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Author ID: pedregal.pablo Recent zbMATH articles by "Pedregal, Pablo"
Published as: Pedregal, Pablo; Pedregal, P.; Pedegral, Pablo
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

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

Publications by Year

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 0879.49017
Pedregal, Pablo
188
1997
Characterizations of Young measures generated by gradients. Zbl 0754.49020
Kinderlehrer, David; Pedregal, Pablo
125
1991
Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046
Kinderlehrer, David; Pedregal, Pablo
93
1994
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, Irene; Müller, Stefan; Pedregal, Pablo
71
1998
Weak convergence of integrands and the Young measure representation. Zbl 0757.49014
Kinderlehrer, David; Pedregal, Pablo
47
1992
Laminates and microstructure. Zbl 0779.73050
Pedregal, Pablo
27
1993
Variational methods in nonlinear elasticity. Zbl 0941.74002
Pedregal, Pablo
25
2000
Hyperelasticity as a \(\Gamma\)-limit of peridynamics when the horizon goes to zero. Zbl 1327.74031
Bellido, José C.; Mora-Corral, Carlos; Pedregal, Pablo
23
2015
Optimal design of the damping set for the stabilization of the wave equation. Zbl 1105.49005
Münch, Arnaud; Pedregal, Pablo; Periago, Francisco
21
2006
Relaxation in ferromagnetism: The rigid case. Zbl 0790.46061
Pedregal, P.
17
1994
Numerical null controllability of the heat equation through a least squares and variational approach. Zbl 1301.80002
Münch, Arnaud; Pedregal, Pablo
17
2014
Optimization, relaxation and Young measures. Zbl 0916.49011
Pedregal, Pablo
16
1999
Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
14
1994
Nonlocal variational principles. Zbl 0918.49013
Pedregal, Pablo
14
1997
On the numerical analysis of non-convex variational problems. Zbl 0858.65059
Pedregal, Pablo
13
1996
Vector variational problems and applications to optimal design. Zbl 1089.49022
Pedregal, Pablo
13
2005
Introduction to optimization. Zbl 1036.90002
Pedregal, Pablo
13
2004
Numerical approximation of parametrized measures. Zbl 0848.65049
Pedregal, Pablo
12
1995
Jensen’s inequality in the calculus of variations. Zbl 0810.49013
Pedregal, Pablo
11
1994
A spatio-temporal design problem for a damped wave equation. Zbl 1147.35052
Maestre, 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 0980.49021
Pedregal, Pablo
10
2001
Explicit quasiconvexification for some cost functionals depending on derivatives of the state in optimal designing. Zbl 1035.49008
Bellido, José C.; Pedregal, Pablo
10
2002
Building and solving mathematical programming models in engineering and science. Zbl 1029.90001
Castillo, 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 1086.49013
Pedregal, Pablo
9
2004
Multi-scale Young measures. Zbl 1091.49014
Pedregal, Pablo
9
2006
A duality method for micromagnetics. Zbl 1203.49052
Pedregal, Pablo; Yan, Baisheng
9
2010
Optimal design of 2D conducting graded materials by minimizing quadratic functionals in the field. Zbl 1243.74142
Donoso Bellón, Alberto; Pedregal, Pablo
9
2005
Optimal design and constrained quasiconvexity. Zbl 0995.49004
Pedregal, Pablo
9
2000
On the computation of the rank-one convex hull of a function. Zbl 0989.49015
Aranda, Ernesto; Pedregal, Pablo
9
2001
An alternative approach for nonlinear optimal control problems based on the method of moments. Zbl 1171.49302
Meziat, René; Patiño, Diego; Pedregal, Pablo
8
2007
Existence results for optimal control problems with some special nonlinear dependence on state and control. Zbl 1194.49004
Pedregal, Pablo; Tiago, Jorge
8
2009
\(\Gamma\)-convergence through Young measures. Zbl 1077.49012
Pedregal, Pablo
8
2004
A variational approach to implicit ODEs and differential inclusions. Zbl 1172.34002
Amat, Sergio; Pedregal, Pablo
8
2009
Weak continuity and weak lower semicontinuity for some compensation operators. Zbl 0702.35054
Pedregal, Pablo
8
1989
Relaxation of an optimal design problem for the heat equation. Zbl 1147.35015
Münch, Arnaud; Pedregal, Pablo; Periago, Francisco
7
2008
A note on quasiconvexity and rank-one convexity for \(2\times 2\) matrices. Zbl 0918.49012
Pedregal, Pablo; Šverák, Vladimír
7
1998
Optimal design in two-dimensional conductivity for a general cost depending on the field. Zbl 1104.74052
Pedregal, Pablo
7
2006
Optimal design via variational principles: The one-dimensional case. Zbl 0985.49006
Bellido, José Carlos; Pedregal, Pablo
7
2001
div-curl Young measures and optimal design in any dimension. Zbl 1140.49010
Pedregal, Pablo
7
2007
On the relaxation of an optimal design problem for plates. Zbl 0943.74048
Muñoz, Julio; Pedregal, Pablo
6
1998
A least-squares formulation for the approximation of null controls for the Stokes system. Zbl 1273.93028
Münch, Arnaud; Pedregal, Pablo
6
2013
A refinement on existence results in nonconvex optimal control. Zbl 1019.49003
Muñoz, Julio; Pedregal, Pablo
6
2001
Constrained envelope for a general class of design problems. Zbl 1062.49011
Aranda, Ernesto; Pedregal, Pablo
6
2003
Some remarks on quasiconvexity and rank-one convexity. Zbl 0867.49012
Pedregal, Pablo
6
1996
From a nonlinear, nonconvex variational problem to a linear, convex formulation. Zbl 1013.49007
Egozcue, 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 1107.49014
Bevan, Jonathan; Pedregal, Pablo
6
2006
Relaxation of an optimal design problem in fracture mechanic: the anti-plane case. Zbl 1221.49074
Münch, Arnaud; Pedregal, Pablo
6
2010
Weak lower semicontinuity and relaxation for a class of non-local functionals. Zbl 1348.49010
Pedregal, Pablo
6
2016
Remarks about the analysis of gradient Young measures. Zbl 0833.49012
Kinderlehrer, David; Pedregal, P.
5
1992
Optimal design via variational principles: The three-dimensional case. Zbl 1038.49020
Bellido, José Carlos; Pedregal, Pablo
5
2003
Analysis of continuous \(H^{-1}\)-least-squares methods for the steady Navier-Stokes system. Zbl 1464.35184
Lemoine, Jérome; Münch, Arnaud; Pedregal, Pablo
5
2021
Optimal internal stabilization of the linear system of elasticity. Zbl 1169.74008
Münch, Arnaud; Pedregal, Pablo; Periago, Francisco
4
2009
Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042
Fonseca, 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 1190.65087
Pedregal, Pablo; Periago, Francisco; Villena, Jorge
4
2008
Equilibrium conditions for Young measures. Zbl 0920.49014
Pedregal, Pablo
4
1998
A variational perspective on controllability. Zbl 1189.93023
Pedregal, Pablo
4
2010
On the generality of variational principles. Zbl 1225.49003
Pedregal, Pablo
4
2003
A variational approach for the Navier-Stokes system. Zbl 1294.35072
Pedregal, Pablo
4
2012
Composition functionals in calculus of variations, application to products and quotients. Zbl 1143.49016
Castillo, Enrique; Luceño, Alberto; Pedregal, Pablo
3
2008
Caractérisation des mesures de Young associées à un gradient. (Characterization of gradient Young measures). Zbl 0759.49005
Kinderlehrer, David; Pedregal, Pablo
3
1991
Numerical approximation of non-homogeneous, non-convex vector variational problems. Zbl 1008.65042
Aranda, Ernesto; Pedegral, Pablo
3
2001
Existence in optimal control with state equation in divergence form via variational principles. Zbl 1084.49004
Bellido, José Carlos; Pedregal, Pablo
3
2003
Dynamic materials for an optimal design problem under the two-dimensional wave equation. Zbl 1158.49019
Maestre, Faustino; Pedregal, Pablo
3
2009
Quasiconvexification of sets in optimal design. Zbl 1156.49012
Boussaid, Omar; Pedregal, Pablo
3
2009
Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity. Zbl 1091.49013
Maestre, Faustino; Pedregal, Pablo
3
2006
On a variational approach for the analysis and numerical simulation of ODEs. Zbl 1264.65101
Amat, Sergio; Pedregal, Pablo
3
2013
A review of an optimal design problem for a plate of variable thickness. Zbl 1354.74200
Muñoz, Julio; Pedregal, Pablo
3
2007
Some non-linear systems of PDEs related to inverse problems in conductivity. Zbl 1472.35008
Maestre, Faustino; Pedregal, Pablo
3
2021
Explicit solutions of nonconvex variational problems in dimension one. Zbl 0949.49019
Muñoz, J.; Pedregal, P.
2
2000
Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031
Kinderlehrer, David; Pedregal, P.
2
1994
Some remarks on homogenization and exact boundary controllability for the one-dimensional wave equation. Zbl 1114.35013
Pedregal, Pablo; Periago, Francisco
2
2006
The method of moments for nonconvex variational problems. Zbl 1002.49019
Meziat, René; Egozcue, Juan José; Pedregal, Pablo
2
2001
Optimal design in conductivity under locally constrained heat flux. Zbl 1245.74066
Bellido, Jose Carlos; Donoso, Alberto; Pedregal, Pablo
2
2010
\(\varGamma \)-convergence of quadratic functionals with oscillating linear perturbations. Zbl 1180.35080
Pedregal, Pablo; Serrano, Hélia
2
2009
From micro to macroenergy through Young measures. Zbl 1106.74051
Pedregal, Pablo
2
2005
An optimization approach for the numerical approximation of differential equations. Zbl 1287.49034
Amat, Sergio; López, David J.; Pedregal, Pablo
2
2014
Homogenization of periodic composite power-law materials through Young measures. Zbl 1431.74101
Pedregal, Pablo; Serrano, Helia
2
2006
A variational approach to dynamical systems and its numerical simulation. Zbl 1211.34006
Pedregal, Pablo
2
2010
Constrained quasiconvexity and structural optimization. Zbl 0970.74053
Pedregal, Pablo
2
2000
On a generalization of compact operators and its application to the existence of critical points without convexity. Zbl 1244.49027
Pedregal, Pablo
2
2010
Optimal design through the sub-relaxation method. Understanding the basic principles. Zbl 1355.74001
Pedregal, Pablo
2
2016
Direct numerical algorithm for constrained variational problems. Zbl 1375.49047
Pedregal, Pablo
2
2017
On error functionals. Zbl 1306.49021
Pedregal, Pablo
2
2014
Optimal design in 2-D conductivity for quadratic functionals in the field. Zbl 1320.78013
Pedregal, P.
2
2005
On two-dimensional ferromagnetism. Zbl 1177.82123
Pedregal, Pablo; Yan, Baisheng
2
2009
Optimal design under the one-dimensional wave equation. Zbl 1231.49002
Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo
1
2008
Relaxation in magnetostriction. Zbl 0951.49020
Pedregal, Pablo
1
2000
The concept of a laminate. Zbl 0797.73052
Pedregal, Pablo
1
1993
An elementary proof of the fundamental property of a perfect gas. Zbl 0913.76077
Owen, David R.; Pedregal, Pablo
1
1998
On a Newton-type method for differential-algebraic equations. Zbl 1268.65105
Amat, S.; Légaz, M. J.; Pedregal, P.
1
2012
Optimal design of a plate of variable thickness: a variational approach in dimension one. Zbl 1213.49004
Pedregal, Pablo; Donoso, Alberto
1
2003
The fundamental property of a perfect gas and the second law of thermodynamics. Zbl 0882.76075
Monleón Pradas, Manuel; Pedregal, Pablo
1
1996
Young measures associated with homogenization. Zbl 1096.49008
Pedregal, Pablo
1
2006
A variational approach to a shape design problem for the wave equation. Zbl 1134.49027
Münch, Arnaud; Pedregal, Pablo; Periago, Francisco
1
2006
Surprising effects associated with homogenization. Zbl 1242.74086
Pedregal, Pablo
1
2009
Variational methods for non-variational problems. Zbl 1387.49004
Pedregal, Pablo
1
2017
What does rank-one convexity have to do with viscosity solutions? Zbl 1412.35066
Pedregal, Pablo
1
2018
New existence result for autonomous one-dimensional optimal control problems. Zbl 1293.49003
Pedregal, P.; Tiago, J.
1
2007
About least-squares type approach to address direct and controllability problems. Zbl 1425.65076
Münch, Arnaud; Pedregal, Pablo
1
2018
Weak limits in nonlinear conductivity. Zbl 1326.35166
Pedregal, Pablo
1
2015
On a new type of boundary condition. Zbl 1480.35138
Pedregal, Pablo
1
2022
Analysis of continuous \(H^{-1}\)-least-squares methods for the steady Navier-Stokes system. Zbl 1464.35184
Lemoine, Jérome; Münch, Arnaud; Pedregal, Pablo
5
2021
Some non-linear systems of PDEs related to inverse problems in conductivity. Zbl 1472.35008
Maestre, Faustino; Pedregal, Pablo
3
2021
Inverse quasiconvexification. Zbl 1475.49043
Pedregal, Pablo
1
2021
Robust optimal control of stochastic hyperelastic materials. Zbl 1481.49039
Martínez-Frutos, J.; Ortigosa, R.; Pedregal, P.; Periago, F.
1
2020
What does rank-one convexity have to do with viscosity solutions? Zbl 1412.35066
Pedregal, Pablo
1
2018
About least-squares type approach to address direct and controllability problems. Zbl 1425.65076
Münch, Arnaud; Pedregal, Pablo
1
2018
Some numerical tests for an alternative approach to optimal feedback control. Zbl 1398.93122
Font, Roberto; Pedregal, Pablo
1
2018
Direct numerical algorithm for constrained variational problems. Zbl 1375.49047
Pedregal, Pablo
2
2017
Variational methods for non-variational problems. Zbl 1387.49004
Pedregal, Pablo
1
2017
Optimal feedback control, linear first-order PDE systems, and obstacle problems. Zbl 1364.93304
Pedregal, Pablo
1
2017
Weak lower semicontinuity and relaxation for a class of non-local functionals. Zbl 1348.49010
Pedregal, Pablo
6
2016
Optimal design through the sub-relaxation method. Understanding the basic principles. Zbl 1355.74001
Pedregal, Pablo
2
2016
Hyperelasticity as a \(\Gamma\)-limit of peridynamics when the horizon goes to zero. Zbl 1327.74031
Bellido, José C.; Mora-Corral, Carlos; Pedregal, Pablo
23
2015
Weak limits in nonlinear conductivity. Zbl 1326.35166
Pedregal, Pablo
1
2015
Numerical null controllability of the heat equation through a least squares and variational approach. Zbl 1301.80002
Münch, Arnaud; Pedregal, Pablo
17
2014
An optimization approach for the numerical approximation of differential equations. Zbl 1287.49034
Amat, Sergio; López, David J.; Pedregal, Pablo
2
2014
On error functionals. Zbl 1306.49021
Pedregal, Pablo
2
2014
A least-squares formulation for the approximation of null controls for the Stokes system. Zbl 1273.93028
Münch, Arnaud; Pedregal, Pablo
6
2013
On a variational approach for the analysis and numerical simulation of ODEs. Zbl 1264.65101
Amat, Sergio; Pedregal, Pablo
3
2013
A variational approach for the Navier-Stokes system. Zbl 1294.35072
Pedregal, Pablo
4
2012
On a Newton-type method for differential-algebraic equations. Zbl 1268.65105
Amat, S.; Légaz, M. J.; Pedregal, P.
1
2012
A duality method for micromagnetics. Zbl 1203.49052
Pedregal, Pablo; Yan, Baisheng
9
2010
Relaxation of an optimal design problem in fracture mechanic: the anti-plane case. Zbl 1221.49074
Münch, Arnaud; Pedregal, Pablo
6
2010
A variational perspective on controllability. Zbl 1189.93023
Pedregal, Pablo
4
2010
Optimal design in conductivity under locally constrained heat flux. Zbl 1245.74066
Bellido, Jose Carlos; Donoso, Alberto; Pedregal, Pablo
2
2010
A variational approach to dynamical systems and its numerical simulation. Zbl 1211.34006
Pedregal, Pablo
2
2010
On a generalization of compact operators and its application to the existence of critical points without convexity. Zbl 1244.49027
Pedregal, Pablo
2
2010
Existence results for optimal control problems with some special nonlinear dependence on state and control. Zbl 1194.49004
Pedregal, Pablo; Tiago, Jorge
8
2009
A variational approach to implicit ODEs and differential inclusions. Zbl 1172.34002
Amat, Sergio; Pedregal, Pablo
8
2009
Optimal internal stabilization of the linear system of elasticity. Zbl 1169.74008
Münch, Arnaud; Pedregal, Pablo; Periago, Francisco
4
2009
Dynamic materials for an optimal design problem under the two-dimensional wave equation. Zbl 1158.49019
Maestre, Faustino; Pedregal, Pablo
3
2009
Quasiconvexification of sets in optimal design. Zbl 1156.49012
Boussaid, Omar; Pedregal, Pablo
3
2009
\(\varGamma \)-convergence of quadratic functionals with oscillating linear perturbations. Zbl 1180.35080
Pedregal, Pablo; Serrano, Hélia
2
2009
On two-dimensional ferromagnetism. Zbl 1177.82123
Pedregal, Pablo; Yan, Baisheng
2
2009
Surprising effects associated with homogenization. Zbl 1242.74086
Pedregal, Pablo
1
2009
Finding new families of rank-one convex polynomials. Zbl 1184.26005
Bandeira, Luís; Pedregal, Pablo
1
2009
Relaxation of an optimal design problem for the heat equation. Zbl 1147.35015
Münch, 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 1190.65087
Pedregal, Pablo; Periago, Francisco; Villena, Jorge
4
2008
Composition functionals in calculus of variations, application to products and quotients. Zbl 1143.49016
Castillo, Enrique; Luceño, Alberto; Pedregal, Pablo
3
2008
Optimal design under the one-dimensional wave equation. Zbl 1231.49002
Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo
1
2008
A spatio-temporal design problem for a damped wave equation. Zbl 1147.35052
Maestre, Faustino; Münch, Arnaud; Pedregal, Pablo
10
2007
An alternative approach for nonlinear optimal control problems based on the method of moments. Zbl 1171.49302
Meziat, René; Patiño, Diego; Pedregal, Pablo
8
2007
div-curl Young measures and optimal design in any dimension. Zbl 1140.49010
Pedregal, Pablo
7
2007
A review of an optimal design problem for a plate of variable thickness. Zbl 1354.74200
Muñoz, Julio; Pedregal, Pablo
3
2007
New existence result for autonomous one-dimensional optimal control problems. Zbl 1293.49003
Pedregal, P.; Tiago, J.
1
2007
Optimal design of the damping set for the stabilization of the wave equation. Zbl 1105.49005
Münch, Arnaud; Pedregal, Pablo; Periago, Francisco
21
2006
Multi-scale Young measures. Zbl 1091.49014
Pedregal, Pablo
9
2006
Optimal design in two-dimensional conductivity for a general cost depending on the field. Zbl 1104.74052
Pedregal, Pablo
7
2006
A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals. Zbl 1107.49014
Bevan, Jonathan; Pedregal, Pablo
6
2006
Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity. Zbl 1091.49013
Maestre, Faustino; Pedregal, Pablo
3
2006
Some remarks on homogenization and exact boundary controllability for the one-dimensional wave equation. Zbl 1114.35013
Pedregal, Pablo; Periago, Francisco
2
2006
Homogenization of periodic composite power-law materials through Young measures. Zbl 1431.74101
Pedregal, Pablo; Serrano, Helia
2
2006
Young measures associated with homogenization. Zbl 1096.49008
Pedregal, Pablo
1
2006
A variational approach to a shape design problem for the wave equation. Zbl 1134.49027
Münch, Arnaud; Pedregal, Pablo; Periago, Francisco
1
2006
Vector variational problems and applications to optimal design. Zbl 1089.49022
Pedregal, Pablo
13
2005
Optimal design of 2D conducting graded materials by minimizing quadratic functionals in the field. Zbl 1243.74142
Donoso Bellón, Alberto; Pedregal, Pablo
9
2005
From micro to macroenergy through Young measures. Zbl 1106.74051
Pedregal, Pablo
2
2005
Optimal design in 2-D conductivity for quadratic functionals in the field. Zbl 1320.78013
Pedregal, P.
2
2005
Introduction to optimization. Zbl 1036.90002
Pedregal, Pablo
13
2004
Constrained quasiconvexification of the square of the gradient of the state in optimal design. Zbl 1086.49013
Pedregal, Pablo
9
2004
\(\Gamma\)-convergence through Young measures. Zbl 1077.49012
Pedregal, Pablo
8
2004
Constrained envelope for a general class of design problems. Zbl 1062.49011
Aranda, Ernesto; Pedregal, Pablo
6
2003
Optimal design via variational principles: The three-dimensional case. Zbl 1038.49020
Bellido, José Carlos; Pedregal, Pablo
5
2003
On the generality of variational principles. Zbl 1225.49003
Pedregal, Pablo
4
2003
Existence in optimal control with state equation in divergence form via variational principles. Zbl 1084.49004
Bellido, José Carlos; Pedregal, Pablo
3
2003
Optimal design of a plate of variable thickness: a variational approach in dimension one. Zbl 1213.49004
Pedregal, Pablo; Donoso, Alberto
1
2003
Explicit quasiconvexification for some cost functionals depending on derivatives of the state in optimal designing. Zbl 1035.49008
Bellido, José C.; Pedregal, Pablo
10
2002
Building and solving mathematical programming models in engineering and science. Zbl 1029.90001
Castillo, Enrique; Conejo, Antonio J.; Pedregal, Pablo; Garciá, Ricardo; Alguacil, Natalia
9
2002
From a nonlinear, nonconvex variational problem to a linear, convex formulation. Zbl 1013.49007
Egozcue, 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 0980.49021
Pedregal, Pablo
10
2001
On the computation of the rank-one convex hull of a function. Zbl 0989.49015
Aranda, Ernesto; Pedregal, Pablo
9
2001
Optimal design via variational principles: The one-dimensional case. Zbl 0985.49006
Bellido, José Carlos; Pedregal, Pablo
7
2001
A refinement on existence results in nonconvex optimal control. Zbl 1019.49003
Muñoz, Julio; Pedregal, Pablo
6
2001
Numerical approximation of non-homogeneous, non-convex vector variational problems. Zbl 1008.65042
Aranda, Ernesto; Pedegral, Pablo
3
2001
The method of moments for nonconvex variational problems. Zbl 1002.49019
Meziat, René; Egozcue, Juan José; Pedregal, Pablo
2
2001
Variational methods in nonlinear elasticity. Zbl 0941.74002
Pedregal, Pablo
25
2000
Optimal design and constrained quasiconvexity. Zbl 0995.49004
Pedregal, Pablo
9
2000
Explicit solutions of nonconvex variational problems in dimension one. Zbl 0949.49019
Muñoz, J.; Pedregal, P.
2
2000
Constrained quasiconvexity and structural optimization. Zbl 0970.74053
Pedregal, Pablo
2
2000
Relaxation in magnetostriction. Zbl 0951.49020
Pedregal, Pablo
1
2000
Optimization, relaxation and Young measures. Zbl 0916.49011
Pedregal, Pablo
16
1999
Analysis of concentration and oscillation effects generated by gradients. Zbl 0920.49009
Fonseca, Irene; Müller, Stefan; Pedregal, Pablo
71
1998
A note on quasiconvexity and rank-one convexity for \(2\times 2\) matrices. Zbl 0918.49012
Pedregal, Pablo; Šverák, Vladimír
7
1998
On the relaxation of an optimal design problem for plates. Zbl 0943.74048
Muñoz, Julio; Pedregal, Pablo
6
1998
Equilibrium conditions for Young measures. Zbl 0920.49014
Pedregal, Pablo
4
1998
An elementary proof of the fundamental property of a perfect gas. Zbl 0913.76077
Owen, David R.; Pedregal, Pablo
1
1998
Parametrized measures and variational principles. Zbl 0879.49017
Pedregal, Pablo
188
1997
Nonlocal variational principles. Zbl 0918.49013
Pedregal, Pablo
14
1997
On the numerical analysis of non-convex variational problems. Zbl 0858.65059
Pedregal, Pablo
13
1996
Some remarks on quasiconvexity and rank-one convexity. Zbl 0867.49012
Pedregal, Pablo
6
1996
The fundamental property of a perfect gas and the second law of thermodynamics. Zbl 0882.76075
Monleón Pradas, Manuel; Pedregal, Pablo
1
1996
Numerical approximation of parametrized measures. Zbl 0848.65049
Pedregal, Pablo
12
1995
Gradient Young measures generated by sequences in Sobolev spaces. Zbl 0808.46046
Kinderlehrer, David; Pedregal, Pablo
93
1994
Relaxation in ferromagnetism: The rigid case. Zbl 0790.46061
Pedregal, P.
17
1994
Energy functionals depending on elastic strain and chemical composition. Zbl 0800.49030
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
14
1994
Jensen’s inequality in the calculus of variations. Zbl 0810.49013
Pedregal, Pablo
11
1994
Remarks about gradient Young measures generated by sequences in Sobolev spaces. Zbl 0828.46031
Kinderlehrer, David; Pedregal, P.
2
1994
Laminates and microstructure. Zbl 0779.73050
Pedregal, Pablo
27
1993
Relaxation in \(BV \times L^ \infty\) of functionals depending on strain and composition. Zbl 0796.49042
Fonseca, Irene; Kinderlehrer, David; Pedregal, Pablo
4
1993
...and 6 more Documents
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
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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