Attouch, H.
Overview
Works:  43 works in 93 publications in 3 languages and 506 library holdings 

Genres:  Conference papers and proceedings Periodicals 
Roles:  Author, Thesis advisor, Editor 
Classifications:  QA315, 515.64 
Publication Timeline
.
Most widely held works by
H Attouch
Variational convergence for functions and operators by
H Attouch(
Book
)
12 editions published in 1984 in English and held by 259 WorldCat member libraries worldwide
12 editions published in 1984 in English and held by 259 WorldCat member libraries worldwide
Analyse non linéaire : [actes du congrès francoquébecois 2226 juin 1987, Perpignan] : contributions en l'honneur de J.J.
Moreau by
Jean Jacques Moreau(
Book
)
19 editions published between 1989 and 1990 in 3 languages and held by 92 WorldCat member libraries worldwide
19 editions published between 1989 and 1990 in 3 languages and held by 92 WorldCat member libraries worldwide
Asymptotic analysis of variational problems with constraints of obstacle type by
H Attouch(
Book
)
3 editions published in 1982 in English and French and held by 23 WorldCat member libraries worldwide
3 editions published in 1982 in English and French and held by 23 WorldCat member libraries worldwide
A nonlinear Volterra equation in variable domain by
H Attouch(
Book
)
4 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
We prove the existence and uniqueness of a strong solution of a nonlinear heat flow equation governing the temperature in a homogeneous material with memory when the temperature outside of a smooth time dependent domain Omega(t) is prescribed. (Author)
4 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
We prove the existence and uniqueness of a strong solution of a nonlinear heat flow equation governing the temperature in a homogeneous material with memory when the temperature outside of a smooth time dependent domain Omega(t) is prescribed. (Author)
On the maximality of the sum of two maximal monotone operators by
H Attouch(
Book
)
4 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
A wide variety of problems involving nonlinear partial differential equations, subject to boundary conditions, may be shown to have solutions by establishing that the associated differential operators satisfy a certain technical condition. This condition, called maximal monotonicity, allows the use of a well developed abstract theory which includes results about existence, regularity, etc., of solutions of operator equations. It is quite useful, therefore, to have easily verified conditions which imply that an operator is maximal monotone. Frequently an operator may be regarded as the sum of simpler components. This paper gives a new sufficient condition which guarantees that the sum of two maximal monotone operators is again maximal monotone. (Author)
4 editions published in 1979 in English and held by 5 WorldCat member libraries worldwide
A wide variety of problems involving nonlinear partial differential equations, subject to boundary conditions, may be shown to have solutions by establishing that the associated differential operators satisfy a certain technical condition. This condition, called maximal monotonicity, allows the use of a well developed abstract theory which includes results about existence, regularity, etc., of solutions of operator equations. It is quite useful, therefore, to have easily verified conditions which imply that an operator is maximal monotone. Frequently an operator may be regarded as the sum of simpler components. This paper gives a new sufficient condition which guarantees that the sum of two maximal monotone operators is again maximal monotone. (Author)
An energetic approach to homogenization problems with rapidly oscillating potentials by
H Attouch(
Book
)
4 editions published in 1979 in English and held by 4 WorldCat member libraries worldwide
It is shown that many, a priori distinct, problems of homogenization including the case of rapidly oscillating potentials can be studied, and the limit problem computed, in a unified way, through general compactness and convergence results for sequences of functionals of calculus of variations. The convergence notion is taken in variational sense, more precisely by the notion of Tauconvergence introduced by DeGiorgi
4 editions published in 1979 in English and held by 4 WorldCat member libraries worldwide
It is shown that many, a priori distinct, problems of homogenization including the case of rapidly oscillating potentials can be studied, and the limit problem computed, in a unified way, through general compactness and convergence results for sequences of functionals of calculus of variations. The convergence notion is taken in variational sense, more precisely by the notion of Tauconvergence introduced by DeGiorgi
Set convergence in nonlinear analysis and optimization : special issue of Setvalued analysis(
Book
)
3 editions published in 1994 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1994 in English and held by 4 WorldCat member libraries worldwide
E.D.P. [Equations Différentielles Partielles] associées à des familles de sousdifférentiels by
H Attouch(
Book
)
2 editions published in 1976 in French and held by 4 WorldCat member libraries worldwide
MESURABILITE ET MONOTONIE: TOPOLOGIE DE LA RCONVERGENCE; FAMILLES MESURABLES D'OPERATEURS MAXIMAUX MONOTONES; APPLICATIONS. SOLUTIONS FORTES D'INEQUATIONS VARIATIONNELLES D'EVOLUTION. APPLICATION DES METHODES DE CONVEXITE ET MONOTONIE A L'ETUDE DE CERTAINES EQUATIONS QUASILINEAIRES
2 editions published in 1976 in French and held by 4 WorldCat member libraries worldwide
MESURABILITE ET MONOTONIE: TOPOLOGIE DE LA RCONVERGENCE; FAMILLES MESURABLES D'OPERATEURS MAXIMAUX MONOTONES; APPLICATIONS. SOLUTIONS FORTES D'INEQUATIONS VARIATIONNELLES D'EVOLUTION. APPLICATION DES METHODES DE CONVEXITE ET MONOTONIE A L'ETUDE DE CERTAINES EQUATIONS QUASILINEAIRES
Homogenization for a Volterra Equation by
United States(
Book
)
3 editions published in 1983 in English and held by 3 WorldCat member libraries worldwide
Nonlinear heat flow in a heterogeneous material is considered. In this model, the internal genergy and heat flux depend upon the history of the temperature and the gradient of the temperature respectively. The heat conservation law leads to a Nonlinear Volterra integrodifferential equation with appropriate boundary conditions. This problem is solved under physically reasonable assumptions and its homogenization is investigated: introducing a small parameter beta measuring the 'tightness' of the heterogeneity of the medium (typically we assume betaperiodicity for the physical parameters), the stability of the model is studied (as beta goes to zero) and the homogenized (ideal) limit medium is characterized in some cases, including the linear one. (Author)
3 editions published in 1983 in English and held by 3 WorldCat member libraries worldwide
Nonlinear heat flow in a heterogeneous material is considered. In this model, the internal genergy and heat flux depend upon the history of the temperature and the gradient of the temperature respectively. The heat conservation law leads to a Nonlinear Volterra integrodifferential equation with appropriate boundary conditions. This problem is solved under physically reasonable assumptions and its homogenization is investigated: introducing a small parameter beta measuring the 'tightness' of the heterogeneity of the medium (typically we assume betaperiodicity for the physical parameters), the stability of the model is studied (as beta goes to zero) and the homogenized (ideal) limit medium is characterized in some cases, including the linear one. (Author)
The topology of the pHausdorff distance by
H Attouch(
Book
)
3 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
Nonlinear partial differential equations by
H Attouch(
Book
)
2 editions published between 1900 and 1983 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 1900 and 1983 in English and held by 2 WorldCat member libraries worldwide
A duality proof of the Hille Yosida theorem by
H Attouch(
Book
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Convergences variationnelles et dualité applications en calcul des variations et en programmation mathématique by
Dominique Azé(
Book
)
1 edition published in 1986 in French and held by 1 WorldCat member library worldwide
On étudie la stabilite des solutions de problemes d'optimisation apres perturbation des donnees. On s'interesse specialement au cas des variables duales. Utilisant les theories de la convergence variationnelle, on montre comment l'etude de la stabilite primale / duale se ramene a la convergence des fonctions de perturbation. On etudie egalement l'aspect lagrangien de la dualite et la continuite de la transformee partielle de legendrefenchel. On aborde l'aspect metrique de la stabilite a l'aide des distances variationnelles de h. Attouch et r. Wets. On etudie la continuite de la somme de deux fonctions convexes, relativement aux distances precitees. Les distances variationnelles etant definies a partir d'approximations regularisantes de type infconvolutif, on etudie une large classe de telles approximations ainsi que leurs liens avec les convergences du type jolymosco. On donne diverses applications en calcul des variations et en programmmation mathematique. On etudie un exemple de dualite non convexe conduisant a l'homogeneisation d'une suite de problemes non lineaires de type de sturmliouville
1 edition published in 1986 in French and held by 1 WorldCat member library worldwide
On étudie la stabilite des solutions de problemes d'optimisation apres perturbation des donnees. On s'interesse specialement au cas des variables duales. Utilisant les theories de la convergence variationnelle, on montre comment l'etude de la stabilite primale / duale se ramene a la convergence des fonctions de perturbation. On etudie egalement l'aspect lagrangien de la dualite et la continuite de la transformee partielle de legendrefenchel. On aborde l'aspect metrique de la stabilite a l'aide des distances variationnelles de h. Attouch et r. Wets. On etudie la continuite de la somme de deux fonctions convexes, relativement aux distances precitees. Les distances variationnelles etant definies a partir d'approximations regularisantes de type infconvolutif, on etudie une large classe de telles approximations ainsi que leurs liens avec les convergences du type jolymosco. On donne diverses applications en calcul des variations et en programmmation mathematique. On etudie un exemple de dualite non convexe conduisant a l'homogeneisation d'une suite de problemes non lineaires de type de sturmliouville
Lipschitzian stability of [epsilon]approximate solutions in convex optimization by
H Attouch(
Book
)
2 editions published in 1987 in English and held by 1 WorldCat member library worldwide
2 editions published in 1987 in English and held by 1 WorldCat member library worldwide
Convergence epigraphique et changements d'echelle en analyse variationnelle et optimisation. Applications aux transitions
de phases et a la methode barriere logarithmique by
Denis Torralba(
Book
)
1 edition published in 1996 in French and held by 1 WorldCat member library worldwide
1 edition published in 1996 in French and held by 1 WorldCat member library worldwide
Homogeneisation de matériaux présentant de nombreuses inclusions (strates, fibres) fortement conductrices by
Elhassan Chabi(
Book
)
1 edition published in 1986 in French and held by 1 WorldCat member library worldwide
On étudie l'homogeneisation de materiaux composites ayant une structure stratifiee (resp. Fibree) lorsque ces strates (resp. Fibres) ont des coefficients de conductivite, elasticite..., elevees par rapport au reste du materiau. On met en evidende d'un rapport critique liant les trois parametres (periode, taille et conductivite des inclusions) et determinant la forme du probleme limite
1 edition published in 1986 in French and held by 1 WorldCat member library worldwide
On étudie l'homogeneisation de materiaux composites ayant une structure stratifiee (resp. Fibree) lorsque ces strates (resp. Fibres) ont des coefficients de conductivite, elasticite..., elevees par rapport au reste du materiau. On met en evidende d'un rapport critique liant les trois parametres (periode, taille et conductivite des inclusions) et determinant la forme du probleme limite
The dynamics of elastic shocks via epigraphical regularization of a differential inclusion : barrier and penalty approximations by
H Attouch(
Book
)
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
1 edition published in 2001 in English and held by 1 WorldCat member library worldwide
L p approximation of variational problems in L 1 and L by
H Attouch(
Book
)
1 edition published in 1996 in French and held by 1 WorldCat member library worldwide
1 edition published in 1996 in French and held by 1 WorldCat member library worldwide
Cutting and scanning methods in set valued analysis by
H Attouch(
Book
)
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
1 edition published in 1994 in English and held by 1 WorldCat member library worldwide
Variational analysis in Sobolev and BV spaces : applications to PDEs and optimization by
Hedy Attouch(
)
2 editions published between 2006 and 2014 in English and held by 0 WorldCat member libraries worldwide
This volume is an excellent guide for anyone interested in variational analysis, optimization, and PDEs. It offers a detailed presentation of the most important tools in variational analysis as well as applications to problems in geometry, mechanics, elasticity, and computer vision
2 editions published between 2006 and 2014 in English and held by 0 WorldCat member libraries worldwide
This volume is an excellent guide for anyone interested in variational analysis, optimization, and PDEs. It offers a detailed presentation of the most important tools in variational analysis as well as applications to problems in geometry, mechanics, elasticity, and computer vision
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Related Identities
 Moreau, Jean Jacques 1923 Honoree Author
 Michaille, Gérard
 Society for Industrial and Applied Mathematics
 Buttazzo, Giuseppe
 Université de Perpignan Degree grantor
 Centre de coopération francoquébecois
 Mathematical Programming Society (U.S.)
 Centre de coopération interuniversitaire francoquébécoise Editor
 Université de Perpignan (1971 ...) Editor
 CharlesPicard, Colette
Associated Subjects
Approximation theory Calculus of variations Convergence Convex domains Differential equations, Nonlinear Differential equations, Partial Functions Functions of bounded variation Function spaces Heat equation Mathematical analysis Mathematical optimization Monotone operators Moreau, Jean Jacques, Nonlinear functional analysis Nonlinear theories Operator theory Sequences (Mathematics) Sobolev spaces Volterra equations