P. Pedregal

发表

Mixed‐Integer Linear Programming

Pablo Pedregal, Natalia Alguacil, Antonio J. Gonejo, 2011 .

Parametrized measures and variational principles

P. Pedregal, 1997 .

Constrained quasiconvexification of the square of the gradient of the state in optimal design

P. Pedregal, 2004 .

Vector variational problems and applications to optimal design

P. Pedregal, 2005 .

Div-Curl Young Measures and Optimal Design in Any Dimension

P. Pedregal, 2007 .

Analysis of Continuous $$H^{-1}$$ H - 1 -Least-Squares Methods for

A. Münch, P. Pedregal, Jérôme Lemoine, 2019 .

Nonlocal variational principles

P. Pedregal, 1997 .

Approximation of Hamiltonian Systems using an Alternative Variational Technique

P. Pedregal, S. Amat, M. Jos, 2015 .

A variational approach to implicit ODEs and differential inclusions

P. Pedregal, S. Amat, 2009 .

A Variational Approach to Dynamical Systems and Its Numerical Simulation

P. Pedregal, 2010 .

On a variational approach for the analysis and numerical simulation of ODEs

P. Pedregal, S. Amat, 2012 .

OPTIMAL DESIGN OF THE DAMPING SET FOR THE STABILIZATION OF THE WAVE EQUATION

Pablo Pedregal, Arnaud Münch, Francisco Periago, 2006 .

A note on quasiconvexity and rank-one convexity for matrices.

P. Pedregal, V. Sverák, 1998 .

About least-squares type approach to address direct and controllability problems

P. Pedregal, A. Munch, 2015, 1510.03541.

A different look at controllability

P. Pedregal, 2014, 1401.3136.

A least-squares formulation for the approximation of null controls for the Stokes system

Pablo Pedregal, Arnaud Münch, A. Münch, 2013 .

Hilbert's 16th problem. II. Pfaffian equations and variational methods

P. Pedregal, 2019, 1904.01300.

OPTIMAL DESIGN MODELLED BY POISSON’S EQUATION IN THE PRESENCE OF GRADIENTS IN THE OBJECTIVE

P. Pedregal, 2004 .

Finding new families of rank-one convex polynomials

P. Pedregal, Luís Bandeira, 2009 .

Motivation and Framework

P. Pedregal, 2016 .

Hilbert's 16th problem. I. When differential systems meet variational methods

J. Llibre, P. Pedregal, 2019, 1904.01292.

A note on Young measures and correctors in Γ-convergence and homogenization

P. Pedregal, 2010 .

A necessary and sufficient condition for the weak lower semicontinuity of one-dimensional non-local variational integrals

Pablo Pedregal, P. Pedregal, Jonathan J. Bevan, 2006, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Remarks about Gradient Young Measures Generated by Sequences in Soblev Spaces

D. Kinderlehrer, P. Pedregal, Pablo Ptdregal, 2005 .

On Some Basic Aspects of the Relationship between the Calculus of Variations and Differential Equations

P. Pedregal, 2004 .

An optimal bi-design problem for a damped wave equation

A. Münch, P. Pedregal, F. Maestre, 2007 .

Existence in Optimal Control with State Equation in Divergence Form Via Variational Principles

P. Pedregal, C. Bellido, 2003 .

Optimal design via variational principles: the one-dimensional case

J. C. Bellido, P. Pedregal, 2001 .

QUASICONVEXIFICATION FOR SOME COST FUNCTIONALS DEPENDING ON DERIVATIVES OF THE STATE IN OPTIMAL DESING

J. C. Bellido, P. Pedregal, 2022 .

On a variant of Tykhonov regularization in optimal control under PDEs

P. Pedregal, 2018, 1803.09096.

Existence results for optimal control problems with general dependence on state and control

P. Pedregal, J. Tiago, 2008 .

On error functionals

P. Pedregal, 2014 .

Numerical Approximation of Basic Optimal Control Problems, and Dynamic Programming

P. Pedregal, 2017 .

Relaxation Through Moments

P. Pedregal, 2016 .

A Multiplicative Version of Quasiconvexity for Hyperelasticity

P. Pedregal, 2022, Journal of Elasticity.

Linearizing Stiff Delay Differential Equations

M. J. Legaz, P. Pedregal, S. Amat, 2013 .

Γ-convergence of quadratic functionals with oscillating linear perturbations☆

P. Pedregal, Hélia Serrano, 2009 .

Weak limits in non-linear conductivity

P. Pedregal, 2014, 1402.0358.

Optimal control and design of magnetic field-responsive smart polymer composites

P. Pedregal, C. Mora-Corral, J. Martínez-Frutos, 2021, Applied Mathematical Modelling.

Some numerical tests for an alternative approach to optimal feedback control

Pablo Pedregal, Roberto Font, P. Pedregal, 2018, J. Frankl. Inst..

Analysis of Concentration and Oscillation Effects Generated by Gradients

Irene Fonseca, Pablo Pedregal, Stefan Müller, 1998 .

On non-locality in the calculus of variations

P. Pedregal, 2020, SeMA Journal.

Numerical Approximation of Variational Problems

P. Pedregal, 2017 .

Weak lower semicontinuity and relaxation for a class of non-local functionals

P. Pedregal, 2016 .

Hyperelasticity as a $$\Gamma $$Γ-limit of peridynamics when the horizon goes to zero

Pablo Pedregal, J. C. Bellido, Carlos Mora-Corral, 2015 .

Variational methods for non-variational problems

P. Pedregal, 2017 .

Hilbert’s 16th problem

P. Pedregal, 2018, Pencils of Cubics and Algebraic Curves in the Real Projective Plane.

An alternative approach for non-linear optimal control problems based on the method of moments

Pablo Pedregal, Diego Patiño, René Meziat, 2007, Comput. Optim. Appl..

Young Measures Associated with Homogenization

PABLO PEDREGAL, P. Pedregal, 2006, SIAM J. Math. Anal..

Rank-one convexity implies quasiconvexity for two-component maps

P. Pedregal, 2019, 1905.06571.

Quasiconvexity: the quadratic case revisited, and some consequences for fourth-degree polynomials

P. Pedregal, Luís Bandeira, 2010 .

Quasiconvexification in 3-D for a variational reformulation of an optimal design problem in conductivity

Pablo Pedregal, Faustino Maestre, P. Pedregal, 2006 .

A Review of an Optimal Design Problem for a Plate of Variable Thickness

Pablo Pedregal, Julio Muñoz, P. Pedregal, 2007, SIAM J. Control. Optim..

On the relaxation of an optimal design problem for plates

Pablo Pedregal, Julio Muñoz, P. Pedregal, 1998 .

Formulaciy Resolucide Modelos

Antonio J. Conejo, Enrique Castillo, Pablo Pedregal, 2002 .

A variational method for the numerical simulation of a boundary controllability problem for the linear and semilinear 1D wave equations

Pablo Pedregal, Ernesto Aranda, P. Pedregal, 2014, J. Frankl. Inst..

A Numerical Method of Local Energy Decay for the Boundary Controllability of Time‐Reversible Distributed Parameter Systems

Pablo Pedregal, Francisco Periago, P. Pedregal, 2008 .

Numerical approximation of non-homogeneous, non-convex vector variational problems

Pablo Pedregal, Ernesto Aranda, P. Pedregal, 2001, Numerische Mathematik.

On the Computation of the Rank-One Convex Hull of a Function

Pablo Pedregal, Ernesto Aranda, P. Pedregal, 2000, SIAM J. Sci. Comput..

Laminates and microstructure

Pablo Pedregal, P. Pedregal, 1993, European Journal of Applied Mathematics.

Some Variational Problems

Pablo Pedregal, P. Pedregal, 1997 .

Building and Solving Mathematical Programming Models in Engineering and Science

Enrique Castillo, Antonio J. Conejo, Pablo Pedregal, 2001 .

Some remarks on quasiconvexity and rank-one convexity

P. Pedregal, 1996, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

COMPOSITION FUNCTIONALS IN CALCULUS OF VARIATIONS: APPLICATION TO PRODUCTS AND QUOTIENTS

E. Castillo, A. Luceño, P. Pedregal, 2008 .

On a new type of boundary condition

P. Pedregal, 2021, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.

Some Technical Proofs

P. Pedregal, 2016 .

An optimization approach for the numerical approximation of differential equations

P. Pedregal, S. Amat, D. J. López, 2014 .

Variational methods in nonlinear elasticity

Pablo Pedregal, P. Pedregal, 1987 .

On the numerical analysis of non-convex variational problems

Pablo Pedregal, P. Pedregal, 1996 .

Numerical approximation of parametrized measures

Pablo Pedregal, P. Pedregal, 1995 .

On a special class of non-local variational problems

P. Pedregal, 2023, Revista Matemática Complutense.

Relaxation of an optimal design problem for the heat equation

Pablo Pedregal, Arnaud Münch, Francisco Periago, 2008 .

AN ESTIMATE ON THE APPROXIMATION OF THE RANK-ONE CONVEX HULL OF A FUNCTION

P. Pedregal, E. Aranda, 2002 .

Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design

Pablo Pedregal, P. Pedregal, 2001 .

Optimal Design in 2-D Conductivity for Quadratic Functionals in the Field

P. Pedregal, P. Pedregal, 2004 .

Optimal Design and Constrained Quasiconvexity

Pablo Pedregal, P. Pedregal, 2000, SIAM J. Math. Anal..

Optimization, relaxation and Young measures

Pablo Pedregal, P. Pedregal, 1999 .

Existence Results for Optimal Control Problems with Some Special Nonlinear Dependence on State and Control

Pablo Pedregal, Jorge Tiago, P. Pedregal, 2009, SIAM J. Control. Optim..

Young-measure solutions for multidimensional systems of conservation laws.

P. Pedregal, 2018, 1810.09326.

A Variational Approach for the Navier–Stokes System

P. Pedregal, 2011, Journal of Mathematical Fluid Mechanics.

On a Generalization of Compact Operators and its Application to the Existence of Critical Points Without Convexity

P. Pedregal, 2010 .

Relaxation in ferromagnetism: The rigid case

P. Pedregal, P. Pedregal, 1994 .

Gradient Young measures generated by sequences in Sobolev spaces

Pablo Pedregal, David Kinderlehrer, D. Kinderlehrer, 1994 .

Characterizations of young measures generated by gradients

Pablo Pedregal, David Kinderlehrer, D. Kinderlehrer, 1991 .

Relaxation in magnetostriction

Pablo Pedregal, P. Pedregal, 2000 .

Weak convergence of integrands and the young measure representation

Pablo Pedregal, David Kinderlehrer, D. Kinderlehrer, 1992 .

Jensen's inequality in the calculus of variations

Pablo Pedregal, H. Brezis, P. Pedregal, 1994, Differential and Integral Equations.

Local version of magnetostriction

Pablo Pedregal, P. Pedregal, 1998, Smart Structures.

Weak continuity and weak lower semicontinuity for some compensation operators

P. Pedregal, 1989, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

Multi-scale Young measures

P. Pedregal, 2005 .

A Variational Approach for the Navier–Stokes System

Pablo Pedregal, P. Pedregal, 2012 .

On a general variational framework for existence and uniqueness in Differential Equations

Pablo Pedregal, P. Pedregal, 2021, Annales Mathématiques Blaise Pascal.

Existence results for optimal control problems with some special non-linear dependence on state and control

Pablo Pedregal, Jorge Tiago, P. Pedregal, 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

A refinement on existence results in nonconvex optimal control

Pablo Pedregal, Julio Muñoz, P. Pedregal, 2001 .

On error functionals

P. Pedregal, 2014, SeMA Journal.

On the Generality of Variational Principles

Pablo Pedregal, P. Pedregal, 2003 .

Some remarks on homogenization and exact boundary controllability for the one-dimensional wave equation

P. Pedregal, F. Periago, 2006 .

Remarks on ¨-Convergence and the Monge-Kantorovich Mass Transfer Problem

P. Pedregal, 2005 .

Numerical null controllability of the heat equation through a least squares and variational approach

Pablo Pedregal, Arnaud Münch, A. Münch, 2014, European Journal of Applied Mathematics.

A Spatio-temporal Design Problem for a Damped Wave Equation

Pablo Pedregal, Arnaud Münch, Faustino Maestre, 2007, SIAM J. Appl. Math..

The fundamental property of a perfect gas and the second law of thermodynamics

P. Pedregal, M. M. Pradas, 1996 .

Some evidence in favor of Morrey's conjecture

P. Pedregal, 2014, 1406.7199.

A variable step-size implementation of a variational method for stiff differential equations

Pablo Pedregal, Sergio Amat, María José Legaz, 2015, Math. Comput. Simul..

Γ-Convergence through Young Measures

Pablo Pedregal, P. Pedregal, 2004, SIAM J. Math. Anal..

Energy functional depending on elastic strain and chemical composition

Irene Fonseca, Pablo Pedregal, David Kinderlehrer, 1994 .

On some non-linear systems of PDEs related to inverse problems in 3-d conductivity

P. Pedregal, 2022, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas.