Edit Profile (opens in new tab) Pedregal, Pablo Compute Distance To: Compute Author ID: pedregal.pablo Published as: Pedregal, Pablo; Pedregal, P.; Pedegral, Pablo more...less Documents Indexed: 143 Publications since 1989, including 6 Books Co-Authors: 37 Co-Authors with 75 Joint Publications 842 Co-Co-Authors all top 5 Co-Authors 67 single-authored 11 Münch, Arnaud 9 Periago, Francisco 8 Kinderlehrer, David 6 Aranda, Ernesto 6 Bellido, José Carlos 5 Amat, Sergio P. 5 Maestre, Faustino 5 Muñoz, Julio 3 Bandeira, Luís 3 Donoso, Alberto 3 Fonseca, Irene 3 Meziat, René J. 3 Serrano, Hélia 2 Castillo, Enrique F. 2 Egozcue, Juan José 2 Font, Roberto 2 Legaz, María José 2 Martínez-Frutos, Jesús 2 Mora-Corral, Carlos 2 Ortigosa, Rogelio 2 Šverák, Vladimír 2 Tiago, Jorge 2 Yan, Baisheng 1 Alguacil, Natalia 1 Bevan, Jonathan J. 1 Boussaid, Omar 1 Conejo, Antonio J. 1 García, Ricardo 1 Lemoine, Jérôme 1 López, David J. 1 Luceño, Alberto 1 Monleón Pradas, Manuel 1 Müller, Stefan 1 Owen, David R. 1 Patiño, Diego 1 Villena, Jorge Fernández 1 Zhang, Yuan all top 5 Serials 8 Archive for Rational Mechanics and Analysis 7 SIAM Journal on Mathematical Analysis 5 Numerical Functional Analysis and Optimization 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Calculus of Variations and Partial Differential Equations 5 Journal of Convex Analysis 4 Applied Mathematics and Optimization 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Control and Optimization 4 Discrete and Continuous Dynamical Systems 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Journal of the Franklin Institute 3 Quarterly of Applied Mathematics 3 S\(\vec{\text{e}}\)MA Journal 2 Inverse Problems 2 Numerische Mathematik 2 European Journal of Applied Mathematics 2 Differential and Integral Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Revista Matemática Complutense 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Milan Journal of Mathematics 2 Analysis and Applications (Singapore) 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 2 Nonlinear Analysis. Theory, Methods & Applications 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Meccanica 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Optimization 1 Revista de Matemáticas Aplicadas 1 Asymptotic Analysis 1 The Journal of Geometric Analysis 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Journal of Nonlinear Science 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Journal of Mathematical Fluid Mechanics 1 Interfaces and Free Boundaries 1 Nonlinear Analysis. Real World Applications 1 Dynamical Systems 1 Journal of Applied Mathematics 1 RACSAM. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas 1 Structural and Multidisciplinary Optimization 1 Texts in Applied Mathematics 1 Unitext 1 International Journal of Mathematical Analysis (Ruse) 1 Advances in Calculus of Variations 1 SEMA SIMAI Springer Series 1 Journal of Elliptic and Parabolic Equations 1 Progress in Nonlinear Differential Equations and Their Applications 1 Pure and Applied Mathematics. A Wiley-Interscience Series of Texts, Monographs and Tracts all top 5 Fields 102 Calculus of variations and optimal control; optimization (49-XX) 47 Mechanics of deformable solids (74-XX) 36 Partial differential equations (35-XX) 20 Numerical analysis (65-XX) 11 Systems theory; control (93-XX) 8 Ordinary differential equations (34-XX) 7 Functional analysis (46-XX) 7 Operations research, mathematical programming (90-XX) 6 Optics, electromagnetic theory (78-XX) 5 Operator theory (47-XX) 5 Fluid mechanics (76-XX) 4 Real functions (26-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 1,110 times in 600 Documents Cited by ▼ Year ▼ Parametrized measures and variational principles. Zbl 0879.49017Pedregal, Pablo 188 1997 Characterizations of Young measures generated by gradients. Zbl 0754.49020Kinderlehrer, David; Pedregal, Pablo 125 1991 Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046Kinderlehrer, David; Pedregal, Pablo 93 1994 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 71 1998 Weak convergence of integrands and the Young measure representation. Zbl 0757.49014Kinderlehrer, David; Pedregal, Pablo 47 1992 Laminates and microstructure. Zbl 0779.73050Pedregal, Pablo 27 1993 Variational methods in nonlinear elasticity. Zbl 0941.74002Pedregal, Pablo 25 2000 Hyperelasticity as a \(\Gamma\)-limit of peridynamics when the horizon goes to zero. Zbl 1327.74031Bellido, José C.; Mora-Corral, Carlos; Pedregal, Pablo 23 2015 Optimal design of the damping set for the stabilization of the wave equation. Zbl 1105.49005Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 21 2006 Relaxation in ferromagnetism: The rigid case. Zbl 0790.46061Pedregal, P. 17 1994 Numerical null controllability of the heat equation through a least squares and variational approach. Zbl 1301.80002Münch, Arnaud; Pedregal, Pablo 17 2014 Optimization, relaxation and Young measures. Zbl 0916.49011Pedregal, Pablo 16 1999 Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 14 1994 Nonlocal variational principles. Zbl 0918.49013Pedregal, Pablo 14 1997 On the numerical analysis of non-convex variational problems. Zbl 0858.65059Pedregal, Pablo 13 1996 Vector variational problems and applications to optimal design. Zbl 1089.49022Pedregal, Pablo 13 2005 Introduction to optimization. Zbl 1036.90002Pedregal, Pablo 13 2004 Numerical approximation of parametrized measures. Zbl 0848.65049Pedregal, Pablo 12 1995 Jensen’s inequality in the calculus of variations. Zbl 0810.49013Pedregal, Pablo 11 1994 A spatio-temporal design problem for a damped wave equation. Zbl 1147.35052Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo 10 2007 Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design. Zbl 0980.49021Pedregal, Pablo 10 2001 Explicit quasiconvexification for some cost functionals depending on derivatives of the state in optimal designing. Zbl 1035.49008Bellido, José C.; Pedregal, Pablo 10 2002 Building and solving mathematical programming models in engineering and science. Zbl 1029.90001Castillo, Enrique; Conejo, Antonio J.; Pedregal, Pablo; Garciá, Ricardo; Alguacil, Natalia 9 2002 Constrained quasiconvexification of the square of the gradient of the state in optimal design. Zbl 1086.49013Pedregal, Pablo 9 2004 Multi-scale Young measures. Zbl 1091.49014Pedregal, Pablo 9 2006 A duality method for micromagnetics. Zbl 1203.49052Pedregal, Pablo; Yan, Baisheng 9 2010 Optimal design of 2D conducting graded materials by minimizing quadratic functionals in the field. Zbl 1243.74142Donoso Bellón, Alberto; Pedregal, Pablo 9 2005 Optimal design and constrained quasiconvexity. Zbl 0995.49004Pedregal, Pablo 9 2000 On the computation of the rank-one convex hull of a function. Zbl 0989.49015Aranda, Ernesto; Pedregal, Pablo 9 2001 An alternative approach for nonlinear optimal control problems based on the method of moments. Zbl 1171.49302Meziat, René; Patiño, Diego; Pedregal, Pablo 8 2007 Existence results for optimal control problems with some special nonlinear dependence on state and control. Zbl 1194.49004Pedregal, Pablo; Tiago, Jorge 8 2009 \(\Gamma\)-convergence through Young measures. Zbl 1077.49012Pedregal, Pablo 8 2004 A variational approach to implicit ODEs and differential inclusions. Zbl 1172.34002Amat, Sergio; Pedregal, Pablo 8 2009 Weak continuity and weak lower semicontinuity for some compensation operators. Zbl 0702.35054Pedregal, Pablo 8 1989 Relaxation of an optimal design problem for the heat equation. Zbl 1147.35015Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 7 2008 A note on quasiconvexity and rank-one convexity for \(2\times 2\) matrices. Zbl 0918.49012Pedregal, Pablo; Šverák, Vladimír 7 1998 Optimal design in two-dimensional conductivity for a general cost depending on the field. Zbl 1104.74052Pedregal, Pablo 7 2006 Optimal design via variational principles: The one-dimensional case. Zbl 0985.49006Bellido, José Carlos; Pedregal, Pablo 7 2001 div-curl Young measures and optimal design in any dimension. Zbl 1140.49010Pedregal, Pablo 7 2007 On the relaxation of an optimal design problem for plates. Zbl 0943.74048Muñoz, Julio; Pedregal, Pablo 6 1998 A least-squares formulation for the approximation of null controls for the Stokes system. Zbl 1273.93028Münch, Arnaud; Pedregal, Pablo 6 2013 A refinement on existence results in nonconvex optimal control. Zbl 1019.49003Muñoz, Julio; Pedregal, Pablo 6 2001 Constrained envelope for a general class of design problems. Zbl 1062.49011Aranda, Ernesto; Pedregal, Pablo 6 2003 Some remarks on quasiconvexity and rank-one convexity. Zbl 0867.49012Pedregal, Pablo 6 1996 From a nonlinear, nonconvex variational problem to a linear, convex formulation. Zbl 1013.49007Egozcue, Juan José; Meziat, René; Pedregal, Pablo 6 2002 A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals. Zbl 1107.49014Bevan, Jonathan; Pedregal, Pablo 6 2006 Relaxation of an optimal design problem in fracture mechanic: the anti-plane case. Zbl 1221.49074Münch, Arnaud; Pedregal, Pablo 6 2010 Weak lower semicontinuity and relaxation for a class of non-local functionals. Zbl 1348.49010Pedregal, Pablo 6 2016 Remarks about the analysis of gradient Young measures. Zbl 0833.49012Kinderlehrer, David; Pedregal, P. 5 1992 Optimal design via variational principles: The three-dimensional case. Zbl 1038.49020Bellido, José Carlos; Pedregal, Pablo 5 2003 Analysis of continuous \(H^{-1}\)-least-squares methods for the steady Navier-Stokes system. Zbl 1464.35184Lemoine, Jérome; Münch, Arnaud; Pedregal, Pablo 5 2021 Optimal internal stabilization of the linear system of elasticity. Zbl 1169.74008Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 4 2009 Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 4 1993 A numerical method of local energy decay for the boundary controllability of time-reversible distributed parameter systems. Zbl 1190.65087Pedregal, Pablo; Periago, Francisco; Villena, Jorge 4 2008 Equilibrium conditions for Young measures. Zbl 0920.49014Pedregal, Pablo 4 1998 A variational perspective on controllability. Zbl 1189.93023Pedregal, Pablo 4 2010 On the generality of variational principles. Zbl 1225.49003Pedregal, Pablo 4 2003 A variational approach for the Navier-Stokes system. Zbl 1294.35072Pedregal, Pablo 4 2012 Composition functionals in calculus of variations, application to products and quotients. Zbl 1143.49016Castillo, Enrique; Luceño, Alberto; Pedregal, Pablo 3 2008 Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005Kinderlehrer, David; Pedregal, Pablo 3 1991 Numerical approximation of non-homogeneous, non-convex vector variational problems. Zbl 1008.65042Aranda, Ernesto; Pedegral, Pablo 3 2001 Existence in optimal control with state equation in divergence form via variational principles. Zbl 1084.49004Bellido, José Carlos; Pedregal, Pablo 3 2003 Dynamic materials for an optimal design problem under the two-dimensional wave equation. Zbl 1158.49019Maestre, Faustino; Pedregal, Pablo 3 2009 Quasiconvexification of sets in optimal design. Zbl 1156.49012Boussaid, Omar; Pedregal, Pablo 3 2009 Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity. Zbl 1091.49013Maestre, Faustino; Pedregal, Pablo 3 2006 On a variational approach for the analysis and numerical simulation of ODEs. Zbl 1264.65101Amat, Sergio; Pedregal, Pablo 3 2013 A review of an optimal design problem for a plate of variable thickness. Zbl 1354.74200Muñoz, Julio; Pedregal, Pablo 3 2007 Some non-linear systems of PDEs related to inverse problems in conductivity. Zbl 1472.35008Maestre, Faustino; Pedregal, Pablo 3 2021 Explicit solutions of nonconvex variational problems in dimension one. Zbl 0949.49019Muñoz, J.; Pedregal, P. 2 2000 Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031Kinderlehrer, David; Pedregal, P. 2 1994 Some remarks on homogenization and exact boundary controllability for the one-dimensional wave equation. Zbl 1114.35013Pedregal, Pablo; Periago, Francisco 2 2006 The method of moments for nonconvex variational problems. Zbl 1002.49019Meziat, René; Egozcue, Juan José; Pedregal, Pablo 2 2001 Optimal design in conductivity under locally constrained heat flux. Zbl 1245.74066Bellido, Jose Carlos; Donoso, Alberto; Pedregal, Pablo 2 2010 \(\varGamma \)-convergence of quadratic functionals with oscillating linear perturbations. Zbl 1180.35080Pedregal, Pablo; Serrano, Hélia 2 2009 From micro to macroenergy through Young measures. Zbl 1106.74051Pedregal, Pablo 2 2005 An optimization approach for the numerical approximation of differential equations. Zbl 1287.49034Amat, Sergio; López, David J.; Pedregal, Pablo 2 2014 Homogenization of periodic composite power-law materials through Young measures. Zbl 1431.74101Pedregal, Pablo; Serrano, Helia 2 2006 A variational approach to dynamical systems and its numerical simulation. Zbl 1211.34006Pedregal, Pablo 2 2010 Constrained quasiconvexity and structural optimization. Zbl 0970.74053Pedregal, Pablo 2 2000 On a generalization of compact operators and its application to the existence of critical points without convexity. Zbl 1244.49027Pedregal, Pablo 2 2010 Optimal design through the sub-relaxation method. Understanding the basic principles. Zbl 1355.74001Pedregal, Pablo 2 2016 Direct numerical algorithm for constrained variational problems. Zbl 1375.49047Pedregal, Pablo 2 2017 On error functionals. Zbl 1306.49021Pedregal, Pablo 2 2014 Optimal design in 2-D conductivity for quadratic functionals in the field. Zbl 1320.78013Pedregal, P. 2 2005 On two-dimensional ferromagnetism. Zbl 1177.82123Pedregal, Pablo; Yan, Baisheng 2 2009 Optimal design under the one-dimensional wave equation. Zbl 1231.49002Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo 1 2008 Relaxation in magnetostriction. Zbl 0951.49020Pedregal, Pablo 1 2000 The concept of a laminate. Zbl 0797.73052Pedregal, Pablo 1 1993 An elementary proof of the fundamental property of a perfect gas. Zbl 0913.76077Owen, David R.; Pedregal, Pablo 1 1998 On a Newton-type method for differential-algebraic equations. Zbl 1268.65105Amat, S.; Légaz, M. J.; Pedregal, P. 1 2012 Optimal design of a plate of variable thickness: a variational approach in dimension one. Zbl 1213.49004Pedregal, Pablo; Donoso, Alberto 1 2003 The fundamental property of a perfect gas and the second law of thermodynamics. Zbl 0882.76075Monleón Pradas, Manuel; Pedregal, Pablo 1 1996 Young measures associated with homogenization. Zbl 1096.49008Pedregal, Pablo 1 2006 A variational approach to a shape design problem for the wave equation. Zbl 1134.49027Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 1 2006 Surprising effects associated with homogenization. Zbl 1242.74086Pedregal, Pablo 1 2009 Variational methods for non-variational problems. Zbl 1387.49004Pedregal, Pablo 1 2017 What does rank-one convexity have to do with viscosity solutions? Zbl 1412.35066Pedregal, Pablo 1 2018 New existence result for autonomous one-dimensional optimal control problems. Zbl 1293.49003Pedregal, P.; Tiago, J. 1 2007 About least-squares type approach to address direct and controllability problems. Zbl 1425.65076Münch, Arnaud; Pedregal, Pablo 1 2018 Weak limits in nonlinear conductivity. Zbl 1326.35166Pedregal, Pablo 1 2015 On a new type of boundary condition. Zbl 1480.35138Pedregal, Pablo 1 2022 Analysis of continuous \(H^{-1}\)-least-squares methods for the steady Navier-Stokes system. Zbl 1464.35184Lemoine, Jérome; Münch, Arnaud; Pedregal, Pablo 5 2021 Some non-linear systems of PDEs related to inverse problems in conductivity. Zbl 1472.35008Maestre, Faustino; Pedregal, Pablo 3 2021 Inverse quasiconvexification. Zbl 1475.49043Pedregal, Pablo 1 2021 Robust optimal control of stochastic hyperelastic materials. Zbl 1481.49039Martínez-Frutos, J.; Ortigosa, R.; Pedregal, P.; Periago, F. 1 2020 What does rank-one convexity have to do with viscosity solutions? Zbl 1412.35066Pedregal, Pablo 1 2018 About least-squares type approach to address direct and controllability problems. Zbl 1425.65076Münch, Arnaud; Pedregal, Pablo 1 2018 Some numerical tests for an alternative approach to optimal feedback control. Zbl 1398.93122Font, Roberto; Pedregal, Pablo 1 2018 Direct numerical algorithm for constrained variational problems. Zbl 1375.49047Pedregal, Pablo 2 2017 Variational methods for non-variational problems. Zbl 1387.49004Pedregal, Pablo 1 2017 Optimal feedback control, linear first-order PDE systems, and obstacle problems. Zbl 1364.93304Pedregal, Pablo 1 2017 Weak lower semicontinuity and relaxation for a class of non-local functionals. Zbl 1348.49010Pedregal, Pablo 6 2016 Optimal design through the sub-relaxation method. Understanding the basic principles. Zbl 1355.74001Pedregal, Pablo 2 2016 Hyperelasticity as a \(\Gamma\)-limit of peridynamics when the horizon goes to zero. Zbl 1327.74031Bellido, José C.; Mora-Corral, Carlos; Pedregal, Pablo 23 2015 Weak limits in nonlinear conductivity. Zbl 1326.35166Pedregal, Pablo 1 2015 Numerical null controllability of the heat equation through a least squares and variational approach. Zbl 1301.80002Münch, Arnaud; Pedregal, Pablo 17 2014 An optimization approach for the numerical approximation of differential equations. Zbl 1287.49034Amat, Sergio; López, David J.; Pedregal, Pablo 2 2014 On error functionals. Zbl 1306.49021Pedregal, Pablo 2 2014 A least-squares formulation for the approximation of null controls for the Stokes system. Zbl 1273.93028Münch, Arnaud; Pedregal, Pablo 6 2013 On a variational approach for the analysis and numerical simulation of ODEs. Zbl 1264.65101Amat, Sergio; Pedregal, Pablo 3 2013 A variational approach for the Navier-Stokes system. Zbl 1294.35072Pedregal, Pablo 4 2012 On a Newton-type method for differential-algebraic equations. Zbl 1268.65105Amat, S.; Légaz, M. J.; Pedregal, P. 1 2012 A duality method for micromagnetics. Zbl 1203.49052Pedregal, Pablo; Yan, Baisheng 9 2010 Relaxation of an optimal design problem in fracture mechanic: the anti-plane case. Zbl 1221.49074Münch, Arnaud; Pedregal, Pablo 6 2010 A variational perspective on controllability. Zbl 1189.93023Pedregal, Pablo 4 2010 Optimal design in conductivity under locally constrained heat flux. Zbl 1245.74066Bellido, Jose Carlos; Donoso, Alberto; Pedregal, Pablo 2 2010 A variational approach to dynamical systems and its numerical simulation. Zbl 1211.34006Pedregal, Pablo 2 2010 On a generalization of compact operators and its application to the existence of critical points without convexity. Zbl 1244.49027Pedregal, Pablo 2 2010 Existence results for optimal control problems with some special nonlinear dependence on state and control. Zbl 1194.49004Pedregal, Pablo; Tiago, Jorge 8 2009 A variational approach to implicit ODEs and differential inclusions. Zbl 1172.34002Amat, Sergio; Pedregal, Pablo 8 2009 Optimal internal stabilization of the linear system of elasticity. Zbl 1169.74008Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 4 2009 Dynamic materials for an optimal design problem under the two-dimensional wave equation. Zbl 1158.49019Maestre, Faustino; Pedregal, Pablo 3 2009 Quasiconvexification of sets in optimal design. Zbl 1156.49012Boussaid, Omar; Pedregal, Pablo 3 2009 \(\varGamma \)-convergence of quadratic functionals with oscillating linear perturbations. Zbl 1180.35080Pedregal, Pablo; Serrano, Hélia 2 2009 On two-dimensional ferromagnetism. Zbl 1177.82123Pedregal, Pablo; Yan, Baisheng 2 2009 Surprising effects associated with homogenization. Zbl 1242.74086Pedregal, Pablo 1 2009 Finding new families of rank-one convex polynomials. Zbl 1184.26005Bandeira, Luís; Pedregal, Pablo 1 2009 Relaxation of an optimal design problem for the heat equation. Zbl 1147.35015Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 7 2008 A numerical method of local energy decay for the boundary controllability of time-reversible distributed parameter systems. Zbl 1190.65087Pedregal, Pablo; Periago, Francisco; Villena, Jorge 4 2008 Composition functionals in calculus of variations, application to products and quotients. Zbl 1143.49016Castillo, Enrique; Luceño, Alberto; Pedregal, Pablo 3 2008 Optimal design under the one-dimensional wave equation. Zbl 1231.49002Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo 1 2008 A spatio-temporal design problem for a damped wave equation. Zbl 1147.35052Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo 10 2007 An alternative approach for nonlinear optimal control problems based on the method of moments. Zbl 1171.49302Meziat, René; Patiño, Diego; Pedregal, Pablo 8 2007 div-curl Young measures and optimal design in any dimension. Zbl 1140.49010Pedregal, Pablo 7 2007 A review of an optimal design problem for a plate of variable thickness. Zbl 1354.74200Muñoz, Julio; Pedregal, Pablo 3 2007 New existence result for autonomous one-dimensional optimal control problems. Zbl 1293.49003Pedregal, P.; Tiago, J. 1 2007 Optimal design of the damping set for the stabilization of the wave equation. Zbl 1105.49005Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 21 2006 Multi-scale Young measures. Zbl 1091.49014Pedregal, Pablo 9 2006 Optimal design in two-dimensional conductivity for a general cost depending on the field. Zbl 1104.74052Pedregal, Pablo 7 2006 A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals. Zbl 1107.49014Bevan, Jonathan; Pedregal, Pablo 6 2006 Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity. Zbl 1091.49013Maestre, Faustino; Pedregal, Pablo 3 2006 Some remarks on homogenization and exact boundary controllability for the one-dimensional wave equation. Zbl 1114.35013Pedregal, Pablo; Periago, Francisco 2 2006 Homogenization of periodic composite power-law materials through Young measures. Zbl 1431.74101Pedregal, Pablo; Serrano, Helia 2 2006 Young measures associated with homogenization. Zbl 1096.49008Pedregal, Pablo 1 2006 A variational approach to a shape design problem for the wave equation. Zbl 1134.49027Münch, Arnaud; Pedregal, Pablo; Periago, Francisco 1 2006 Vector variational problems and applications to optimal design. Zbl 1089.49022Pedregal, Pablo 13 2005 Optimal design of 2D conducting graded materials by minimizing quadratic functionals in the field. Zbl 1243.74142Donoso Bellón, Alberto; Pedregal, Pablo 9 2005 From micro to macroenergy through Young measures. Zbl 1106.74051Pedregal, Pablo 2 2005 Optimal design in 2-D conductivity for quadratic functionals in the field. Zbl 1320.78013Pedregal, P. 2 2005 Introduction to optimization. Zbl 1036.90002Pedregal, Pablo 13 2004 Constrained quasiconvexification of the square of the gradient of the state in optimal design. Zbl 1086.49013Pedregal, Pablo 9 2004 \(\Gamma\)-convergence through Young measures. Zbl 1077.49012Pedregal, Pablo 8 2004 Constrained envelope for a general class of design problems. Zbl 1062.49011Aranda, Ernesto; Pedregal, Pablo 6 2003 Optimal design via variational principles: The three-dimensional case. Zbl 1038.49020Bellido, José Carlos; Pedregal, Pablo 5 2003 On the generality of variational principles. Zbl 1225.49003Pedregal, Pablo 4 2003 Existence in optimal control with state equation in divergence form via variational principles. Zbl 1084.49004Bellido, José Carlos; Pedregal, Pablo 3 2003 Optimal design of a plate of variable thickness: a variational approach in dimension one. Zbl 1213.49004Pedregal, Pablo; Donoso, Alberto 1 2003 Explicit quasiconvexification for some cost functionals depending on derivatives of the state in optimal designing. Zbl 1035.49008Bellido, José C.; Pedregal, Pablo 10 2002 Building and solving mathematical programming models in engineering and science. Zbl 1029.90001Castillo, Enrique; Conejo, Antonio J.; Pedregal, Pablo; Garciá, Ricardo; Alguacil, Natalia 9 2002 From a nonlinear, nonconvex variational problem to a linear, convex formulation. Zbl 1013.49007Egozcue, Juan José; Meziat, René; Pedregal, Pablo 6 2002 Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design. Zbl 0980.49021Pedregal, Pablo 10 2001 On the computation of the rank-one convex hull of a function. Zbl 0989.49015Aranda, Ernesto; Pedregal, Pablo 9 2001 Optimal design via variational principles: The one-dimensional case. Zbl 0985.49006Bellido, José Carlos; Pedregal, Pablo 7 2001 A refinement on existence results in nonconvex optimal control. Zbl 1019.49003Muñoz, Julio; Pedregal, Pablo 6 2001 Numerical approximation of non-homogeneous, non-convex vector variational problems. Zbl 1008.65042Aranda, Ernesto; Pedegral, Pablo 3 2001 The method of moments for nonconvex variational problems. Zbl 1002.49019Meziat, René; Egozcue, Juan José; Pedregal, Pablo 2 2001 Variational methods in nonlinear elasticity. Zbl 0941.74002Pedregal, Pablo 25 2000 Optimal design and constrained quasiconvexity. Zbl 0995.49004Pedregal, Pablo 9 2000 Explicit solutions of nonconvex variational problems in dimension one. Zbl 0949.49019Muñoz, J.; Pedregal, P. 2 2000 Constrained quasiconvexity and structural optimization. Zbl 0970.74053Pedregal, Pablo 2 2000 Relaxation in magnetostriction. Zbl 0951.49020Pedregal, Pablo 1 2000 Optimization, relaxation and Young measures. Zbl 0916.49011Pedregal, Pablo 16 1999 Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009Fonseca, Irene; Müller, Stefan; Pedregal, Pablo 71 1998 A note on quasiconvexity and rank-one convexity for \(2\times 2\) matrices. Zbl 0918.49012Pedregal, Pablo; Šverák, Vladimír 7 1998 On the relaxation of an optimal design problem for plates. Zbl 0943.74048Muñoz, Julio; Pedregal, Pablo 6 1998 Equilibrium conditions for Young measures. Zbl 0920.49014Pedregal, Pablo 4 1998 An elementary proof of the fundamental property of a perfect gas. Zbl 0913.76077Owen, David R.; Pedregal, Pablo 1 1998 Parametrized measures and variational principles. Zbl 0879.49017Pedregal, Pablo 188 1997 Nonlocal variational principles. Zbl 0918.49013Pedregal, Pablo 14 1997 On the numerical analysis of non-convex variational problems. Zbl 0858.65059Pedregal, Pablo 13 1996 Some remarks on quasiconvexity and rank-one convexity. Zbl 0867.49012Pedregal, Pablo 6 1996 The fundamental property of a perfect gas and the second law of thermodynamics. Zbl 0882.76075Monleón Pradas, Manuel; Pedregal, Pablo 1 1996 Numerical approximation of parametrized measures. Zbl 0848.65049Pedregal, Pablo 12 1995 Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046Kinderlehrer, David; Pedregal, Pablo 93 1994 Relaxation in ferromagnetism: The rigid case. Zbl 0790.46061Pedregal, P. 17 1994 Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 14 1994 Jensen’s inequality in the calculus of variations. Zbl 0810.49013Pedregal, Pablo 11 1994 Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031Kinderlehrer, David; Pedregal, P. 2 1994 Laminates and microstructure. Zbl 0779.73050Pedregal, Pablo 27 1993 Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo 4 1993 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 608 Authors 65 Pedregal, Pablo 25 Münch, Arnaud 23 Kružík, Martin 15 Periago, Francisco 13 Bellido, José Carlos 13 Feireisl, Eduard 12 Roubíček, Tomáš 11 Yan, Baisheng 10 Carstensen, Carsten 10 Zhang, Kewei 9 Krömer, Stefan 9 Sychev, Mikhail A. 9 Zappale, Elvira 8 Benešová, Barbora 8 Fonseca, Irene 8 Kristensen, Jan 8 Li, Zhiping 8 Mora-Corral, Carlos 8 Rindler, Filip 8 Serrano, Hélia 8 Székelyhidi, László jun. 7 Gwiazda, Piotr 7 Müller, Stefan 6 Allaire, Grégoire 6 Bhattacharya, Kaushik 6 Braides, Andrea 6 Faraco, Daniel 6 Meziat, René J. 6 Muñoz, Julio 5 DeSimone, Antonio 5 Grabovsky, Yury 5 Katzourakis, Nikolaos I. 5 Leugering, Günter 5 Lipton, Robert P. 5 Michaille, Gérard 5 Nečasová, Šárka 5 Ortiz, Michael 4 Ansini, Nadia 4 Aranda, Ernesto 4 Babadjian, Jean-François 4 Castillo, Enrique F. 4 Colucci, Renato 4 Ducomet, Bernard 4 James, Richard D. 4 Kałamajska, Agnieszka 4 Kinderlehrer, David 4 Kirchheim, Bernd 4 Lemoine, Jérôme 4 Leoni, Giovanni 4 Lukáčová-Medvid’ová, Mária 4 Luskin, Mitchell 4 Mengesha, Tadele 4 Mielke, Alexander 4 Mizerová, Hana 4 Patiño, Diego 4 Porretta, Alessio 4 Puchała, Piotr 4 Sokołowski, Jan 4 Šverák, Vladimír 4 Velčić, Igor 4 Wiedemann, Emil 3 Amat, Sergio P. 3 Azroul, Elhoussine 3 Baía, Margarida 3 Barchiesi, Marco 3 Caraballo Garrido, Tomás 3 Chlebicka, Iwona 3 Conejo, Antonio J. 3 Conti, Sergio 3 De Philippis, Guido 3 Della Porta, Francesco 3 Demoulini, Sophia 3 Dolzmann, Georg 3 Donoso, Alberto 3 Fernández-Cara, Enrique 3 Font, Roberto 3 Ghiba, Ionel-Dumitrel 3 Guerra, André 3 Hackl, Klaus 3 Heinz, Sebastian 3 Jouve, François 3 Kim, Seonghak 3 Koumatos, Konstantinos 3 Kreisbeck, Carolin 3 Larsen, Christopher J. 3 Lou, Hongwei 3 Markowich, Peter Alexander 3 Martin, Robert J. 3 Milton, Graeme Walter 3 Neff, Patrizio 3 Pathó, Gabriel 3 Peigney, Michaël 3 Praetorius, Dirk 3 Prinari, Francesca 3 She, Bangwei 3 Smarrazzo, Flavia 3 Souza, Diego A. 3 Sparber, Christof 3 Stefanelli, Ulisse 3 Tesei, Alberto ...and 508 more Authors all top 5 Cited in 173 Serials 42 Archive for Rational Mechanics and Analysis 39 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 36 Calculus of Variations and Partial Differential Equations 24 Journal of Mathematical Analysis and Applications 21 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Journal of Differential Equations 12 SIAM Journal on Mathematical Analysis 11 Journal of Optimization Theory and Applications 11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Computer Methods in Applied Mechanics and Engineering 9 Applied Mathematics and Optimization 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Continuum Mechanics and Thermodynamics 8 Journal of the Mechanics and Physics of Solids 8 Journal of Functional Analysis 7 Journal of Elasticity 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Journal of Nonlinear Science 7 Structural and Multidisciplinary Optimization 6 Numerical Functional Analysis and Optimization 6 Mathematics and Mechanics of Solids 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 S\(\vec{\text{e}}\)MA Journal 5 Applicable Analysis 5 Numerische Mathematik 5 Nonlinear Analysis. Real World Applications 5 Advances in Calculus of Variations 5 Journal of Elliptic and Parabolic Equations 4 Computers & Mathematics with Applications 4 Communications on Pure and Applied Mathematics 4 Journal of the Franklin Institute 4 Mathematics of Computation 4 SIAM Journal on Control and Optimization 4 Transactions of the American Mathematical Society 4 Zeitschrift für Analysis und ihre Anwendungen 4 NoDEA. Nonlinear Differential Equations and Applications 4 Journal of Mathematical Fluid Mechanics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Nonlinearity 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Quarterly of Applied Mathematics 3 Acta Applicandae Mathematicae 3 Applied Numerical Mathematics 3 Optimization 3 European Journal of Applied Mathematics 3 Journal of Global Optimization 3 Journal of Mathematical Sciences (New York) 3 Discrete and Continuous Dynamical Systems 3 Doklady Mathematics 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 3 Analysis and Applications (Singapore) 3 Optimization Letters 2 Journal of Computational Physics 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Siberian Mathematical Journal 2 Systems & Control Letters 2 Physica D 2 Mathematical and Computer Modelling 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Scientific Computing 2 The Journal of Geometric Analysis 2 Applied Mathematical Modelling 2 European Journal of Operational Research 2 Bulletin of the American Mathematical Society. New Series 2 Computational Optimization and Applications 2 Top 2 Engineering Analysis with Boundary Elements 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Revista Matemática Complutense 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Applied Mathematics 2 Boundary Value Problems 2 GAMM-Mitteilungen 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Mathematical Control and Related Fields 2 Evolution Equations and Control Theory 2 Nonlinear Analysis. Theory, Methods & Applications 2 Journal of Applied Mathematics and Computational Mechanics 1 Biological Cybernetics 1 Communications in Mathematical Physics 1 International Journal of Control 1 Journal d’Analyse Mathématique 1 Mathematical Biosciences 1 Acta Mathematica 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Automatica 1 BIT 1 Calcolo 1 Computing 1 Duke Mathematical Journal 1 Journal of Mathematical Economics 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Kybernetika 1 Mathematics and Computers in Simulation ...and 73 more Serials all top 5 Cited in 44 Fields 321 Calculus of variations and optimal control; optimization (49-XX) 237 Partial differential equations (35-XX) 185 Mechanics of deformable solids (74-XX) 68 Numerical analysis (65-XX) 47 Systems theory; control (93-XX) 43 Fluid mechanics (76-XX) 34 Real functions (26-XX) 34 Functional analysis (46-XX) 29 Operations research, mathematical programming (90-XX) 27 Optics, electromagnetic theory (78-XX) 18 Measure and integration (28-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Ordinary differential equations (34-XX) 15 Operator theory (47-XX) 14 Classical thermodynamics, heat transfer (80-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Functions of a complex variable (30-XX) 9 Probability theory and stochastic processes (60-XX) 7 Computer science (68-XX) 6 Convex and discrete geometry (52-XX) 6 Biology and other natural sciences (92-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Difference and functional equations (39-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Combinatorics (05-XX) 4 Integral equations (45-XX) 4 Quantum theory (81-XX) 4 Information and communication theory, circuits (94-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 General topology (54-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) Citations by Year