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## Lewicka, Marta

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 Author ID: lewicka.marta Published as: Lewicka, Marta Homepage: http://www.math.pitt.edu/~lewicka/ External Links: Google Scholar · MGP · dblp
 Documents Indexed: 60 Publications since 1996, including 4 Books
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#### Co-Authors

 14 single-authored 11 Pakzad, Mohammad Reza 5 Bressan, Alberto 4 Manfredi, Juan J. 4 Mucha, Piotr Bogusław 3 Mora, Maria Giovanna 3 Spadini, Marco 2 Codenotti, Luca 2 Mahadevan, Lakshminarayanan 2 Müller, Stefan 2 Ochoa, Pablo D. 2 Raoult, Annie 2 Ricciotti, Diego 2 Wang, Dehua 2 Zumbrun, Kevin R. 1 Acharya, Amit 1 Acu, Bahar 1 Andres, Jan 1 Barker, Blake 1 Bella, Peter 1 Bhattacharya, Kaushik 1 Chen, Gui-Qiang G. 1 Constantin, Peter 1 Danielli, Donatella 1 Feireisl, Eduard 1 Górniewicz, Lech 1 Hornung, Peter 1 Lučić, Danka 1 Novotný, Antonín 1 Pati, Arati Nanda 1 Peres, Yuval 1 Raoofi, Mohammadreza 1 RV, Saraswathy 1 Ryzhik, Lenya 1 Schäffner, Mathias 1 Teboh-Ewungkem, Miranda I. 1 Trivisa, Konstantina 1 Watson, Stephen James 1 Zheng, Yuxi
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#### Serials

 6 Archive for Rational Mechanics and Analysis 4 SIAM Journal on Mathematical Analysis 3 Indiana University Mathematics Journal 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Nonlinearity 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Journal of Elasticity 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications on Pure and Applied Analysis 2 Evolution Equations and Control Theory 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematische Annalen 1 Rendiconti del Seminario Matematico della Università di Padova 1 Transactions of the American Mathematical Society 1 Probability Theory and Related Fields 1 Differential and Integral Equations 1 Expositiones Mathematicae 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Journal of Hyperbolic Differential Equations 1 The IMA Volumes in Mathematics and its Applications 1 Analysis & PDE 1 Nonlinear Analysis. Theory, Methods & Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 AIMS Series on Applied Mathematics 1 Association for Women in Mathematics Series 1 Bollettino dell’Unione Matematica Italiana 1 Universitext
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#### Fields

 37 Partial differential equations (35-XX) 25 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 6 Differential geometry (53-XX) 5 Ordinary differential equations (34-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Probability theory and stochastic processes (60-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Numerical analysis (65-XX) 2 Functional analysis (46-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 419 times in 228 Documents Cited by Year
Scaling laws for non-Euclidean plates and the $$W^{2,2}$$ isometric immersions of Riemannian metrics. Zbl 1300.74028
2011
The Föppl-von Kármán equations for plates with incompatible strains. Zbl 1219.74027
2011
The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells. Zbl 1291.74130
2011
Shell theories arising as low energy $$\Gamma$$-limit of 3d nonlinear elasticity. Zbl 1425.74298
2010
The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055
Lewicka, Marta; Müller, Stefan
2011
Plates with incompatible prestrain. Zbl 1382.74081
Bhattacharya, Kaushik; Lewicka, Marta; Schäffner, Mathias
2016
On the $$L^1$$ well posedness of systems of conservation laws near solutions containing two large shocks. Zbl 0994.35086
Lewicka, Marta; Trivisa, Konstantina
2002
The infinite hierarchy of elastic shell models: some recent results and a conjecture. Zbl 1263.74035
2012
The obstacle problem for the $$p$$-Laplacian via optimal stopping of tug-of-war games. Zbl 1358.60058
Lewicka, Marta; Manfredi, Juan J.
2017
On temporal asymptotics for the $$p$$th power viscous reactive gas. Zbl 1094.76052
Lewicka, Marta; Mucha, Piotr B.
2004
Well-posedness for hyperbolic systems of conservation laws with large BV data. Zbl 1065.35189
Lewicka, Marta
2004
Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells. Zbl 1322.74049
2013
Existence and stability of viscoelastic shock profiles. Zbl 1233.35023
Barker, Blake; Lewicka, Marta; Zumbrun, Kevin
2011
The Monge-Ampère constraint: matching of isometries, density and regularity, and elastic theories of shallow shells. (Les contraintes de type Monge-Ampère: continuation des isometries, densité et regularité, et modèles variationnels pour les coques minces.) Zbl 1359.35085
2017
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
2006
Plates with incompatible prestrain of high order. Zbl 1457.74121
Lewicka, Marta; Raoult, Annie; Ricciotti, Diego
2017
Stability conditions for patterns of noninteracting large shock waves. Zbl 1049.35129
Lewicka, Marta
2001
$$L^1$$ stability of patterns of non-interacting large shock waves. Zbl 0987.35108
Lewicka, Marta
2000
Convex integration for the Monge-Ampère equation in two dimensions. Zbl 1370.35151
2017
Variational models for prestrained plates with Monge-Ampère constraint. Zbl 1363.74063
2015
A nonlinear theory for shells with slowly varying thickness. Zbl 1168.74036
2009
On the existence of traveling waves in the 3D Boussinesq system. Zbl 1213.35352
Lewicka, Marta; Mucha, Piotr B.
2009
On the optimal constants in Korn’s and geometric rigidity estimates in bounded and unbounded domains, under Neumann boundary conditions. Zbl 1405.74010
Lewicka, Marta; Müller, Stefan
2016
Temporal asymptotics for the $$p'$$th power Newtonian fluid in one space dimension. Zbl 1026.76039
Lewicka, Marta; Watson, Stephen J.
2003
A uniqueness condition for hyperbolic systems of conservation laws. Zbl 1157.35421
Bressan, Alberto; Lewicka, Marta
2000
A note on convergence of low energy critical points of nonlinear elasticity functionals, for thin shells of arbitrary geometry. Zbl 1377.74013
Lewicka, Marta
2011
Shift differentials of maps in BV spaces. Zbl 0935.46025
Bressan, Alberto; Lewicka, Marta
1999
Existence of traveling waves in the Stokes-Boussinesq system for reactive flows. Zbl 1155.35413
Lewicka, Marta
2007
Discrete approximations to the double-obstacle problem and optimal stopping of tug-of-war games. Zbl 1380.35113
Codenotti, Luca; Lewicka, Marta; Manfredi, Juan
2017
A local existence result for a system of viscoelasticity with physical viscosity. Zbl 1273.74024
Lewicka, Marta; Mucha, Piotr B.
2013
Thin structures with imposed metric. Zbl 1452.74068
Lewicka, Marta; Raoult, Annie
2018
Locally lipschitzian guiding function method for ODEs. Zbl 0935.34007
Lewicka, Marta
1998
On the variational limits of lattice energies on prestrained elastic bodies. Zbl 1325.53046
Lewicka, Marta; Ochoa, Pablo
2015
On the genericity of the multiplicity results for forced oscillations on compact manifolds. Zbl 0952.34032
1999
Stability conditions for strong rarefaction waves. Zbl 1081.35058
Lewicka, Marta
2005
Lyapunov functional for solutions of systems of conservation laws containing a strong rarefaction. Zbl 1079.35062
Lewicka, Marta
2005
Game theoretical methods in PDEs. Zbl 1322.35139
Lewicka, Marta; Manfredi, Juan J.
2014
Quantitative immersability of Riemann metrics and the infinite hierarchy of prestrained shell models. Zbl 1433.74078
Lewicka, Marta
2020
Partially dissipative periodic processes. Zbl 0845.34026
Andres, Jan; Górniewicz, Lech; Lewicka, Marta
1996
Convergence of equilibria for incompressible elastic plates in the von Kármán regime. Zbl 1317.74058
Lewicka, Marta; Li, Hui
2015
Random walks and random tug of war in the Heisenberg group. Zbl 1467.60032
Lewicka, Marta; Manfredi, Juan; Ricciotti, Diego
2020
The metric-restricted inverse design problem. Zbl 1342.74099
2016
A rigorous justification of the Euler and Navier-Stokes equations with geometric effects. Zbl 1406.35258
Bella, Peter; Feireisl, Eduard; Lewicka, Marta; Novotný, Antonín
2016
Branches of forced oscillations in degenerate systems of second-order ODEs. Zbl 1151.34034
2008
Dimension reduction for thin films with transversally varying prestrain: oscillatory and nonoscillatory cases. Zbl 1452.49026
Lewicka, Marta; Lučić, Danka
2020
A local and global well-posedness results for the general stress-assisted diffusion systems. Zbl 1382.35296
Lewicka, Marta; Mucha, Piotr B.
2016
Reduced theories in nonlinear elasticity. Zbl 1403.74051
Lewicka, Marta
2011
Spectral stability conditions for shock wave patterns. Zbl 1147.35056
Lewicka, Marta; Zumbrun, Kevin
2007
Quantitative immersability of Riemann metrics and the infinite hierarchy of prestrained shell models. Zbl 1433.74078
Lewicka, Marta
2020
Random walks and random tug of war in the Heisenberg group. Zbl 1467.60032
Lewicka, Marta; Manfredi, Juan; Ricciotti, Diego
2020
Dimension reduction for thin films with transversally varying prestrain: oscillatory and nonoscillatory cases. Zbl 1452.49026
Lewicka, Marta; Lučić, Danka
2020
Thin structures with imposed metric. Zbl 1452.74068
Lewicka, Marta; Raoult, Annie
2018
The obstacle problem for the $$p$$-Laplacian via optimal stopping of tug-of-war games. Zbl 1358.60058
Lewicka, Marta; Manfredi, Juan J.
2017
The Monge-Ampère constraint: matching of isometries, density and regularity, and elastic theories of shallow shells. (Les contraintes de type Monge-Ampère: continuation des isometries, densité et regularité, et modèles variationnels pour les coques minces.) Zbl 1359.35085
2017
Plates with incompatible prestrain of high order. Zbl 1457.74121
Lewicka, Marta; Raoult, Annie; Ricciotti, Diego
2017
Convex integration for the Monge-Ampère equation in two dimensions. Zbl 1370.35151
2017
Discrete approximations to the double-obstacle problem and optimal stopping of tug-of-war games. Zbl 1380.35113
Codenotti, Luca; Lewicka, Marta; Manfredi, Juan
2017
Plates with incompatible prestrain. Zbl 1382.74081
Bhattacharya, Kaushik; Lewicka, Marta; Schäffner, Mathias
2016
On the optimal constants in Korn’s and geometric rigidity estimates in bounded and unbounded domains, under Neumann boundary conditions. Zbl 1405.74010
Lewicka, Marta; Müller, Stefan
2016
The metric-restricted inverse design problem. Zbl 1342.74099
2016
A rigorous justification of the Euler and Navier-Stokes equations with geometric effects. Zbl 1406.35258
Bella, Peter; Feireisl, Eduard; Lewicka, Marta; Novotný, Antonín
2016
A local and global well-posedness results for the general stress-assisted diffusion systems. Zbl 1382.35296
Lewicka, Marta; Mucha, Piotr B.
2016
Variational models for prestrained plates with Monge-Ampère constraint. Zbl 1363.74063
2015
On the variational limits of lattice energies on prestrained elastic bodies. Zbl 1325.53046
Lewicka, Marta; Ochoa, Pablo
2015
Convergence of equilibria for incompressible elastic plates in the von Kármán regime. Zbl 1317.74058
Lewicka, Marta; Li, Hui
2015
Game theoretical methods in PDEs. Zbl 1322.35139
Lewicka, Marta; Manfredi, Juan J.
2014
Infinitesimal isometries on developable surfaces and asymptotic theories for thin developable shells. Zbl 1322.74049
2013
A local existence result for a system of viscoelasticity with physical viscosity. Zbl 1273.74024
Lewicka, Marta; Mucha, Piotr B.
2013
The infinite hierarchy of elastic shell models: some recent results and a conjecture. Zbl 1263.74035
2012
Scaling laws for non-Euclidean plates and the $$W^{2,2}$$ isometric immersions of Riemannian metrics. Zbl 1300.74028
2011
The Föppl-von Kármán equations for plates with incompatible strains. Zbl 1219.74027
2011
The matching property of infinitesimal isometries on elliptic surfaces and elasticity of thin shells. Zbl 1291.74130
2011
The uniform Korn-Poincaré inequality in thin domains. Zbl 1253.74055
Lewicka, Marta; Müller, Stefan
2011
Existence and stability of viscoelastic shock profiles. Zbl 1233.35023
Barker, Blake; Lewicka, Marta; Zumbrun, Kevin
2011
A note on convergence of low energy critical points of nonlinear elasticity functionals, for thin shells of arbitrary geometry. Zbl 1377.74013
Lewicka, Marta
2011
Reduced theories in nonlinear elasticity. Zbl 1403.74051
Lewicka, Marta
2011
Shell theories arising as low energy $$\Gamma$$-limit of 3d nonlinear elasticity. Zbl 1425.74298
2010
A nonlinear theory for shells with slowly varying thickness. Zbl 1168.74036
2009
On the existence of traveling waves in the 3D Boussinesq system. Zbl 1213.35352
Lewicka, Marta; Mucha, Piotr B.
2009
Branches of forced oscillations in degenerate systems of second-order ODEs. Zbl 1151.34034
2008
Existence of traveling waves in the Stokes-Boussinesq system for reactive flows. Zbl 1155.35413
Lewicka, Marta
2007
Spectral stability conditions for shock wave patterns. Zbl 1147.35056
Lewicka, Marta; Zumbrun, Kevin
2007
Travelling waves in two-dimensional reactive Boussinesq systems with no-slip boundary conditions. Zbl 1106.76076
Constantin, Peter; Lewicka, Marta; Ryzhik, Lenya
2006
Stability conditions for strong rarefaction waves. Zbl 1081.35058
Lewicka, Marta
2005
Lyapunov functional for solutions of systems of conservation laws containing a strong rarefaction. Zbl 1079.35062
Lewicka, Marta
2005
On temporal asymptotics for the $$p$$th power viscous reactive gas. Zbl 1094.76052
Lewicka, Marta; Mucha, Piotr B.
2004
Well-posedness for hyperbolic systems of conservation laws with large BV data. Zbl 1065.35189
Lewicka, Marta
2004
Temporal asymptotics for the $$p'$$th power Newtonian fluid in one space dimension. Zbl 1026.76039
Lewicka, Marta; Watson, Stephen J.
2003
On the $$L^1$$ well posedness of systems of conservation laws near solutions containing two large shocks. Zbl 0994.35086
Lewicka, Marta; Trivisa, Konstantina
2002
Stability conditions for patterns of noninteracting large shock waves. Zbl 1049.35129
Lewicka, Marta
2001
$$L^1$$ stability of patterns of non-interacting large shock waves. Zbl 0987.35108
Lewicka, Marta
2000
A uniqueness condition for hyperbolic systems of conservation laws. Zbl 1157.35421
Bressan, Alberto; Lewicka, Marta
2000
Shift differentials of maps in BV spaces. Zbl 0935.46025
Bressan, Alberto; Lewicka, Marta
1999
On the genericity of the multiplicity results for forced oscillations on compact manifolds. Zbl 0952.34032
1999
Locally lipschitzian guiding function method for ODEs. Zbl 0935.34007
Lewicka, Marta
1998
Partially dissipative periodic processes. Zbl 0845.34026
Andres, Jan; Górniewicz, Lech; Lewicka, Marta
1996
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#### Cited by 274 Authors

 26 Lewicka, Marta 8 Zumbrun, Kevin R. 7 Hornung, Peter 7 Kupferman, Raz 7 Pakzad, Mohammad Reza 6 Chen, Gui-Qiang G. 6 Maor, Cy 6 Mora, Maria Giovanna 6 Mucha, Piotr Bogusław 6 Velčić, Igor 6 Zatorska, Ewelina 5 Colombo, Rinaldo M. 5 Harutyunyan, Davit 4 Novotný, Antonín 4 Spadini, Marco 4 Tambača, Josip 4 Yao, Pengfei 3 Agostiniani, Virginia 3 Barker, Blake 3 Bella, Peter 3 Davoli, Elisa 3 DeSimone, Antonio 3 Henderson, Christopher 3 Herty, Michael Matthias 3 Kohn, Robert Vita 3 Lin, Xiaobiao 3 Manfredi, Juan J. 3 Marohnić, Maroje 3 Olbermann, Heiner 3 Pera, Maria Patrizia 3 Pokorný, Milan 3 Vasseur, Alexis F. 3 Yao, Jinghua 2 Amadori, Debora 2 Andres, Jan 2 Baiti, Paolo 2 Banda, Mapundi Kondwani 2 Banz, Lothar 2 Bhattacharya, Kaushik 2 Bressan, Alberto 2 Calamai, Alessandro 2 Calder, Jeff 2 Chen, Geng 2 Cianchi, Andrea 2 Cicalese, Marco 2 Codenotti, Luca 2 Corli, Andrea 2 Delgado, Miguel de Benito 2 Drenska, Nadejda 2 Ducomet, Bernard 2 Feireisl, Eduard 2 Frid, Hermano 2 Friedrich, Manuel 2 Grabovsky, Yury 2 Hattori, Harumi 2 Huang, Aimin 2 Jiménez Bolaños, Silvia 2 Kang, Moon-Jin 2 Kukreja, Vaibhav 2 Lamichhane, Bishnu Prasad 2 LeFloch, Philippe Gerard 2 Maggiani, Giovanni Battista 2 Malaguti, Luisa 2 Maltese, David 2 Mengesha, Tadele 2 Miura, Tatsu-Hiko 2 Neff, Patrizio 2 Neukamm, Stefan 2 Paroni, Roberto 2 Parviainen, Mikko 2 Qin, Yuming 2 Raoult, Annie 2 Ricciotti, Diego 2 Roubíček, Tomáš 2 Ruf, Matthias 2 Schäffner, Mathias 2 Shachar, Asaf 2 Shao, Zhiqiang 2 Solombrino, Francesco 2 Stephan, Ernst Peter 2 Tomassetti, Giuseppe 2 Venkataramani, Shankar C. 2 Wang, Tao 2 Yao, Zhengan 2 Yuan, Hairong 2 Zhang, Linghai 2 Zhang, Qingtian 2 Zhang, Yongqian 1 Acharya, Amit 1 Ancona, Fabio 1 Arroyo, Angel 1 Arroyo, Marino 1 Attouchi, Amal 1 Audoly, Basile 1 Ayuso de Dios, Blanca 1 Beltritti, Gastón 1 Benedetti, Irene 1 Benvenutti, Maicon J. 1 Bianchini, Stefano 1 Bisconti, Luca ...and 174 more Authors
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#### Cited in 77 Serials

 22 Archive for Rational Mechanics and Analysis 17 Journal of Differential Equations 17 Journal of Elasticity 11 SIAM Journal on Mathematical Analysis 8 Journal of Mathematical Analysis and Applications 8 Calculus of Variations and Partial Differential Equations 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Functional Analysis 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 5 Mathematics and Mechanics of Solids 4 Mathematical Methods in the Applied Sciences 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 Journal of Nonlinear Science 4 Journal of Hyperbolic Differential Equations 3 Communications in Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Zeitschrift für Analysis und ihre Anwendungen 3 Physica D 3 Communications in Partial Differential Equations 3 NoDEA. Nonlinear Differential Equations and Applications 3 Journal of Mathematical Fluid Mechanics 3 Communications in Contemporary Mathematics 3 Communications on Pure and Applied Analysis 3 Analysis & PDE 2 Computers & Mathematics with Applications 2 Journal of Mathematical Physics 2 Journal of the Mechanics and Physics of Solids 2 Nonlinearity 2 Mathematische Annalen 2 Transactions of the American Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applications of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Dynamics and Differential Equations 2 Computational Optimization and Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Rocky Mountain Journal of Mathematics 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Proceedings of the American Mathematical Society 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Probability Theory and Related Fields 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Advances in Differential Equations 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of the European Mathematical Society (JEMS) 1 Nonlinear Analysis. Real World Applications 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Systems Science and Complexity 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Advanced Nonlinear Studies 1 Journal of Numerical Mathematics 1 Fixed Point Theory and Applications 1 Boundary Value Problems 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Kinetic and Related Models 1 Science China. Mathematics 1 Communications in Mathematics and Statistics 1 Evolution Equations and Control Theory 1 Nonlinear Analysis. Theory, Methods & Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Cited in 28 Fields

 148 Partial differential equations (35-XX) 97 Mechanics of deformable solids (74-XX) 53 Fluid mechanics (76-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 23 Differential geometry (53-XX) 15 Ordinary differential equations (34-XX) 13 Numerical analysis (65-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Functional analysis (46-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Mechanics of particles and systems (70-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operator theory (47-XX) 5 Biology and other natural sciences (92-XX) 4 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Measure and integration (28-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)