Davidovich
7 Pang, Liping
7 Penot, Jean-Paul
7 Pepe, Pierdomenico
7 Perruquetti, Wilfrid
7 Polyakov, Andrey
7 Samsonyuk, Ol’ga Nikolaevna
7 Silva, Geraldo Nunes
7 Sorokin, Stepan Pavlovich
7 Stern, Ronald Jay
7 Vilches, Emilio
7 Wang, Jinhua
6 Adly, Samir
6 Barron, Emmanuel Nicholas
6 Bento, Glaydston C.
6 Broucke, Mireille E.
6 Ceragioli, Francesca
6 de Lara, Michel
6 Ferreira, Orizon Pereira
6 Gajardo, Pedro
6 Guseinov, Khalik G.
6 He, Qinghai
6 Hosseini, Seyedehsomayeh
6 Huang, Ming
6 Kipka, Robert J.
6 Li, Desheng
6 Lorenz, Thomas
6 Marigonda, Antonio
6 Wolenski, Peter R.
6 Xia, Zunquan
6 Zheng, Xiyin
5 Bettiol, Piernicola
5 Drusvyatskiy, Dmitriy
5 Efimov, Denis V.
5 Grüne, Lars
5 Heemels, W. P. Maurice H.
5 Huang, Nan-Jing
5 Jiang, Zhong-Ping
5 Kellett, Christopher M.
5 Kim, Do Sang
5 Kurzhanskiĭ, Aleksandr Borisovich
5 Lazu, Alina Ilinca
5 Lobo Pereira, Fernando
5 López Acedo, Genaro
5 Motta, Monica
5 Mu, Xiaowu
5 Ng, Kung-Fu
5 Sontag, Eduardo D.
5 Takche, Jean
5 Tsinias, John
5 Wang, Shawn Xianfu
5 Xu, Mengwei
5 Nguyen Dong Yen
5 Zafarani, Jafar
5 Zidani, Hasnaa
4 Al-Said, Eisa A.
4 Azhmyakov, Vadim
4 Bauschke, Heinz H.
4 Bolte, Jérôme
4 Borwein, Jonathan Michael
4 Bressan, Alberto
4 da Cruz Neto, João Xavier
4 de Oliveira, Valeriano Antunes
...and 1,071 more Authors
all top 5

Cited in 202 Serials

69 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
60 Journal of Optimization Theory and Applications
60 Systems & Control Letters
54 Journal of Mathematical Analysis and Applications
43 Automatica
40 Set-Valued and Variational Analysis
29 Journal of Global Optimization
27 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
26 Journal of Differential Equations
26 SIAM Journal on Control and Optimization
26 Mathematical Programming. Series A. Series B
19 Optimization Letters
17 Set-Valued Analysis
15 International Journal of Control
15 Journal of the Franklin Institute
15 Optimization
14 Journal of Dynamical and Control Systems
13 Automation and Remote Control
13 International Journal of Robust and Nonlinear Control
12 Transactions of the American Mathematical Society
12 MCSS. Mathematics of Control, Signals, and Systems
12 Journal of Convex Analysis
11 Numerical Functional Analysis and Optimization
11 SIAM Journal on Optimization
10 Discrete and Continuous Dynamical Systems. Series B
9 Neural Networks
9 Journal of Mathematical Sciences (New York)
9 European Journal of Control
9 Abstract and Applied Analysis
8 Discrete and Continuous Dynamical Systems
8 Differential Equations
8 Proceedings of the Steklov Institute of Mathematics
7 Proceedings of the American Mathematical Society
7 Nonlinear Analysis. Hybrid Systems
6 Applied Mathematics Letters
6 Calculus of Variations and Partial Differential Equations
6 Optimization Methods & Software
6 Journal of Applied Mathematics
6 Journal of Applied Mathematics and Computing
5 Prikladnaya Matematika i Mekhanika
5 Applied Mathematics and Computation
5 Communications in Partial Differential Equations
5 Computational Optimization and Applications
5 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
5 Nonlinear Analysis. Theory, Methods & Applications
4 Mathematical Biosciences
4 Journal of Computational and Applied Mathematics
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Acta Mathematicae Applicatae Sinica. English Series
4 Applied Mathematical Modelling
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Cybernetics and Systems Analysis
4 Mathematical Problems in Engineering
4 Positivity
4 Journal of Inequalities and Applications
4 Journal of the Australian Mathematical Society
4 Journal of Function Spaces
3 Applicable Analysis
3 Archive for Rational Mechanics and Analysis
3 Chaos, Solitons and Fractals
3 Applied Mathematics and Optimization
3 Journal of Approximation Theory
3 Applied Mathematics and Mechanics. (English Edition)
3 The Annals of Applied Probability
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 NoDEA. Nonlinear Differential Equations and Applications
3 Nonlinear Dynamics
3 Acta Mathematica Sinica. English Series
3 Communications in Nonlinear Science and Numerical Simulation
3 Nonlinear Analysis. Real World Applications
3 Foundations of Computational Mathematics
3 Mediterranean Journal of Mathematics
3 Advances in Difference Equations
3 Journal of Industrial and Management Optimization
3 Journal of Fixed Point Theory and Applications
3 Mathematical Control and Related Fields
2 Computers & Mathematics with Applications
2 Journal of Applied Mathematics and Mechanics
2 Information Sciences
2 Journal of Functional Analysis
2 Journal of Mathematical Economics
2 Mathematische Annalen
2 Mathematische Nachrichten
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Theoretical Computer Science
2 Optimal Control Applications & Methods
2 Journal of the Nigerian Mathematical Society
2 Journal of Economic Dynamics & Control
2 Mathematical and Computer Modelling
2 Neural Computation
2 European Journal of Operational Research
2 SIAM Journal on Applied Mathematics
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Russian Mathematics
2 Computational and Applied Mathematics
2 Random Operators and Stochastic Equations
2 Top
2 Doklady Mathematics
2 Differential Equations and Dynamical Systems
2 Vietnam Journal of Mathematics
...and 102 more Serials
all top 5

Cited in 45 Fields

519 Calculus of variations and optimal control; optimization (49-XX)
334 Systems theory; control (93-XX)
252 Operations research, mathematical programming (90-XX)
197 Ordinary differential equations (34-XX)
91 Operator theory (47-XX)
75 Numerical analysis (65-XX)
60 Global analysis, analysis on manifolds (58-XX)
56 Partial differential equations (35-XX)
53 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
47 Biology and other natural sciences (92-XX)
46 Dynamical systems and ergodic theory (37-XX)
44 Real functions (26-XX)
30 Functional analysis (46-XX)
21 Differential geometry (53-XX)
20 General topology (54-XX)
17 Computer science (68-XX)
16 Convex and discrete geometry (52-XX)
16 Mechanics of particles and systems (70-XX)
14 Probability theory and stochastic processes (60-XX)
13 Measure and integration (28-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Statistics (62-XX)
7 Difference and functional equations (39-XX)
5 Combinatorics (05-XX)
5 Approximations and expansions (41-XX)
5 Mechanics of deformable solids (74-XX)
5 Information and communication theory, circuits (94-XX)
4 Mathematical logic and foundations (03-XX)
3 History and biography (01-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Algebraic geometry (14-XX)
2 Functions of a complex variable (30-XX)
2 Integral equations (45-XX)
2 Geometry (51-XX)
2 Algebraic topology (55-XX)
2 Optics, electromagnetic theory (78-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Manifolds and cell complexes (57-XX)
1 Fluid mechanics (76-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Geophysics (86-XX)

Citations by Year