Registro:

Referencias:

• Adams, R.A., Fournier, J.J.F., Sobolev spaces, 2nd ed. (2003) Pure Appl. Math., 140. , Elsevier/ Academic Press, Amsterdam, 140
• Adler, R.J., Feldman, R.E., Gallagher, C., Analysing stable time series (1998) A Practical Guide to Heavy Tails, pp. 133-158. , Birkhäuser Boston, Boston, MA
• Allaire, G., Shape Optimization by the Homogenization Method (2002) Appl. Math. Sci., 146. , Springer, Berlin
• Ansini, N., Dal Maso, G., Zeppieri, C.I., Convergence and H-convergence of linear elliptic operators (2013) J. Math. Pures Appl., 99, pp. 321-329
• Applebaum, D., Levy processes and stochastic calculus (2004) Cambridge Stud. Adv. Math., 93. , Cambridge University Press, Cambridge
• Babuska, I., Homogenization and its application. Mathematical and computational problems (1976) Numerical Solution of Partial Differential Equations III, pp. 89-116. , Academic Press, New York
• Bensoussan, A., Lions, J.-L., Papanicolaou, G., (2011) Asymptotic Analysis for Periodic Structures, , AMS Chelsea Publishing, Providence, RI
• Bertoin, J., Levy Processes (1996) Cambridge Tracts in Math., , Cambridge University Press, Cambridge
• Boccardo, L., Marcellini, P., Sulla convergenza delle soluzioni di disequazioni variazionali (1976) Ann. Mat. Pura Appl., 110, pp. 137-159
• Braides, A., Γ-Convergence for Beginners (2002) Oxford Lecture Ser. Math. Appl., 22. , Oxford University Press, Oxford
• Braides, A., Chiado Piat, V., Defranceschi, A., Homogenization of almost periodic monotone operators (1992) Ann. Inst. H. Poincare Anal. Non Lineaire, 9, pp. 399-432
• Bucur, C., Valdinoci, E., (2015) Nonlocal Diffiusion and Applications, , https://arxiv.org/abs/1504.08292, ArXiv e-prints
• Caffarelli, L., Silvestre, L., Regularity theory for fully nonlinear integro-Differential equations (2009) Comm. Pure Appl. Math., 62, pp. 597-638
• Caffarelli, L., Silvestre, L., The Evans-Krylov theorem for nonlocal fully nonlinear equations (2011) Ann. of Math., 174, pp. 1163-1187
• Caffarelli, L.A., Souganidis, P.E., Wang, L., Homogenization of fully nonlinear,. Uniformly elliptic and parabolic partial Differential equations in stationary ergodic media (2005) Comm. Pure Appl. Math., 58, pp. 319-361
• Chiado Piat, V., Dal Maso, G., Defranceschi, A., G-convergence of monotone operators (1990) Ann. Inst. H. Poincare Anal. Non Lineaire, 7, pp. 123-160
• Chipot, M., Elliptic Equations: An Introductory Course (2009) Birkhäuser Adv. Texts Basler Lehrbücher, , Birkhäuser Boston, Boston, MA
• Cioranescu, D., Donato, P., An Introduction to Homogenization (1999) Oxford Lecture Ser. Math. Appl., 17. , Oxford University Press, Oxford
• Dal Maso, G., An Introduction to Γ-Convergence (1993) Progr. Nonlinear Differential Equations Appl., 8. , Birkhäuser Boston, Boston, MA
• De Giorgi, E., Spagnolo, S., Sulla convergenza degli integrali dell'energia per operatori ellittici del secondo ordine (1973) Boll. Unione Mat. Ital., 8, pp. 391-411
• De Giorgi, E., Sulla convergenza di alcune successioni d'integrali del tipo dell'area (1975) Rend. Mat., 8, pp. 277-294
• De Giorgi, E., Franzoni, T., Su un tipo di convergenza variazionale (1975) Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., 58, pp. 842-850
• Demengel, F., Demengel, G., (2012) Functional Spaces for the Theory of Elliptic Partial Differential Equations, , Universitext, Springer, Berlin
• Di Nezza, E., Palatucci, G., Valdinoci, E., Hitchhiker's guide to the fractional Sobolev spaces (2012) Bull. Sci. Math., 136, pp. 521-573
• Evans, L.C., Periodic homogenisation of certain fully nonlinear partial Differential equations (1992) Proc. Roy. Soc. Edinburgh Sect. A, 120, pp. 245-265
• Felsinger, M., Kassmann, M., Voigt, P., The Dirichlet problem for nonlocal operators (2015) Math. Z., 279, pp. 779-809
• Levy, J.B., Taqqu, M.S., A characterization of the asymptotic behavior of stationary stable processes (1991) Stable Processes and Related Topics, 25, pp. 181-198. , Progr. Probab, Birkhäuser Boston, Boston, MA
• Marcellini, P., Su una convergenza di funzioni convesse (1973) Boll. Unione. Mat. Ital., 8 (4), pp. 137-158
• Murat, F., Compacite par compensation (1978) Ann. Sci. Norm. Super. Pisa Cl. Sci., 5 (4), pp. 489-507. , http://www.numdam.org.sci-hub.io/item?id=ASNSP19784534890, also available online
• Murat, F., Tartar, L., H-convergence (1997) Topics in the Mathematical Modelling of Composite Materials, Progr. Nonlinear Differential Equations Appl., 131, pp. 21-43. , Birkhäuser Boston, Boston, MA
• Pankov, A.A., Averaging and G-convergence of nonlinear elliptic operators of divergence type (1984) Dokl. Akad. Nauk SSSR, 278, pp. 37-41
• Piatnitski, A., Zhizhina, E., Periodic homogenization of nonlocal operators with a convolution-type kernel (2017) SIAM J. Math. Anal., 49, pp. 64-81
• Ros-Oton, X., Serra, J., Boundary Regularity for Fully Nonlinear Integro-Differential Equations (2014) ArXiv E-prints, , https://arxiv.org/abs/1404.1197
• Sanchez-Palencia, E., (1980) Nonhomogeneous Media and Vibration Theory, , Lecture Notes in Phys., Springer, Berlin
• Schilling, R.L., Wang, J., Lower bounded semi-Dirichlet forms associated with Levy type operators (2015) Festschrift Masatoshi Fukushima, Interdiscip. Math. Sci., 17, pp. 507-526. , World Scientitic, Publ., Hackensack, NJ
• Schwab, R.W., Periodic homogenization for nonlinear integro-Differential equations (2010) SIAM J. Math. Anal., 42, pp. 2652-2680
• Schwab, R.W., Stochastic homogenization for some nonlinear integro-Differential equations (2013) Comm. Partial Differential Equations, 38, pp. 171-198
• Silvestre, L., Hölder estimates for solutions of integro-Differential equations like the fractional Laplace (2006) Indiana Univ. Math. J., 55, pp. 1155-1174
• Simon, J., Regularite de la solution d'une equation non lineaire dans RN (1978) Journees d'Analyse Non Lineaire, Lecture Notes in Math., 665, pp. 205-227. , Springer, Berlin
• Spagnolo, S., Sulla convergenza di soluzioni di equazioni paraboliche fied ellittiche (1968) Ann. Sci. Norm. Super. Pisa, 22, pp. 571-597
• Spagnolo, S., Convergence in energy for elliptic operators (1976) Numerical Solution of Partial Differential Equations, III, pp. 469-498. , Academic Press, New York
• Tartar, L., Compensated compactness and applications to partial Differential equations (1979) Nonlinear Analysis and Mechanics Res. Notes in Math., 39, pp. 136-212. , Pitman, Boston, MA
• Tartar, L., Estimation de coefficients homogeneises (1979) Computing Methods in Applied Sciences and Engineering I, Lecture Notes in Math., 704, pp. 364-373. , Springer, Berlin

Citas:

---------- APA ----------

---------- CHICAGO ----------

---------- MLA ----------

---------- VANCOUVER ----------