ï»¿ Publications de Patrizia Donato

# Publications

• Mes recherches ont donné lieu à 2 livres, 1 Ã©dition d'actes de congrès, 81 articles dans des revues internationales avec comité de lecture et 14 actes de congrès avec comité de lecture.

## Livres

• An Introduction to Homogenization, 1999.
• An Introduction to Classical and Variational Partial Differential Equations, 2012.

## Edition d'actes de congrès

• Homogenization and Applications to Material Sciences, Proc. Nice 1995, 1997.

## Articles

• 81. Unfolding homogenization in doubly periodic media and applications, Chinese Annals of Mathematics, 2018, to appear. [Résumé]
• 80. Existence and uniqueness results for a class of singular elliptic problems in perforated domains, Ricerche mat, 2016, DOI 10.1007/s11587-016-0303-y. [Résumé]
• 79. Existence and homogenization for a singular problem through rough surfaces, SIAM J. of Math. Anal., 48 (6) 2016, 4047-4087. [Résumé]
• 78. Unfolding homogenization in doubly periodic media and applications, Applicable Analysis, 2016, DOI 10.1080/00036811.2016.1209744. [Résumé]
• 77. Asymptotic Analysis of Optimal Controls of a semilinear Problem in a Perforated Domain, J. Ramanujan Math. Soc., 31 (3), 2016, 265-305. [Résumé]
• 76. Homogenization of some evolution problems in domains with small holes, Electron. J. Diff. Equ., 2016 (169), 2016, 1-26. [Résumé]
• 75. Approximate Controllability of a Parabolic System with Imperfect Interfaces, Philippine Journal of Science, 144 (2), December 2015, 187-196. [Résumé]
• 74. Homogenization of elliptic problems with quadratic growth and nonhomogenous Robin conditions in perforated domains, Chin. Ann. Math., 37B (6), 2016, 833-852, doi:10.1007/s11401-016-1008-y. [Résumé]
• 73. The periodic unfolding method for the heat equation in perforated domains, Sci. China Math., 59(5), 2016, 891-906, DOI: 10.1007/s11425-015-5103-4. [Résumé]
• 72. Homogenization of diffusion problems with a nonlinear interfacial resistance, Nonlinear Differ. Equ. Appl. 22, 2015, 1345-1380, DOI 10.1007/s00030-015-0325-2. [Résumé]
• 71. Asymptotic behavior of the approximate controls for parabolic equations with interfacial contact resistance, ESAIM: Control, Optimisation and Calculus of Variations, 21 (1), 2015, 138-164, DOI 10.1051/cocv/2014029. [Résumé]
• 70. Homogenization and correctors of a class of elliptic problems in perforated domains, Asymptotic Analysis, 92 (1), 2015, 1-43 DOI 10.3233/ASY-151288. [Résumé]
• 69. Homogenization of double porosity model in elasticity with imperfect boundaries via periodic unfolding method, Boundary Value Problems, 2013:265, 2013, 1-14. [Résumé]
• 68. From Stokes to Darcy in infinite cylinders: do limits commute?, Differential and Integral Equations, 26 (9-10), 2013, 949-974. [Résumé]
• 67. Bounded solutions for a quasilinear singular problem with nonlinear Robin boundary conditions, Differential and Integral Equations, 26 (9-10), 2013, 949-974. [Résumé]
• 66. The period unfolding method for the wave equations in domains with holes, Advances in Mathematical Sciences and Applications, 22 (2), 2012 521-551. [Résumé]
• 65. Homogenization of some singular nonlinear elliptic problems, International Journal of Pure and Applied Mathematics, 73 (3), 2011, 349-378. [Résumé]
• 64. Homogenization of a quasilinear elliptic problem with nonlinear Robin boundary conditions, Applicable Analysis, 2011, 1-17. [Résumé]
• 63. Existence and Uniqueness for a Quasilinear Elliptic Problem With Nonlinear Robin Conditions, Carpathian J. Math., 27 (2), 2011, 173-184. [Résumé]
• 62. The periodic unfolding method for a class of imperfect transmisson problems, Journal of Mathematical Sciences, 176 (6), 2011, 891-927. [Résumé]
• 61. The periodic unfolding Method in domains with holes, SIAM J. of Math. Anal., 44 (2), 2012, 718-760. [Résumé]
• 60. On the effective interfacial resistence through rough surfaces, Communications in Pure and Applied Analysis, 9(5), 2010, 1295-1310. [Résumé]
• 59. Corrector Results for a Parabolic Problem with a Memory Effect, ESAIM: Mathematical Modelling and Numerical Analysis, (44), 2010, 421-454. [Résumé]
• 58. Correctors for the homogenization of a class of hyperbolic equations with imperfect interface, SIAM Journal on Mathematical Analysis, 40(5), 2009, p. 1952-1978. [Résumé]
• 57. Homogenization and correctors for the wave equation in non periodic perforated domains, Networks and Heterogeneous Media, 3(1), 2008, p. 97-124. [Résumé]
• 56. Asymptotic behavior of elliptic problems in perforated domains with nonlinear boundary conditions in perforated domains, Asymptotic Analysis, 53(4), 2007, p. 209-235. [Résumé]
• 55. Meyers type estimates in elasticity and applications to H-convergence, Advances in Mathematical Sciences and Applications, 16(2), 2007, p. 537-567. [Résumé]
• 54. Homogenization of the wave equation in composites with imperfect interface: a memory effect, Journal de Math. Pures et Appl., 87, 2007, p. 119-143. [Résumé]
• 53. The periodic unfolding method in perforated domains, Port. Math., 63(4), 2006, p. 467-496. [Résumé]
• 52. Some corrector results for composites with imperfect interface, Rendiconti di Matematica, Serie VII, 26, 2006, p. 189-209. [Résumé]
• 51. Periodic Unfolding and Robin Problems in Perforated Domains, C. R. Acad. Sci. Paris, Ser.I 342, 2006, p. 469-474. [Résumé]
• 50. Averaging of nonstationary parabolic operators with large lower order terms, in Multiscale Problems and Asymptotic Analysis , Gakuto Int. Series, Math. Sci. Appl., Vol. 24, 2005, p. 153-165. [Résumé]
• 49. Homogenization of semilinear parabolic equations in perforated domains, Chin. Ann. Math. 25B/2 2004, p. 143-156. [Résumé]
• 48. H0-convergence and iterated homogenization, Asymptotic Analysis, 39 (1), 2004, p. 45-60. [Résumé]
• 47. Homogenization of two heat conductors with an interfacial contact resistance, Analysis and Applications, 2, No 3, 2004, p. 247-273. [Résumé]
• 46. Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?, ESAIM : Control, Optimization and Calculus of Variations - Special Volume: A Tribute to Jacques-Louis Lions, Tome 2, 8, 2002, p. 555-585. [Résumé]
• 45. Approximate Controllability of linear parabolic equations in perforated domains, ESAIM : Control, Optimization and Calculus of Variations, 6, 2001, p. 21-38. [Résumé]
• 44. Homogenization and correctors for the heat equation in perforated domains, Ricerche di Matematica,, vol. L (1), 2001, p. 115-144. [Résumé]
• 43. Convergence of Dirichlet problems for monotone operators in a class of porous media, Ricerche di Matematica, , XLIX, Supplemento (to the memory of E. De Giorgi), 2000, p. 245-268. [Résumé]
• 42. H0-convergence for the linearized elasticity system, Asymptotic Analysis, 21, 1999, p. 161-186. [Résumé]
• 41. H0-convergence as a limit-case of H-convergence, Advances in Mathematical Sciences and Applications, Gakkotosho, Tokyo, 9, No. 1, 1999, p. 319-331. [Résumé]
• 40. H-convergence in perforated domains, Nonlinear partial Differential Equations and Their Applications, Collège de France seminar vol. XIII, D. Cioranescu \& J.-L. Lions eds., Pitman Research Notes in Mathematics Series, Longman, New York, 391, 1998, p. 62-100. [Résumé]
• 39. A compactness result for elliptic equations with subquadratic growth in perforated domains, Nonlinear Analysis, Theory, Methods and Applications, 32, n.3 , 1998, p. 335-361. [Résumé]
• 38. Homogenization of bounded solutions of elliptic equations with quadratic growth in periodically perforated domains, Asymptotic Analysis, 16, 1998, p. 223-243. [Résumé]
• 37. Homogenization of the p-Laplacian in a domain with oscillating boundary, Communications on Applied Nonlinear Analysis, 4 (4), 1997, p. 1-23. [Résumé]
• 36. Homogénéisation et contrôlabilité approchée de l'équation de la chaleur dans des domaines perforés, C. R. Acad. Sci. Paris, 324, I, 1997, p. 789-794. [Résumé]
• 35. An application of the H0-convergence to some nonhomogeneous Neumann problems, Homogenization and Applications to Material Sciences, Proc. Nice 1995, D. Cioranescu, A. Damlamian and P. Donato editors, Gakuto Int. Series, Math. Sciences and Applications vol. 9, Gakkokotosho, Tokyo, Japan, 1997, p. 137-156. [Résumé]
• 34. On a Robin problem in perforated domains, Homogenization and Applications to Material Sciences, Proc. Nice 1995, D. Cioranescu, A. Damlamian and P. Donato editors, Gakuto Int. Series, Math. Sciences and Applications vol. 9, Gakkokotosho, Tokyo, Japanl, 1997, p. 123-135. [Résumé]
• 33. Homogenization of the Stokes problem with non homogeneous slip boundary conditions, Mathematical Methods in Applied Sciences, 19, 1996, p. 857-881. [Résumé]
• 32. Stokes Flow in a Porous Medium with Double Periodicity, Progress in partial differential equations: the Metz surveys 3, Pitman Research Notes in Math. Longman, New York, 314, 1994, p. 116-129. [Résumé]
• 31. Homogenization for some nonlinear problems in perforated domains, Revista de Matemáticas Aplicadas, 15, (1), 1994, p. 17-38. [Résumé]
• 30. Recent controllability results for the wave equation in domains with small holes, SPIE Proceedings vol. 1919, Mathematics in Smart Structures, 1993, p. 307-318. [Résumé]
• 29. Existence results for a nonlinear problem modeling the displacement of a solid in a transverse flow, Modélisation Mathématique et Analyse Numérique, 28 (5), 1994, p. 539-556. [Résumé]
• 28. Homogenization of Poisson equation in a porous medium with double periodicity, Japan J. Industr. Appl. Math., 10, 1993, p. 333-349. [Résumé]
• 27. Approximate boundary controllability for the wave equation in perforated domains, SIAM J. Control and Optimization, 32, (1), 1994, p. 35-50. [Résumé]
• 26. Approximate controllability for the wave equation with oscillating coefficients, Procedings of IFIP conference 1990, Lectures Notes in Control and Information Sciences n.178, Springer-Verlag, 1992, p. 118-124. [Résumé]
• 25. Strong convergence of the exact boundary controllability of the wave equation in perforated domains, Proceedings of the International Conference on Control and Estimation of Distributed Parameter systems, Vorau (Styria), 1990, Desh, Kappel and Kunisch eds, ISNM-Series n.100, Birkäuser Verlag, volume, 1991, p. 99-113. [Résumé]
• 24. A remark on the exact internal controllability in domains with small holes, Methods of Real Analysis and Partial Differential equations, An International Workshop, Capri september 17-20, 1990, Liguori, Napoli, 1990, p. 71-75. [Résumé]
• 23. Homogenization and correctors for the wave equation in domains with small holes, Annali Scuola Norm. Sup. di Pisa, Sc. Fis. Mat., (4), (17), 1991, p. 251-293. [Résumé]
• 22. Homogenization with small shape-varying perforations, SIAM Journal on Math. Analysis, , 22, (3), 1991, p. 639-652. [Résumé]
• 21. Exact boundary controllability for the wave equation in domains with small holes, Journal de Math. Pures et Appl., 71, 1992, p. 343-377. [Résumé]
• 20. Contrôlabilité exacte frontière de l'équation des ondes dans des domaines avec des petits trous,, C. R. Acad. Sci. Paris, 309, I, 1989, p. 473-478. [Résumé]
• 19. Some remarks on the exact controllability in a neighbourhood of the boundary of a perforated domain, JControl of Boundaries and Stabilisation, ed. by J.Simon, Lectures Notes in Control and Information Sciences n.125 Springer-Verlag, 1989, p. 75-94. [Résumé]
• 18. On the homogenization of some nonlinear problems in perforated domains, Rend. Sem. Mat. Univ. di Padova, 84, 1990, p. 91-108. [Résumé]
• 17. Exact internal controllability in perforated domains, Journal de Math. Pures et Appl., 68, 1989, p. 185-213. [Résumé]
• 16. Homogénéisation du problème de Neumann non homogène dans des ouverts perforés,, Asymptotic Analysis, 1, 1988, p. 115-138. [Résumé]
• 15. Non-homogeneous Neumann problems in domains with small holes, Modélisation Mathématique et Analyse Numérique, 22 (4), 1988, p. 561-608. [Résumé]
• 14. Un résultat d'existence pour un problème elliptique quasi-linéaire dans un ouvert non borné, C. R. Acad. Sci. Paris, 303, I, (10) 1986, p. 455-458. [Résumé]
• 13. Convergence of minima of integral functionals and multiplicative perturbations of the integrands, Annali di Mat. Pura e Appl., (4), 150, 1988, p. 341-362. [Résumé]
• 12. On the convergence of Laplace-Beltrami operators associated to quasiregular mappings, Studia Matematica, 86, 1987, p. 190-204. [Résumé]
• 11. Unilateral problems with quadratic growth in unbounded domains, Boll.U.M.I., (6) 5-A, 1986, 361-369. [Résumé]
• 11. Quasilinear elliptic equations with quadratic growth in unbounded domains, Nonlinear Analysis, 10 (8), 1986, p. 791-804. [Résumé]
• 9. Homogenization in weighted Sobolev spaces, Ricerche di Matematica, XXXIV, 2, 1985, p. 289-308. [Résumé]
• 8. Weak convergence of non-uniformly oscillating functions, in Nonlinear variational problems, ed. by A. Marino, L. Modica, S. Spagnolo, M. Degiovanni, Research Notes in Mathematics 127, Pitman, London,, 1985, p. 102-104. [Résumé]
• 7. Alcune osservazioni sulla convergenza debole di funzioni non uniformemente oscillanti, Ricerche di Matematica, XXXII, 2 1983, p. 203-219. [Résumé]
• 6. Una stima per la differenza di H-limiti e qualche applicazione a problemi di omogeneizzazione, Rend. di Matematica, 4, 1983, p. 623-640. [Résumé]
• 5. Teoremi di immersione in aperti non dotati della proprietà di cono, Boll. U.M.I., 4 B, 1985, p. 33-55. [Résumé]
• 4. Proprietà dello spettro di una classe di operatori lineari ellittici in domini non limitati ed applicazioni a problemi semilineari, Annali Univ. di Ferrara, VII, 27, 1981, p. 43-69. [Résumé]
• 3. Semilinear elliptic equations in unbounded domains of Rn, Proc. Roy. Soc. of Edinburgh, 88 A, 1981, p. 109-119. [Résumé]
• 2. Su una classe di spazi di Sobolev con peso in un aperto non limitato di Rn, Rend. Acc. Sc. Fis. Mat. di Napoli, IV, 44, 1977, p. 179-202. [Résumé]
• 1. Spazi di Sobolev con peso e problemi ellittici in un dominio di R2 con punti angolosi, Rend. Circolo Mat. di Palermo, II, 27, 1978, p. 153-209. [Résumé]

## Actes de congrès et notes de cours niveau recherche

• a14. Some recent homogenization results, Actes du Colloque EDP-Normandie, Rouen 2010, 2012. [Résumé]
• a13. Homogenization of a class of imperfect transmission problems, dans "Multiscale Problems: Theory, Numerical Approximation and Applications", Series in Contemporary Applied Mathematics CAM 16, A. Damlamian, B. Miara and T. Li Editors, Higher Education Press, Beijing, 2011, 109-147. [Résumé]
• a12. Ricordare Vittorio, in "Percorsi Incrociati (in ricordo di Vittorio Cafagna)", Rubbettino, 2010, 163-177. [Résumé]
• a11. Quasilinear singular elliptic équations, Proceedings of the Conference "Evolution Equations and Materials with Memory", Roma 2010. [Résumé]
• a10. The periodic unfolding method in perforated domains and applications to Robin problems, in Multiple scales problems in Biomathematics, Mechanics, Physics and Numerics, CIMPA School, Cape Town 2007, GAKUTO International Series Math. Sci. Appl., 31, 2009, 37-66. [Résumé]
• a9. Periodic homogenization in perforated domains with Neumann conditions, Homogenization 2001. Proceedings of the First HMS2000 International School and Conference on Homogenization'', Naples, June 18-22 and 23-27, 2001, L. Carbone and R. De Arcangelis Editors, GAKUTO Internat. Ser. Math. Sci. Appl.,Gakkotosho, Tokyo 18, 2003, p. 169-182. [Résumé]
• a8. Homogenization of monotone operators in a class of porous media, Proc. International Workshop on Asymptotic and Numerical Analysis of Structures and of Heterogeneous Media, June 26-30, 2000, Saint Petersburg, Russia, p. 104-107. [Résumé]
• a7. Homogenization and approximate controllability for the heat equation in perforated domain, Proc. Congrès SIMAI 98, 1, 1998, p. 297-300. [Résumé]
• a6. Fluid flows in dielectric porous media, Optimization, Optimal Control and Partial Differential Equations, First Franco-Romanian Conference, Iasi, sept. 7-11, 1992, Barbu, Bonnans and Tiba eds, ISNM-Series n.107, 1992, p. 3-10. [Résumé]
• a5. Contrôlabilité approchée dans des domaines perforés (en russe), Conférence Petrovskii, Moscou, juillet 1991, Usp. Mat. Nauk 46 (6), 1991, p. 154-155. [Résumé]
• a4. Exact controllability of the wave equation in perforated domains, Proc. 29th Conference on Decision and Control, Honolulu, Hawai, ed. IEEE, December 1990, p. 404-407. [Résumé]
• a3. Exact controllability for the wave equation in domains with small holes, Proc. Ia Reunion Hispano-Italiana de analisis no lineal y matematica aplicada, El Escorial, Madrid, juin 1989, Quaderno CNR n. 27 ed. IEEE, December 1990, p. 35-41. [Résumé]
• a2. Contrôlabilité exacte frontière de l'équation des ondes dans des domaines avec des petits trous, Jornadas Hispano-Francesas sobre control de sistemas distribuidos, ed. Univ. Malaga, Oct. 1990, p. 33-40 [Résumé]
• a1. Recent controllability results for the wave equation in domains with small holes, Proc. 1o Congresso Nazionale della Società Italiana di Matematica Applicata e Industriale, ed. IAC-CNR, nov. 1989, p. 23-35. [Résumé]