Recent articles in ESAIM: Control, Optimisation and Calculus of Variations

Recent articles in ESAIM: Control, Optimisation and Calculus of Variations http://www.edpsciences.org/cocv Contents of the last issue of ESAIM: Control, Optimisation and Calculus of Variations weekly 1 2009-07-01T09:11:16Z EDP Sciences Copyright (c) 2009 Copyright (c) 2009 1262-3377 ESAIM: Control, Optimisation and Calculus of Variations Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems http://www.edpsciences.org/10.1051/cocv/2009010 Authors: Eduardo Casas and Fredi Tröltzsch ESAIM: COCV PREPRINT, (2009) Received July 20, 2008. Revised February 24, 2009. Published online July 2nd, 2009. Keywords: Optimal control, pointwise state constraints, first and second order optimality conditions, Lagrange multipliers, Borel measures Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems Eduardo Casas Fredi Tröltzsch Optimal control pointwise state constraints first and second order optimality conditions Lagrange multipliers Borel measures 49J20 49K20 35J65 2009-07-01T09:11:16Z text/html doi:10.1051/cocv/2009010 ESAIM: COCV PREPRINT, abstract 1246439476 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent http://www.edpsciences.org/10.1051/cocv/2009014 Authors: Yannick Privat and Mario Sigalotti ESAIM: COCV PREPRINT, (2009) Received September 17, 2008. Revised March 11, 2009. Published online July 2nd, 2009. Keywords: Genericity, Laplacian-Dirichlet eigenfunctions, non-resonant spectrum, shape optimization, control The squares of the Laplacian-Dirichlet eigenfunctions are generically linearly independent Yannick Privat Mario Sigalotti Genericity Laplacian-Dirichlet eigenfunctions non-resonant spectrum shape optimization control 37C20 47A55 47A75 49K20 49K30 93B05 2009-07-01T09:11:16Z text/html doi:10.1051/cocv/2009014 ESAIM: COCV PREPRINT, abstract 1246439476 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT Existence and L_\infty estimates of some Mountain-Pass type solutions http://www.edpsciences.org/10.1051/cocv/2009015 Author: José Maria Gomes ESAIM: COCV PREPRINT, (2009) Received September 26, 2006. Revised March 29, 2007. Published online July 2nd, 2009. Keywords: Second order singular differential equation, variational methods, Mountain Pass Theorem Existence and L_\infty estimates of some Mountain-Pass type solutions José Maria Gomes Second order singular differential equation variational methods Mountain Pass Theorem 34B18 34C11 2009-07-01T09:11:16Z text/html doi:10.1051/cocv/2009015 ESAIM: COCV PREPRINT, abstract 1246439476 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problems http://www.edpsciences.org/10.1051/cocv/2009016 Authors: Michael Hintermüller and Irwin Yousept ESAIM: COCV PREPRINT, (2009) Received July 13, 2007. Revised January 28, 2009. Published online July 2nd, 2009. Keywords: Extrapolation, mixed control-state constraints, PDE-constrained optimization, semismooth Newton algorithm, sensitivity, state constraints A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problems Michael Hintermüller Irwin Yousept Extrapolation mixed control-state constraints PDE-constrained optimization semismooth Newton algorithm sensitivity state constraints 49M15 49M37 65K05 90C33 2009-07-01T09:11:16Z text/html doi:10.1051/cocv/2009016 ESAIM: COCV PREPRINT, abstract 1246439476 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT Controllability of 3D incompressible Euler equations by a finite-dimensional external force http://www.edpsciences.org/10.1051/cocv/2009017 Author: Hayk Nersisyan ESAIM: COCV PREPRINT, (2009) Received October 21, 2008. Revised February 20, 2009. Published online July 2nd, 2009. Keywords: Controllability, 3D incompressible Euler equations, Agrachev-Sarychev method Controllability of 3D incompressible Euler equations by a finite-dimensional external force Hayk Nersisyan Controllability 3D incompressible Euler equations Agrachev-Sarychev method 35Q35 93C20 2009-07-01T09:11:16Z text/html doi:10.1051/cocv/2009017 ESAIM: COCV PREPRINT, abstract 1246439476 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT Bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals http://www.edpsciences.org/10.1051/cocv/2009018 Authors: Pedro Freitas and Batłomiej Siudeja ESAIM: COCV PREPRINT, (2009) Received September 18, 2008. Revised March 5, 2009. Published online July 2nd, 2009. Keywords: Dirichlet eigenvalues, polygons, variational bounds Bounds for the first Dirichlet eigenvalue of triangles and quadrilaterals Pedro Freitas Batłomiej Siudeja Dirichlet eigenvalues polygons variational bounds 35P15 35J05 2009-07-01T09:11:16Z text/html doi:10.1051/cocv/2009018 ESAIM: COCV PREPRINT, abstract 1246439476 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT Relaxation of an optimal design problem in fracture mechanic: the anti-plane case http://www.edpsciences.org/10.1051/cocv/2009019 Authors: Arnaud Münch and Pablo Pedregal ESAIM: COCV PREPRINT, (2009) Received February 13, 2008. Revised November 15, 2008. Published online July 2nd, 2009. Keywords: Fracture mechanics, optimal design problem, relaxation, numerical experiments Relaxation of an optimal design problem in fracture mechanic: the anti-plane case Arnaud Münch Pablo Pedregal Fracture mechanics optimal design problem relaxation numerical experiments 49J45 65N30 2009-07-01T09:11:16Z text/html doi:10.1051/cocv/2009019 ESAIM: COCV PREPRINT, abstract 1246439476 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT Regularity properties of the distance functions to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and applications in Riemannian geometry http://www.edpsciences.org/10.1051/cocv/2009020 Authors: Marco Castelpietra and Ludovic Rifford ESAIM: COCV PREPRINT, (2009) Received December 6, 2008. Revised March 31, 2009. Published online July 2nd, 2009. Keywords: Viscosity solution, Hamilton-Jacobi equation, regularity, cut locus, conjugate locus, Riemannian geometry Regularity properties of the distance functions to conjugate and cut loci for viscosity solutions of Hamilton-Jacobi equations and applications in Riemannian geometry Marco Castelpietra Ludovic Rifford Viscosity solution Hamilton-Jacobi equation regularity cut locus conjugate locus Riemannian geometry 35F20 49L25 53C22 2009-07-01T09:11:16Z text/html doi:10.1051/cocv/2009020 ESAIM: COCV PREPRINT, abstract 1246439476 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT Switching and stability properties of conewise linear systems http://www.edpsciences.org/10.1051/cocv/2009021 Authors: Jinglai Shen, Lanshan Han and Jong-Shi Pang ESAIM: COCV PREPRINT, (2009) Received September 19, 2008. Revised February 15, 2009. Published online July 2nd, 2009. Keywords: Variable structure systems, Lyapunov and other classical stabilities, asymptotic stability Switching and stability properties of conewise linear systems Jinglai Shen Lanshan Han Jong-Shi Pang Variable structure systems Lyapunov and other classical stabilities asymptotic stability 93B12 93D05 93D20 2009-07-01T09:11:16Z text/html doi:10.1051/cocv/2009021 ESAIM: COCV PREPRINT, abstract 1246439476 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT Mean variance and goal achieving portfolio for discrete-time market with currently observable source of correlations http://www.edpsciences.org/10.1051/cocv/2009008 Author: Nikolai Dokuchaev ESAIM: COCV PREPRINT, (2009) Received July 11, 2008. Revised November 30, 2008. Published online June 18, 2009. Keywords: Discrete time market, multi-period market, myopic strategies, serial correlation, optimal portfolio, mean variance portfolio, goal achieving Mean variance and goal achieving portfolio for discrete-time market with currently observable source of correlations Nikolai Dokuchaev Discrete time market multi-period market myopic strategies serial correlation optimal portfolio mean variance portfolio goal achieving 91B16 91B70 2009-06-17T11:00:57Z text/html doi:10.1051/cocv/2009008 ESAIM: COCV PREPRINT, abstract 1245236457 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint http://www.edpsciences.org/10.1051/cocv/2009009 Author: Ayman Kachmar ESAIM: COCV PREPRINT, (2009) Received April 30, 2008. Revised February 13, 2009. Published online June 18, 2009. Keywords: Generalized Ginzburg-Landau energy functional, proximity effects, global minimizers, unique positive solution, vortices Magnetic vortices for a Ginzburg-Landau type energy with discontinuous constraint Ayman Kachmar Generalized Ginzburg-Landau energy functional proximity effects global minimizers unique positive solution vortices 35J60 35J20 35J25 35B40 35Q55 82D55 2009-06-17T11:00:57Z text/html doi:10.1051/cocv/2009009 ESAIM: COCV PREPRINT, abstract 1245236457 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT Erratum: Corrigendum to: “On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations” http://www.edpsciences.org/10.1051/cocv/2009011 Authors: Piotr Grabowski and Frank M. Callier ESAIM: COCV PREPRINT, (2009) Received September 8, 2008. Published online June 18, 2009. Keywords: Infinite-dimensional control systems, semigroups, Lyapunov functionals, circle criterion. Erratum: Corrigendum to: “On the circle criterion for boundary control systems in factor form: Lyapunov stability and Lur'e equations” Piotr Grabowski Frank M. Callier Infinite-dimensional control systems semigroups Lyapunov functionals circle criterion. 93B 47D 35A 34G 2009-06-17T11:00:57Z text/html doi:10.1051/cocv/2009011 ESAIM: COCV PREPRINT, abstract 1245236457 ESAIM: Control, Optimisation and Calculus of Variations Erratum PREPRINT Metric subregularity for nonclosed convex multifunctions in normed spaces http://www.edpsciences.org/10.1051/cocv/2009012 Authors: Xi Yin Zheng and Kung Fu Ng ESAIM: COCV PREPRINT, (2009) Received September 13, 2008. Revised February 4, 2009. Published online June 18, 2009. Keywords: Metric subregularity, multifunction, normal cone, coderivative Metric subregularity for nonclosed convex multifunctions in normed spaces Xi Yin Zheng Kung Fu Ng Metric subregularity multifunction normal cone coderivative 90C31 90C25 49J52 2009-06-17T11:00:57Z text/html doi:10.1051/cocv/2009012 ESAIM: COCV PREPRINT, abstract 1245236457 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT A penalty method for topology optimization subject to a pointwise state constraint http://www.edpsciences.org/10.1051/cocv/2009013 Author: Samuel Amstutz ESAIM: COCV PREPRINT, (2009) Received January 8, 2008. Revised November 21, 2008. Published online June 18, 2009. Keywords: Topology optimization, topological derivative, penalty methods, pointwise state constraints A penalty method for topology optimization subject to a pointwise state constraint Samuel Amstutz Topology optimization topological derivative penalty methods pointwise state constraints 49Q10 49Q12 49M30 35J05 2009-06-17T11:00:57Z text/html doi:10.1051/cocv/2009013 ESAIM: COCV PREPRINT, abstract 1245236457 ESAIM: Control, Optimisation and Calculus of Variations Article PREPRINT