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## Donato, Patrizia

Compute Distance To:
 Author ID: donato.patrizia Published as: Donato, P.; Donato, Patrizia
 Documents Indexed: 92 Publications since 1978, including 3 Books
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#### Co-Authors

 8 single-authored 22 Cioranescu, Doina 8 Damlamian, Alain 7 Zuazua, Enrique 6 Giachetti, Daniela 5 Monsurrò, Sara 5 Zaki, Rachad 4 Chourabi, Imen 4 Nabil, Aïssam 3 Cabarrubias, Bituin 3 Conca, Carlos 3 De Arcangelis, Riccardo 3 Gaudiello, Antonio 3 Jose, Editha C. 3 Migliaccio, Lucia 3 Raimondi, Federica 3 Sgambati, Luciana 2 El Hajji, Mohamed 2 Ene, Horia I. 2 Faella, Luisa 2 Le Nguyen, Kim Hang 2 Mardare, Sorin 2 Picard, Colette 2 Vernescu, Bogdan 2 Yang, Zhanying 1 Briane, Marc 1 Bunoiu, Renata 1 Cardone, Giuseppe 1 Corbo Esposito, Antonio 1 Gaveau, Florian 1 Griso, Georges 1 Guibé, Olivier 1 Haddadou, Hamid 1 Mascarenhas, Maria-Luisa 1 Mishra, Indira 1 Moscariello, Gioconda 1 Murat, François 1 Oropeza, Alip 1 Petitta, Francesco 1 Piatnitski, Andrey L. 1 Roque, Marian P. 1 Saint Jean Paulin, Jeannine 1 Schianchi, Rosanna 1 Segura de León, Sergio 1 Tardieu, R. 1 Ţenţea, Iulian 1 Troisi, Mario
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#### Serials

 6 Ricerche di Matematica 6 Asymptotic Analysis 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 SIAM Journal on Mathematical Analysis 3 Chinese Annals of Mathematics. Series B 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Advances in Mathematical Sciences and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Applicable Analysis 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Differential and Integral Equations 2 Nonlinear Analysis. Theory, Methods & Applications 1 Mathematical Methods in the Applied Sciences 1 Studia Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti dell’Accademia delle Scienze Fisiche e Matemàtiche. Serie IV 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Control and Optimization 1 Revista de Matemáticas Aplicadas 1 Journal of the Ramanujan Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VI. A 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Journal of Mathematical Sciences (New York) 1 Electronic Journal of Differential Equations (EJDE) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Communications on Applied Nonlinear Analysis 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 International Journal of Pure and Applied Mathematics 1 Analysis and Applications (Singapore) 1 Carpathian Journal of Mathematics 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Oxford Lecture Series in Mathematics and its Applications 1 GAKUTO International Series. Mathematical Sciences and Applications 1 Networks and Heterogeneous Media 1 Science China. Mathematics 1 Journal of Elliptic and Parabolic Equations
all top 5

#### Fields

 82 Partial differential equations (35-XX) 10 Mechanics of deformable solids (74-XX) 10 Systems theory; control (93-XX) 9 Functional analysis (46-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Fluid mechanics (76-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Citations contained in zbMATH Open

70 Publications have been cited 964 times in 607 Documents Cited by Year
An introduction to homogenization. Zbl 0939.35001
Cioranescu, Doina; Donato, Patrizia
1999
The periodic unfolding method in domains with holes. Zbl 1250.49017
Cioranescu, D.; Damlamian, A.; Donato, P.; Griso, G.; Zaki, R.
2012
The periodic unfolding method in perforated domains. Zbl 1119.49014
Cioranescu, Doina; Donato, Patrizia; Zaki, Rachad
2006
Homogénéisation du problème de Neumann non homogène dans des ouverts perforés. (Homogeneization of the nonhomogeneous Neumann problem in perforated open domains). Zbl 0683.35026
Cioranescu, Doina; Donato, Patrizia
1988
Homogenization of two heat conductors with an interfacial contact resistance. Zbl 1083.35014
Donato, Patrizia; Monsurrò, Sara
2004
Non-homogeneous Neumann problems in domains with small holes. Zbl 0669.35028
Conca, C.; Donato, P.
1988
Asymptotic behavior of elliptic problems in perforated domains with nonlinear boundary conditions. Zbl 1157.35008
Cioranescu, Doina; Donato, Patrizia; Zaki, Rachad
2007
The periodic unfolding method for a class of imperfect transmission problems. Zbl 1290.35018
Donato, P.; Le Nguyen, K. H.; Tardieu, R.
2011
Homogenization of the Stokes problem with non-homogeneous slip boundary conditions. Zbl 0869.35012
Cioranescu, Doina; Donato, Patrizia; Ene, Horia I.
1996
Exact internal controllability in performed domains. Zbl 0627.35057
Cioranescu, Doina; Donato, Patrizia
1989
Homogenization of the wave equation in composites with imperfect interface: a memory effect. Zbl 1112.35017
Donato, Patrizia; Faella, Luisa; Monsurrò, Sara
2007
Periodic unfolding and Robin problems in perforated domains. Zbl 1090.35027
Cioranescu, Doina; Donato, Patrizia; Zaki, Rachad
2006
Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions. Zbl 1254.35017
Cabarrubias, Bituin; Donato, Patrizia
2012
Homogenization and correctors of a class of elliptic problems in perforated domains. Zbl 1408.35004
Chourabi, Imen; Donato, Patrizia
2015
The periodic unfolding method for the wave equation in domains with Holes. Zbl 1295.35043
Donato, Patrizia; Yang, Zhanying
2012
Averaging of nonstationary parabolic operators with large lower order terms. Zbl 1201.35034
Donato, Patrizia; Piatnitski, Andrey
2006
Homogenization of the $$p$$-Laplacian in a domain with oscillating boundary. Zbl 0892.35017
Corbo Esposito, Antonio; Donato, Patrizia; Gaudiello, Antonio; Picard, Colette
1997
Corrector results for a parabolic problem with a memory effect. Zbl 1195.35038
Donato, Patrizia; Jose, Editha C.
2010
Correctors for the homogenization of a class of hyperbolic equations with imperfect interfaces. Zbl 1197.35029
Donato, Patrizia; Faella, Luisa; Monsurrò, Sara
2009
$$H$$-convergence for perforated domains. Zbl 0943.35005
Briane, M.; Damlamian, A.; Donato, P.
1998
Exact boundary controllability for the wave equation in domains with small holes. Zbl 0843.35009
Cioranescu, D.; Donato, P.; Zuazua, E.
1992
Homogenization of diffusion problems with a nonlinear interfacial resistance. Zbl 1339.35022
Donato, Patrizia; Le Nguyen, Kim Hang
2015
Homogenization and correctors for the heat equation in perforated domains. Zbl 1102.35305
Donato, Patrizia; Nabil, Aïssam
2001
Approximate controllability of linear parabolic equations in perforated domains. Zbl 0964.35015
Donato, Patrizia; Nabil, Aïssam
2001
Existence and homogenization for a singular problem through rough surfaces. Zbl 1357.35154
Donato, Patrizia; Giachetti, Daniela
2016
Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions. Zbl 1265.35098
Cabarrubias, Bituin; Donato, Patrizia
2011
Some corrector results for composites with imperfect interface. Zbl 1129.35008
Donato, Patrizia
2006
Homogenization of semilinear parabolic equations in perforated domains. Zbl 1085.35022
Donato, P.; Nabil, A.
2004
On a Robin problem in perforated domains. Zbl 0900.35040
Cioranescu, D.; Donato, P.
1995
Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition? Zbl 1073.35020
Damlamian, Alain; Donato, Patrizia
2002
Homogenization with small perforations of increasingly complicated shapes. Zbl 0762.35025
Damlamian, Alain; Donato, Patrizia
1991
Quasilinear elliptic equations with quadratic growth in unbounded domains. Zbl 0602.35036
Donato, Patrizia; Giachetti, Daniela
1986
Homogenization and corrector for the wave equation in domains with small holes. Zbl 0807.35077
Cioranescu, D.; Donato, P.; Murat, F.; Zuazua, E.
1991
Homogenization of a class of imperfect transmission problems. Zbl 1300.80007
Donato, Patrizia
2011
On the homogenization of some nonlinear problems in perforated domains. Zbl 0755.35040
Donato, Patrizia; Moscariello, Gioconda
1990
Existence and uniqueness results for a class of singular elliptic problems in perforated domains. Zbl 1381.35050
Donato, Patrizia; Monsurrò, Sara; Raimondi, Federica
2017
Asymptotic behavior of the approximate controls for parabolic equations with interfacial contact resistance. Zbl 1320.35044
Donato, Patrizia; Jose, Editha C.
2015
Homogenization of bounded solutions of elliptic equations with quadratic growth in periodically perforated domains. Zbl 0944.35009
Donato, Patrizia; Gaudiello, Antonio; Sgambati, Luciana
1998
A compactness result for elliptic equations with subquadratic growth in perforated domains. Zbl 0988.35060
Cardone, Giuseppe; Donato, Patrizia; Gaudiello, Antonio
1998
Homogenization and approximate controllability for the heat equation in perforated domains. Zbl 0877.35014
Donato, Patrizia; Nabil, Aïssam
1997
Homogenization of elliptic problems with quadratic growth and nonhomogenous Robin conditions in perforated domains. Zbl 06700364
Chourabi, Imen; Donato, Patrizia
2016
Homogenization of some evolution problems in domains with small holes. Zbl 1347.35027
Cabarrubias, Bituin; Donato, Patrizia
2016
The periodic unfolding method for the heat equation in perforated domains. Zbl 1338.35028
Donato, Patrizia; Yang, ZhanYing
2016
Bounded solutions for a quasilinear singular problem with nonlinear Robin boundary conditions. Zbl 1299.35021
Chourabi, Imen; Donato, Patrizia
2013
Homogenization of some singular nonlinear elliptic problems. Zbl 1244.35037
Donato, P.; Giachetti, D.
2011
$$H^0$$-convergence and iterated homogenization. Zbl 1077.35018
Damlamian, A.; Donato, P.
2004
Homogenization for some nonlinear problems in perforated domains. Zbl 0806.35011
Donato, P.; Sgambati, L.
1994
Convergence of minima of integral functionals and multiplicative perturbations of the integrands. Zbl 0647.49008
De Arcangelis, Riccardo; Donato, Patrizia
1988
Homogenization in weighted Sobolev spaces. Zbl 0608.49008
De Arcangelis, Riccardo; Donato, Patrizia
1985
Homogenization of a class of singular elliptic problems in perforated domains. Zbl 1415.35022
Donato, Patrizia; Monsurrò, Sara; Raimondi, Federica
2018
Unfolding homogenization in doubly periodic media and applications. Zbl 1456.35016
Bunoiu, Renata; Donato, Patrizia
2017
Homogenization and correctors for the wave equation in non periodic perforated domains. Zbl 1166.35003
Donato, Patrizia; Gaveau, Florian
2008
Meyers type estimates in elasticity and applications to $$H$$-convergence. Zbl 1113.35016
2006
Stokes flow in a porous medium with double periodicity. Zbl 0836.35116
Donato, P.; Saint Jean Paulin, Jeannine
1994
Approximate boundary controllability for the wave equation in perforated domains. Zbl 0797.93003
Cioranescu, Doina; Donato, Patrizia; Zuazua, Enrique
1994
On the convergence of Laplace-Beltrami operators associated to quasiregular mappings. Zbl 0646.30024
De Arcangelis, Riccardo; Donato, Patrizia
1987
Homogenization of quasilinear elliptic problems with nonlinear Robin conditions and $$L^1$$ data. Zbl 1404.35024
Donato, Patrizia; Guibé, Olivier; Oropeza, Alip
2018
Existence and uniqueness results for a class of singular elliptic problems in two-component domains. Zbl 1404.35189
Donato, P.; Raimondi, F.
2017
Homogenization of an elastic double-porosity medium with imperfect interface via the periodic unfolding method. Zbl 1295.35042
Donato, Patrizia; Ţenţea, Iulian
2013
From Stokes to Darcy in infinite cylinders: do limits commute? Zbl 1299.35044
Donato, Patrizia; Mardare, Sorin; Vernescu, Bogdan
2013
The periodic unfolding method in perforated domains and applications to Robin problems. Zbl 1180.35074
Cioranescu, D.; Donato, P.; Zaki, R.
2009
Convergence of Dirichlet problems for monotone operators in a class of porous media. Zbl 1097.35026
Picard, Colette; Donato, Patrizia
2000
Existence results for a nonlinear problem modeling the displacement of a solid in a transverse flow. Zbl 0820.76014
Conca, C.; Donato, P.
1994
Approximate controllability for the wave equation with oscillating coefficients. Zbl 0792.93065
Cioranescu, Doina; Donato, Patrizia; Zuazua, Enrique
1992
Fluid flows in dielectric porous media. Zbl 0770.76062
Cioranescu, Doina; Donato, Patrizia; Ene, Horia I.
1992
Strong convergence on the exact boundary controllability of the wave equation in perforated domains. Zbl 0748.93009
Cioranescu, Doina; Donato, Patrizia; Zuazua, Enrike
1991
Contrôlabilité exacte frontière de l’équation des ondes dans des domaines avec des petits trous. (Exact boundary controllability for the wave equation in domains with small holes). Zbl 0694.49003
Cioranescu, Doina; Donato, Patrizia; Zuazua, Enrike
1989
Unilateral problems with quadratic growth in unbounded domains. Zbl 0602.49008
Donato, Patrizia; Giachetti, Daniela
1986
An estimate for the difference of H-limits and its application to a homogeneization problem. Zbl 0554.35011
Donato, Patrizia
1983
Semilinear elliptic equations in unbounded domains of $$R^ n$$. Zbl 0456.35033
Donato, Patrizia; Migliaccio, Lucia; Schianchi, Rosanna
1981
Homogenization of a class of singular elliptic problems in perforated domains. Zbl 1415.35022
Donato, Patrizia; Monsurrò, Sara; Raimondi, Federica
2018
Homogenization of quasilinear elliptic problems with nonlinear Robin conditions and $$L^1$$ data. Zbl 1404.35024
Donato, Patrizia; Guibé, Olivier; Oropeza, Alip
2018
Existence and uniqueness results for a class of singular elliptic problems in perforated domains. Zbl 1381.35050
Donato, Patrizia; Monsurrò, Sara; Raimondi, Federica
2017
Unfolding homogenization in doubly periodic media and applications. Zbl 1456.35016
Bunoiu, Renata; Donato, Patrizia
2017
Existence and uniqueness results for a class of singular elliptic problems in two-component domains. Zbl 1404.35189
Donato, P.; Raimondi, F.
2017
Existence and homogenization for a singular problem through rough surfaces. Zbl 1357.35154
Donato, Patrizia; Giachetti, Daniela
2016
Homogenization of elliptic problems with quadratic growth and nonhomogenous Robin conditions in perforated domains. Zbl 06700364
Chourabi, Imen; Donato, Patrizia
2016
Homogenization of some evolution problems in domains with small holes. Zbl 1347.35027
Cabarrubias, Bituin; Donato, Patrizia
2016
The periodic unfolding method for the heat equation in perforated domains. Zbl 1338.35028
Donato, Patrizia; Yang, ZhanYing
2016
Homogenization and correctors of a class of elliptic problems in perforated domains. Zbl 1408.35004
Chourabi, Imen; Donato, Patrizia
2015
Homogenization of diffusion problems with a nonlinear interfacial resistance. Zbl 1339.35022
Donato, Patrizia; Le Nguyen, Kim Hang
2015
Asymptotic behavior of the approximate controls for parabolic equations with interfacial contact resistance. Zbl 1320.35044
Donato, Patrizia; Jose, Editha C.
2015
Bounded solutions for a quasilinear singular problem with nonlinear Robin boundary conditions. Zbl 1299.35021
Chourabi, Imen; Donato, Patrizia
2013
Homogenization of an elastic double-porosity medium with imperfect interface via the periodic unfolding method. Zbl 1295.35042
Donato, Patrizia; Ţenţea, Iulian
2013
From Stokes to Darcy in infinite cylinders: do limits commute? Zbl 1299.35044
Donato, Patrizia; Mardare, Sorin; Vernescu, Bogdan
2013
The periodic unfolding method in domains with holes. Zbl 1250.49017
Cioranescu, D.; Damlamian, A.; Donato, P.; Griso, G.; Zaki, R.
2012
Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions. Zbl 1254.35017
Cabarrubias, Bituin; Donato, Patrizia
2012
The periodic unfolding method for the wave equation in domains with Holes. Zbl 1295.35043
Donato, Patrizia; Yang, Zhanying
2012
The periodic unfolding method for a class of imperfect transmission problems. Zbl 1290.35018
Donato, P.; Le Nguyen, K. H.; Tardieu, R.
2011
Existence and uniqueness for a quasilinear elliptic problem with nonlinear Robin conditions. Zbl 1265.35098
Cabarrubias, Bituin; Donato, Patrizia
2011
Homogenization of a class of imperfect transmission problems. Zbl 1300.80007
Donato, Patrizia
2011
Homogenization of some singular nonlinear elliptic problems. Zbl 1244.35037
Donato, P.; Giachetti, D.
2011
Corrector results for a parabolic problem with a memory effect. Zbl 1195.35038
Donato, Patrizia; Jose, Editha C.
2010
Correctors for the homogenization of a class of hyperbolic equations with imperfect interfaces. Zbl 1197.35029
Donato, Patrizia; Faella, Luisa; Monsurrò, Sara
2009
The periodic unfolding method in perforated domains and applications to Robin problems. Zbl 1180.35074
Cioranescu, D.; Donato, P.; Zaki, R.
2009
Homogenization and correctors for the wave equation in non periodic perforated domains. Zbl 1166.35003
Donato, Patrizia; Gaveau, Florian
2008
Asymptotic behavior of elliptic problems in perforated domains with nonlinear boundary conditions. Zbl 1157.35008
Cioranescu, Doina; Donato, Patrizia; Zaki, Rachad
2007
Homogenization of the wave equation in composites with imperfect interface: a memory effect. Zbl 1112.35017
Donato, Patrizia; Faella, Luisa; Monsurrò, Sara
2007
The periodic unfolding method in perforated domains. Zbl 1119.49014
Cioranescu, Doina; Donato, Patrizia; Zaki, Rachad
2006
Periodic unfolding and Robin problems in perforated domains. Zbl 1090.35027
Cioranescu, Doina; Donato, Patrizia; Zaki, Rachad
2006
Averaging of nonstationary parabolic operators with large lower order terms. Zbl 1201.35034
Donato, Patrizia; Piatnitski, Andrey
2006
Some corrector results for composites with imperfect interface. Zbl 1129.35008
Donato, Patrizia
2006
Meyers type estimates in elasticity and applications to $$H$$-convergence. Zbl 1113.35016
2006
Homogenization of two heat conductors with an interfacial contact resistance. Zbl 1083.35014
Donato, Patrizia; Monsurrò, Sara
2004
Homogenization of semilinear parabolic equations in perforated domains. Zbl 1085.35022
Donato, P.; Nabil, A.
2004
$$H^0$$-convergence and iterated homogenization. Zbl 1077.35018
Damlamian, A.; Donato, P.
2004
Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition? Zbl 1073.35020
Damlamian, Alain; Donato, Patrizia
2002
Homogenization and correctors for the heat equation in perforated domains. Zbl 1102.35305
Donato, Patrizia; Nabil, Aïssam
2001
Approximate controllability of linear parabolic equations in perforated domains. Zbl 0964.35015
Donato, Patrizia; Nabil, Aïssam
2001
Convergence of Dirichlet problems for monotone operators in a class of porous media. Zbl 1097.35026
Picard, Colette; Donato, Patrizia
2000
An introduction to homogenization. Zbl 0939.35001
Cioranescu, Doina; Donato, Patrizia
1999
$$H$$-convergence for perforated domains. Zbl 0943.35005
Briane, M.; Damlamian, A.; Donato, P.
1998
Homogenization of bounded solutions of elliptic equations with quadratic growth in periodically perforated domains. Zbl 0944.35009
Donato, Patrizia; Gaudiello, Antonio; Sgambati, Luciana
1998
A compactness result for elliptic equations with subquadratic growth in perforated domains. Zbl 0988.35060
Cardone, Giuseppe; Donato, Patrizia; Gaudiello, Antonio
1998
Homogenization of the $$p$$-Laplacian in a domain with oscillating boundary. Zbl 0892.35017
Corbo Esposito, Antonio; Donato, Patrizia; Gaudiello, Antonio; Picard, Colette
1997
Homogenization and approximate controllability for the heat equation in perforated domains. Zbl 0877.35014
Donato, Patrizia; Nabil, Aïssam
1997
Homogenization of the Stokes problem with non-homogeneous slip boundary conditions. Zbl 0869.35012
Cioranescu, Doina; Donato, Patrizia; Ene, Horia I.
1996
On a Robin problem in perforated domains. Zbl 0900.35040
Cioranescu, D.; Donato, P.
1995
Homogenization for some nonlinear problems in perforated domains. Zbl 0806.35011
Donato, P.; Sgambati, L.
1994
Stokes flow in a porous medium with double periodicity. Zbl 0836.35116
Donato, P.; Saint Jean Paulin, Jeannine
1994
Approximate boundary controllability for the wave equation in perforated domains. Zbl 0797.93003
Cioranescu, Doina; Donato, Patrizia; Zuazua, Enrique
1994
Existence results for a nonlinear problem modeling the displacement of a solid in a transverse flow. Zbl 0820.76014
Conca, C.; Donato, P.
1994
Exact boundary controllability for the wave equation in domains with small holes. Zbl 0843.35009
Cioranescu, D.; Donato, P.; Zuazua, E.
1992
Approximate controllability for the wave equation with oscillating coefficients. Zbl 0792.93065
Cioranescu, Doina; Donato, Patrizia; Zuazua, Enrique
1992
Fluid flows in dielectric porous media. Zbl 0770.76062
Cioranescu, Doina; Donato, Patrizia; Ene, Horia I.
1992
Homogenization with small perforations of increasingly complicated shapes. Zbl 0762.35025
Damlamian, Alain; Donato, Patrizia
1991
Homogenization and corrector for the wave equation in domains with small holes. Zbl 0807.35077
Cioranescu, D.; Donato, P.; Murat, F.; Zuazua, E.
1991
Strong convergence on the exact boundary controllability of the wave equation in perforated domains. Zbl 0748.93009
Cioranescu, Doina; Donato, Patrizia; Zuazua, Enrike
1991
On the homogenization of some nonlinear problems in perforated domains. Zbl 0755.35040
Donato, Patrizia; Moscariello, Gioconda
1990
Exact internal controllability in performed domains. Zbl 0627.35057
Cioranescu, Doina; Donato, Patrizia
1989
Contrôlabilité exacte frontière de l’équation des ondes dans des domaines avec des petits trous. (Exact boundary controllability for the wave equation in domains with small holes). Zbl 0694.49003
Cioranescu, Doina; Donato, Patrizia; Zuazua, Enrike
1989
Homogénéisation du problème de Neumann non homogène dans des ouverts perforés. (Homogeneization of the nonhomogeneous Neumann problem in perforated open domains). Zbl 0683.35026
Cioranescu, Doina; Donato, Patrizia
1988
Non-homogeneous Neumann problems in domains with small holes. Zbl 0669.35028
Conca, C.; Donato, P.
1988
Convergence of minima of integral functionals and multiplicative perturbations of the integrands. Zbl 0647.49008
De Arcangelis, Riccardo; Donato, Patrizia
1988
On the convergence of Laplace-Beltrami operators associated to quasiregular mappings. Zbl 0646.30024
De Arcangelis, Riccardo; Donato, Patrizia
1987
Quasilinear elliptic equations with quadratic growth in unbounded domains. Zbl 0602.35036
Donato, Patrizia; Giachetti, Daniela
1986
Unilateral problems with quadratic growth in unbounded domains. Zbl 0602.49008
Donato, Patrizia; Giachetti, Daniela
1986
Homogenization in weighted Sobolev spaces. Zbl 0608.49008
De Arcangelis, Riccardo; Donato, Patrizia
1985
An estimate for the difference of H-limits and its application to a homogeneization problem. Zbl 0554.35011
Donato, Patrizia
1983
Semilinear elliptic equations in unbounded domains of $$R^ n$$. Zbl 0456.35033
Donato, Patrizia; Migliaccio, Lucia; Schianchi, Rosanna
1981
all top 5

#### Cited by 788 Authors

 26 Donato, Patrizia 22 Cui, Junzhi 20 Abdulle, Assyr 15 Griso, Georges 14 Cao, Liqun 13 Cioranescu, Doina 12 Timofte, Claudia 11 Legoll, Frédéric 10 Amar, Micol 10 Piatnitski, Andrey L. 10 Ptashnyk, Mariya 10 Shaposhnikova, Tatiana A. 10 Visintin, Augusto 10 Yang, Zhiqiang 9 Dong, Hao 9 Perugia, Carmen 8 Faella, Luisa 8 Gaudiello, Antonio 8 Gómez, Delfina 8 Monsurrò, Sara 8 Muntean, Adrian 8 Nie, Yufeng 8 Pereira, Marcone Corrêa 8 Yang, Zihao 7 Allaire, Grégoire 7 Andreucci, Daniele 7 De Arcangelis, Riccardo 7 De Maio, Umberto 7 Gianni, Roberto 7 Lobo, Miguel Sousa 7 Ma, Qiang 7 Murat, François 7 Musolino, Paolo 7 Nandakumaran, Akambadath Keerthiyil 7 Prakash, Ravi 7 Rohan, Eduard 7 Wall, Peter 6 Arrieta, José M. 6 Dong, Qiaoli 6 Le Bris, Claude 6 Orlik, Julia 6 Pérez, Eugenia 6 Peter, Malte Andreas 6 Rodríguez-Ramos, Reinaldo 5 Chechkin, Gregory Aleksandrovich 5 Damlamian, Alain 5 Giachetti, Daniela 5 Gruais, Isabelle 5 Kogut, Peter I. 5 Lukkassen, Dag 5 Martínez-Aparicio, Pedro J. 5 Mel’nyk, Taras A. 5 Mohammed, Mogtaba A. Y. 5 Pedregal, Pablo 5 Penta, Raimondo 5 Poliševski, Dan A. 5 Sun, Yi 5 Villanueva-Pesqueira, Manuel 4 Bravo-Castillero, Julián 4 Cardone, Giuseppe 4 Chiadò Piat, Valeria 4 Conca, Carlos 4 Diaz Diaz, Jesus Ildefonso 4 Fatima, Tasnim 4 Focardi, Matteo 4 Franchi, Bruno 4 Georgiades, A. V. 4 Ijioma, Ekeoma Rowland 4 Kalamkarov, Alexander L. 4 Kramer, Peter R. 4 Li, Zhihui 4 Meidell, Annette 4 Minvielle, William 4 Muthukumar, Thirumalai Nambi 4 Nakasato, Jean Carlos 4 Pažanin, Igor 4 Pouchon, Timothée 4 Raimondi, Federica 4 Serrano, Hélia 4 Su, Fang 4 Temizer, Ilker 4 Waurick, Marcus 4 Wriggers, Peter 4 Xu, Zhan 4 Zubova, Maria N. 3 Aiyappan, S. 3 Amirat, Youcef Aït 3 Arcoya, David 3 Banks, Harvey Thomas 3 Berlyand, Leonid V. 3 Bunoiu, Renata 3 Chakib, Abdelkrim 3 Chipot, Michel 3 Efendiev, Yalchin R. 3 Fernández Bonder, Julián 3 Ganghoffer, Jean-François 3 Gómez-Castro, David 3 Graf, Isabell 3 Guinovart-Díaz, Raúl 3 Hadjiloizi, D. A. ...and 688 more Authors
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#### Cited in 177 Serials

 28 Journal of Mathematical Analysis and Applications 25 Multiscale Modeling & Simulation 23 Applicable Analysis 20 Computer Methods in Applied Mechanics and Engineering 17 Journal de Mathématiques Pures et Appliquées. Neuvième Série 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 11 Applied Mathematics and Computation 11 Journal of Differential Equations 10 Archive for Rational Mechanics and Analysis 10 International Journal of Engineering Science 10 Mathematical Methods in the Applied Sciences 10 Journal of Mathematical Sciences (New York) 9 Journal of Computational Physics 9 Journal of Computational and Applied Mathematics 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Mathematics and Mechanics of Solids 8 Computers & Mathematics with Applications 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Chinese Annals of Mathematics. Series B 8 Calculus of Variations and Partial Differential Equations 8 Networks and Heterogeneous Media 7 Ricerche di Matematica 7 Asymptotic Analysis 7 SIAM Journal on Mathematical Analysis 7 Nonlinear Analysis. Real World Applications 6 Journal of the Mechanics and Physics of Solids 6 Quarterly of Applied Mathematics 6 Applications of Mathematics 6 European Journal of Mechanics. A. Solids 5 Mathematics and Computers in Simulation 5 Applied Numerical Mathematics 5 European Journal of Applied Mathematics 5 Journal of Elasticity 5 SIAM Journal on Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Nonlinear Analysis. Theory, Methods & Applications 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Functional Analysis 4 SIAM Journal on Numerical Analysis 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Journal of Scientific Computing 4 Applied Mathematical Modelling 4 Continuum Mechanics and Thermodynamics 4 NoDEA. Nonlinear Differential Equations and Applications 4 Discrete and Continuous Dynamical Systems 4 Doklady Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 4 Journal of Elliptic and Parabolic Equations 3 Zeitschrift für Analysis und ihre Anwendungen 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Computational Mechanics 3 Mathematical Problems in Engineering 3 Communications in Contemporary Mathematics 3 Communications on Pure and Applied Analysis 3 Boundary Value Problems 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 2 Acta Mechanica 2 Communications on Pure and Applied Mathematics 2 Journal d’Analyse Mathématique 2 Journal of Engineering Mathematics 2 Journal of Statistical Physics 2 Ukrainian Mathematical Journal 2 Mathematics of Computation 2 SIAM Journal on Control and Optimization 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Communications in Partial Differential Equations 2 SIAM Journal on Scientific Computing 2 Vietnam Journal of Mathematics 2 Abstract and Applied Analysis 2 Revista Matemática Complutense 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Computational Geosciences 2 Discrete and Continuous Dynamical Systems. Series B 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Numerical Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Acta Mechanica Sinica 2 Science China. Mathematics 2 S$$\vec{\text{e}}$$MA Journal 2 Evolution Equations and Control Theory 2 Advances in Nonlinear Analysis 1 International Journal of Modern Physics B 1 Communications in Mathematical Physics 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Nonlinearity 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Bulletin of Mathematical Biology 1 Theoretical and Computational Fluid Dynamics 1 Reviews in Mathematical Physics 1 Chaos, Solitons and Fractals 1 Advances in Mathematics ...and 77 more Serials
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#### Cited in 37 Fields

 459 Partial differential equations (35-XX) 193 Mechanics of deformable solids (74-XX) 96 Numerical analysis (65-XX) 80 Calculus of variations and optimal control; optimization (49-XX) 80 Fluid mechanics (76-XX) 35 Optics, electromagnetic theory (78-XX) 29 Classical thermodynamics, heat transfer (80-XX) 27 Probability theory and stochastic processes (60-XX) 25 Biology and other natural sciences (92-XX) 24 Statistical mechanics, structure of matter (82-XX) 18 Operator theory (47-XX) 14 Systems theory; control (93-XX) 13 Functional analysis (46-XX) 12 Integral equations (45-XX) 7 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Measure and integration (28-XX) 4 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Real functions (26-XX) 3 Statistics (62-XX) 3 Geophysics (86-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX)