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## Fernández, Luis Alberto

Compute Distance To:
 Author ID: fernandez.luis-alberto Published as: Fernández, Luis A.; Fernández, Luis Alberto; Fernández, L. A. External Links: ResearchGate
 Documents Indexed: 33 Publications since 1989 Reviewing Activity: 77 Reviews
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#### Co-Authors

 6 single-authored 15 Casas, Eduardo 5 Pola, Cecilia 4 Escobedo, Ramón 2 Mateos, Mariano 2 Yong, Jiongmin 2 Zuazua, Enrique 1 Güémez, J. 1 Khapalov, Alexander Yuri 1 Tröltzsch, Fredi
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#### Serials

 2 Applied Mathematics and Optimization 2 Journal of Mathematical Chemistry 2 Discrete and Continuous Dynamical Systems. Series B 1 Computers & Mathematics with Applications 1 European Journal of Physics 1 Journal of Mathematical Analysis and Applications 1 Control and Cybernetics 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Applied Mathematics Letters 1 Revista Matemática de la Universidad Complutense de Madrid 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Journal of Inverse and Ill-Posed Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 International Journal of Applied Mathematics and Computer Science 1 Mathematical Control and Related Fields 1 Boletín de la Sociedad Española de Matemática Aplicada. S$$\vec{\text{e}}$$MA
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#### Fields

 22 Calculus of variations and optimal control; optimization (49-XX) 13 Partial differential equations (35-XX) 5 Systems theory; control (93-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX)

#### Citations contained in zbMATH Open

20 Publications have been cited 136 times in 113 Documents Cited by Year
Distributed control of systems governed by a general class of quasilinear elliptic equations. Zbl 0798.49021
Casa, Eduardo; Fernández, Luis Alberto
1993
A Green’s formula for quasilinear elliptic operators. Zbl 0704.35047
Casas, Eduardo; Fernández, Luis Alberto
1989
Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state. Zbl 0761.49010
Casas, Eduardo; Fernández, Luis Alberto
1993
Approximate controllability for the semilinear heat equation involving gradient terms. Zbl 0952.49003
Fernández, L. A.; Zuazua, E.
1999
Optimal control of quasilinear elliptic equations with non differentiable coefficients at the origin. Zbl 0749.49006
Casas, Eduardo; Fernández, Luis Alberto
1991
Optimal control of quasilinear parabolic equations. Zbl 0833.49002
Casas, Eduardo; Fernández, Luis A.; Yong, Jiongmin
1995
Integral state-constrained optimal control problems for some quasilinear parabolic equations. Zbl 0954.49016
Fernández, Luis A.
2000
Dealing with integral state constraints in boundary control problems of quasilinear elliptic equations. Zbl 0858.49017
Casas, Eduardo; Fernández, Luis A.
1995
Controllability properties for the one-dimensional heat equation under multiplicative or nonnegative additive controls with local mobile support. Zbl 1262.35119
Fernández, Luis Alberto; Khapalov, Alexander Yuri
2012
Optimal control problems for the Gompertz model under the Norton-Simon hypothesis in chemotherapy. Zbl 1418.92053
Fernández, Luis A.; Pola, Cecilia
2019
Corrigendum: Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state. Zbl 0781.49015
Casas, Eduardo; Fernández, Luis Alberto
1993
State constrained optimal control for some quasilinear parabolic equations. Zbl 0933.49015
Fernández, Luis A.
1999
Optimal control of chemical birth and growth processes in a deterministic model. Zbl 1196.92076
Escobedo, Ramón; Fernández, Luis A.
2010
Second-order optimality conditions for semilinear elliptic control problems with constraints on the gradient of the state. Zbl 0947.49019
Casas, E.; Fernández, L. A.; Mateos, M.
1999
Catalog of the optimal controls in cancer chemotherapy for the Gompertz model depending on PK/PD and the integral constraint. Zbl 1302.93122
Fernández, Luis A.; Pola, Cecilia
2014
State-constrained control problems of quasilinear elliptic equations. Zbl 0766.49007
Casas, Eduardo; Fernández, Luis A.
1991
Identification of a quasilinear parabolic equation from final data. Zbl 1006.93015
Fernández, Luis A.; Pola, Cecilia
2001
Classical one-phase Stefan problems for describing polymer crystallization processes. Zbl 1267.35260
Escobedo, Ramón; Fernández, Luis A.
2013
Optimal cooling strategies in polymer crystallization. Zbl 1252.82120
Escobedo, Ramón; Fernández, Luis A.
2012
Relativistic mechanical-thermodynamical formalism – description of inelastic collisions. Zbl 1396.70023
Güémez, J.; Fiolhais, M.; Fernández, L. A.
2016
Optimal control problems for the Gompertz model under the Norton-Simon hypothesis in chemotherapy. Zbl 1418.92053
Fernández, Luis A.; Pola, Cecilia
2019
Relativistic mechanical-thermodynamical formalism – description of inelastic collisions. Zbl 1396.70023
Güémez, J.; Fiolhais, M.; Fernández, L. A.
2016
Catalog of the optimal controls in cancer chemotherapy for the Gompertz model depending on PK/PD and the integral constraint. Zbl 1302.93122
Fernández, Luis A.; Pola, Cecilia
2014
Classical one-phase Stefan problems for describing polymer crystallization processes. Zbl 1267.35260
Escobedo, Ramón; Fernández, Luis A.
2013
Controllability properties for the one-dimensional heat equation under multiplicative or nonnegative additive controls with local mobile support. Zbl 1262.35119
Fernández, Luis Alberto; Khapalov, Alexander Yuri
2012
Optimal cooling strategies in polymer crystallization. Zbl 1252.82120
Escobedo, Ramón; Fernández, Luis A.
2012
Optimal control of chemical birth and growth processes in a deterministic model. Zbl 1196.92076
Escobedo, Ramón; Fernández, Luis A.
2010
Identification of a quasilinear parabolic equation from final data. Zbl 1006.93015
Fernández, Luis A.; Pola, Cecilia
2001
Integral state-constrained optimal control problems for some quasilinear parabolic equations. Zbl 0954.49016
Fernández, Luis A.
2000
Approximate controllability for the semilinear heat equation involving gradient terms. Zbl 0952.49003
Fernández, L. A.; Zuazua, E.
1999
State constrained optimal control for some quasilinear parabolic equations. Zbl 0933.49015
Fernández, Luis A.
1999
Second-order optimality conditions for semilinear elliptic control problems with constraints on the gradient of the state. Zbl 0947.49019
Casas, E.; Fernández, L. A.; Mateos, M.
1999
Optimal control of quasilinear parabolic equations. Zbl 0833.49002
Casas, Eduardo; Fernández, Luis A.; Yong, Jiongmin
1995
Dealing with integral state constraints in boundary control problems of quasilinear elliptic equations. Zbl 0858.49017
Casas, Eduardo; Fernández, Luis A.
1995
Distributed control of systems governed by a general class of quasilinear elliptic equations. Zbl 0798.49021
Casa, Eduardo; Fernández, Luis Alberto
1993
Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state. Zbl 0761.49010
Casas, Eduardo; Fernández, Luis Alberto
1993
Corrigendum: Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state. Zbl 0781.49015
Casas, Eduardo; Fernández, Luis Alberto
1993
Optimal control of quasilinear elliptic equations with non differentiable coefficients at the origin. Zbl 0749.49006
Casas, Eduardo; Fernández, Luis Alberto
1991
State-constrained control problems of quasilinear elliptic equations. Zbl 0766.49007
Casas, Eduardo; Fernández, Luis A.
1991
A Green’s formula for quasilinear elliptic operators. Zbl 0704.35047
Casas, Eduardo; Fernández, Luis Alberto
1989
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#### Cited by 145 Authors

 8 Casas, Eduardo 6 Kupenko, Olha P. 6 Tanaka, Mieko 5 Fernández, Luis Alberto 5 Manzo, Rosanna 5 Papageorgiou, Nikolaos S. 5 Wollner, Winnifried 5 Ye, Yuquan 4 Chen, Qihong 4 Motreanu, Dumitru 3 Barbu, Luminiţa 3 De los Reyes, Juan Carlos 3 Hinze, Michael 3 Kogut, Peter I. 3 Ledzewicz, Urszula 3 Moroşanu, Gheorghe 3 Ryu, Sang-Uk 3 Schättler, Heinz Michael 2 Belmonte-Beitia, Juan 2 Chan, Chi Kin 2 Deckelnick, Klaus 2 Escobedo, Ramón 2 Guerra, Telma 2 Günther, Andreas 2 Klimczak, Liliana 2 Leung, Bartholomew P. K. 2 Ouzahra, Mohamed 2 Rădulescu, Vicenţiu D. 2 Sequeira, Adélia 2 Sokołowski, Jan 2 Tiago, Jorge 2 Vexler, Boris 2 Wang, Gengsheng 2 Wang, Lianwen 2 Wang, Weifeng 2 Yagi, Atsushi 2 Yong, Jiongmin 2 Zuazua, Enrique 1 Abergel, Frédéric 1 Ahmad Ali, Ahmad 1 Arada, Nadir 1 Barletta, Giuseppina 1 Bednarczuk, Ewa M. 1 Bergounioux, Maïtine 1 Bonifacius, Lucas 1 Brenner, Susanne Cecelia 1 Cannarsa, Piermarco 1 Catarino, Catarina 1 Chen, Shuping 1 Chen, Yanping 1 Chowdhury, Shirshendu 1 Christof, Constantin 1 Chrysafinos, Konstantinos 1 Chu, Delin 1 Clark, Marcondes Rodrigues 1 Dautov, Rafail Z. 1 De Jesus, Isaías Pereira 1 De Menezes, Silvano Bezerra 1 de Teresa, Luz 1 Demir, Ali 1 Dhamo, Vili 1 Druet, Pierre-Étienne 1 Durante, Tiziana 1 Erdem, Arzu 1 Fattorini, Hector O. 1 Feng, Enmin 1 Fernández-Cara, Enrique 1 Floridia, Giuseppe 1 Gagnon, Ludovick 1 Gao, Hang 1 Gasiński, Leszek 1 González Andrade, Sergio 1 González-Burgos, Manuel 1 Grüne, Lars 1 Guerrero, Sergio 1 Guo, Zongming 1 Heida, Martin 1 Hernández-Santamaría, Víctor 1 Hoffmann, Karl-Heinz 1 Khapalov, Alexander Yuri 1 Kornhuber, Ralf 1 Kubo, Masahiro 1 Kunisch, Karl 1 Kupenko, Ol’ga P. 1 Lapin, Aleksandr Vasil’evich 1 Lass, Oliver 1 Leszczynski, Maciej 1 Leugering, Günter 1 Li, Chunfa 1 Li, Lingfei 1 Limaco, Juan 1 Lohéac, Jérôme 1 Looker, Jason R. 1 Lou, Hongwei 1 Ludovici, Francesco 1 Marano, Salvatore Angelo 1 Mateos, Mariano 1 Maurer, Helmut 1 Medeiros, Luis Adauto da Justa 1 Mestre, Tânia ...and 45 more Authors
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#### Cited in 62 Serials

 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal of Mathematical Analysis and Applications 5 Computational Optimization and Applications 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Applied Mathematics and Computation 4 Journal of Optimization Theory and Applications 4 SIAM Journal on Control and Optimization 4 Mathematical Control and Related Fields 3 Applied Mathematics and Optimization 3 Journal of Differential Equations 3 Numerical Functional Analysis and Optimization 3 Numerische Mathematik 3 Discrete and Continuous Dynamical Systems. Series B 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Ricerche di Matematica 2 Zeitschrift für Analysis und ihre Anwendungen 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Calculus of Variations and Partial Differential Equations 2 European Journal of Control 2 Nonlinear Analysis. Real World Applications 1 Bulletin of the Australian Mathematical Society 1 Computers & Mathematics with Applications 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Anais da Academia Brasileira de Ciências 1 Journal of Functional Analysis 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Journal of Global Optimization 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Acta Mathematica Sinica. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 NoDEA. Nonlinear Differential Equations and Applications 1 Opuscula Mathematica 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Mathematical Problems in Engineering 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Positivity 1 Journal of Inequalities and Applications 1 Lobachevskii Journal of Mathematics 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics 1 Multiscale Modeling & Simulation 1 Science in China. Series F 1 Boundary Value Problems 1 Complex Variables and Elliptic Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Mathematical Modelling of Natural Phenomena 1 International Journal of Biomathematics 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 Evolution Equations and Control Theory
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#### Cited in 15 Fields

 70 Partial differential equations (35-XX) 70 Calculus of variations and optimal control; optimization (49-XX) 27 Systems theory; control (93-XX) 13 Operator theory (47-XX) 13 Numerical analysis (65-XX) 11 Fluid mechanics (76-XX) 8 Operations research, mathematical programming (90-XX) 8 Biology and other natural sciences (92-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Ordinary differential equations (34-XX) 2 Mechanics of deformable solids (74-XX) 1 History and biography (01-XX) 1 Differential geometry (53-XX)