Boundary layer tails in periodic homogenization, ESAIM: Control, Optimisation and Calculus of Variations, pp.209-243, 1999. ,
UNIFORM SPECTRAL ASYMPTOTICS FOR SINGULARLY PERTURBED LOCALLY PERIODIC OPERATORS, Communications in Partial Differential Equations, vol.90, issue.4, pp.3-4, 2002. ,
DOI : 10.1081/PDE-120002871
Homogenization of Periodic Systems with Large Potentials, Archive for Rational Mechanics and Analysis, vol.90, issue.2, pp.179-220, 2004. ,
DOI : 10.1007/s00205-004-0332-7
Homogenization of a convection???diffusion model with reaction in a porous medium, Comptes Rendus Mathematique, vol.344, issue.8, pp.523-528, 2007. ,
DOI : 10.1016/j.crma.2007.03.008
Homogenization: Averaging processes in periodic media(Russian); English transl, p.1984, 1989. ,
Asymptotic Analysis for Periodic Structure, Studies in Mathematics and its Applications, 1978. ,
Homogenization of multiple integrals, Oxford Lecture Series in Mathematics and its Applications, 1998. ,
Homogenization of a diffusion equation with drift, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.327, issue.9, pp.807-812, 1998. ,
DOI : 10.1016/S0764-4442(99)80109-8
Homogenization of a neutronic critical diffusion problem with drift, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.132, issue.03, pp.567-594, 2002. ,
DOI : 10.1017/S0308210500001785
Korn's inequality for periodic solids and convergence rate of homogenization (submitted) ,
An introduction to homogenization, Oxford Lecture Series in Mathematics and its Applications, 1999. ,
Homogenization of Reticulated Structures, Applied Mechanics Reviews, vol.54, issue.4, 1999. ,
DOI : 10.1115/1.1383678
Averaging of nonstationary parabolic operators with large lower order terms. Multi Scale Problems and Asymptotic Analysis, GAKUTO Internat. Ser. Math. Sci. Appl, vol.24, pp.153-165, 2005. ,
Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder, ZAMP Zeitschrift f???r angewandte Mathematik und Physik, vol.5, issue.3, pp.43-405, 1992. ,
DOI : 10.1007/BF00946237
ASYMPTOTIC AND OTHER ESTIMATES FOR A SEMILINEAR ELLIPTIC EQUATION IN A CYLINDER, The Quarterly Journal of Mechanics and Applied Mathematics, vol.45, issue.4, pp.45-617, 1992. ,
DOI : 10.1093/qjmam/45.4.617
Homogenization of Elliptic Eigenvalue Problems: Part 1, Appl. Math. Optim, issue.05336175, pp.153-167, 1979. ,
Homogenization of Elliptic Eigenvalue Problems: Part 2, Appl. Math. Optim, issue.05336175, pp.197-216, 1979. ,
Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region, Meccanica, vol.164, issue.5, pp.31-597, 1996. ,
DOI : 10.1007/BF00420829
Some recent results on Saint-Venant's principle, Nonlinear analysis and continuum mechanics, pp.61-71, 1998. ,
Reducibility of Quasiperiodic Differential Operators and Averaging. Transc, 1984. ,
Averaging of a three-dimensional problem in elasticity theory for a thin nonhomogeneous beam. (Russian), Vestnik Moskov, Univ. Ser. I Mat. Mekh. Math. Bull, vol.44, issue.55, pp.6-10, 1989. ,
Averaging a three-dimensional problem of elasticity theory in a nonhomogeneous rod. (Russian) , Zh, Vychisl. Mat. i Mat. Fiz. Comput. Math. Math. Phys, vol.31, issue.3110, pp.1592-1596, 1991. ,
On asymptotics of solutions of nonlinear second order elliptic equations in cylindrical domains, Partial differential equations and functional analysis, Progr. Nonlinear Differential Equations Appl, vol.22, pp.160-173, 1996. ,
A variant of a theorem of Phragmen-Lindelof type for elliptic equationswith coefficients that are periodic in all variables but one, Trudy Sem, Petrovsk, issue.0549625, pp.105-136, 1979. ,
Khruslov, Homogenization of partial differential equations, Progress in Mathematical Physics, 2006. ,
An introduction to ?-convergence, Progress in Nonlinear Differential Equations and their Applications, 1993. ,
DOI : 10.1007/978-1-4612-0327-8
The theory of composites, Cambridge Monographs on Applied and Computational Mathematics, vol.6, 2002. ,
DOI : 10.1017/CBO9780511613357
Asymptotic behavior of solutions of the anisotropic heterogeneous linearized elasticity system in thin cylinders, C. R. Acad. Sci. Paris Sér. I Math, pp.328-179, 1999. ,
Polynomial property of self-adjoint boundary value problems and algebraical description of their attributes, pp.54-77, 1999. ,
Structure of the solutions of boundary value problems in thin regions (Russian . English summary), Vestnik Leningrad, Univ. Mat. Mekh. Astronom, vol.126, issue.0664066, pp.65-68, 1982. ,
Justification of the asymptotic theory of thin rods. Integral and pointwise estimates, Journal of Mathematical Sciences, vol.84, issue.No. 2, pp.4245-4279, 1999. ,
DOI : 10.1007/BF02365044
Asymptotics of negative eigenvalues of a Dirichlet problem with sign-changing density function Trudy seminara I.G.Petrovskogo, p.28, 2009. ,
Homogenization of a spectral Dirichlet problem for a system of differential equation with highly-oscillating coefficients in the case of the sign-changing density, R&D Report, issue.2, 2009. ,
Homogenization of spectral problem for periodic elliptic operators with sign-changing weight function, 2008. ,
Inequalities in Mechanics and Physics, 1976. ,
Asymptotic behaviour of solutions to semi-linear elliptic equations on the half-cylinder, ZAMP Zeitschrift f???r angewandte Mathematik und Physik, vol.5, issue.3, pp.43-405, 1992. ,
DOI : 10.1007/BF00946237
ASYMPTOTIC AND OTHER ESTIMATES FOR A SEMILINEAR ELLIPTIC EQUATION IN A CYLINDER, The Quarterly Journal of Mechanics and Applied Mathematics, vol.45, issue.4, pp.45-617, 1992. ,
DOI : 10.1093/qjmam/45.4.617
Elliptic Partial Differential Equations of Second Order Reprint of the 1998 edition, Classics in Mathematics, 2001. ,
A Saint-Venant principle for the gradient in the Neumann problem, Z. Angew. Math. Phys, vol.26, issue.0366152, pp.141-153, 1975. ,
A two?dimensional Saint?Venant principle for second order linear elliptic equations, Quart. Appl. Math, vol.3477, issue.0450770, pp.257-270, 1976. ,
Asymptotic behaviour of solutions to the equation of constant mean curvature on a three-dimensional region, Meccanica, vol.164, issue.5, pp.31-597, 1996. ,
DOI : 10.1007/BF00420829
Some recent results on Saint-Venant's principle, Nonlinear analysis and continuum mechanics, pp.61-71, 1998. ,
A Saint-Venant principle for a class of second-order elliptic boundary value problems, Zeitschrift f??r angewandte Mathematik und Physik ZAMP, vol.4, issue.4, pp.473-490, 1967. ,
DOI : 10.1007/BF01601718
On the behaviour at infinity of solutions of elliptic systems with finite energy integral, Arch. Rational Mech. Anal, issue.11, pp.99-75, 1987. ,
Positive Linear Systems: the Method of Positive Operators, Heldermann, 1989. ,
On asymptotics of solutions of nonlinear second order elliptic equations in cylindrical domains, Partial differential equations and functional analysis, Progr. Nonlinear Differential Equations Appl, vol.22, pp.160-173, 1996. ,
A variant of a theorem of Phragmen-Lindelof type for elliptic equationswith coefficients that are periodic in all variables but one, Trudy Sem, pp.105-136, 1979. ,
Some Methods in the Mathematical Analysis of Systems and Their Controls, Kexue Chubanshe, issue.0664760, 1981. ,
Polynomial property of self-adjoint boundary value problems and algebraical description of their attributes, pp.54-77, 1999. ,
Boundary value problems for second order elliptic equations in unbounded domains and Saint-Venant's principle, pp.4-269, 1977. ,
Multi-Scale Modelling for Structures and Composites, 2005. ,
Homogenization: Averaging processes in periodic media(Russian); English transl, p.1984, 1989. ,
Asymptotic Analysis for Periodic Structure, Studies in Mathematics and its Applications, 1978. ,
Elliptic Partial Differential Equations of Second Order, Reprint of the 1998 edition, Classics in Mathematics, 2001. ,
Averaging of a three-dimensional problem in elasticity theory for a thin nonhomogeneous beam. (Russian), Vestnik Moskov, Univ. Ser. I Mat. Mekh. Math. Bull, vol.44, issue.55, pp.6-10, 1989. ,
Averaging a three-dimensional problem of elasticity theory in a nonhomogeneous rod. (Russian) , Zh, Vychisl. Mat. i Mat. Fiz. Comput. Math. Math. Phys, vol.31, issue.3110, pp.1592-1596, 1991. ,
Ural'tseva, Linear and quasilinear elliptic equations, 1968. ,
Asymptotic behavior of solutions of the anisotropic heterogeneous linearized elasticity system in thin cylinders, C. R. Acad. Sci. Paris Sér. I Math, pp.328-179, 1999. ,
Structure of the solutions of boundary value problems in thin regions (Russian . English summary), Vestnik Leningrad, Univ. Mat. Mekh. Astronom, vol.126, issue.0664066, pp.65-68, 1982. ,
Justification of the asymptotic theory of thin rods. Integral and pointwise estimates, Journal of Mathematical Sciences, vol.84, issue.No. 2, pp.4245-4279, 1999. ,
DOI : 10.1007/BF02365044
Asymptotic analysis of bar systems. I. (English summary), Russian J. Math. Phys, vol.2, issue.3, pp.325-352, 1994. ,
Asymptotic analysis of bar systems, II, Russian J. Math. Phys, vol.4, issue.1, pp.87-116, 1996. ,
On the behaviour at infinity of solutions to stationary convectiondiffusion equation in a cylinder, DCDS-B, vol.11, issue.4, 2009. ,
Averaging for nonlinear problems in the theory of elasticity on thin periodic structures, Dokl. Akad. Nauk, pp.383-596, 2002. ,
Derivation of generalized models for linear elastic beams by asymptotic expansion methods, Applications of multiple scaling in mechanis, Rech. Math. Appl, pp.302-315, 1986. ,
A justification of the one-dimensional linear model of elastic beam, Mathematical Methods in the Applied Sciences, vol.11, issue.4, pp.502-515, 1986. ,
DOI : 10.1002/mma.1670080133
Asymptotic method applied to a beam with a variable cross section. (English summary) Asymptotic methods for elastic structures, de Gruyter, pp.237-254, 1993. ,
Homogenization of a convection???diffusion model with reaction in a porous medium, Comptes Rendus Mathematique, vol.344, issue.8, pp.523-528, 2007. ,
DOI : 10.1016/j.crma.2007.03.008
Local behavior of solutions of quasilinear parabolic equations, Archive for Rational Mechanics and Analysis, vol.113, issue.2, pp.81-122, 1967. ,
DOI : 10.1007/BF00281291
Non-negative solutions of linear parabolic equations, Ann. Scuola Norm. Sup. Pisa, vol.22, issue.3, pp.607-694, 1968. ,
Homogenization: Averaging processes in periodic media, 1989. ,
Asymptotic Analysis for Periodic Structure, Studies in Mathematics and its Applications, 1978. ,
Averaging of nonstationary parabolic operators with large lower order terms. Multi Scale Problems and Asymptotic Analysis, GAKUTO Internat. Ser. Math. Sci. Appl, vol.24, pp.153-165, 2005. ,
Averaging a three-dimensional problem of elasticity theory in a nonhomogeneous rod, Comput. Math. Math. Phys, issue.10, pp.31-128, 1992. ,
Ural'ceva, Linear and quasilinear equations of parabolic type, Translations of Mathematical Monographs, vol.23, 1967. ,
On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder, Discrete and Continuous Dynamical Systems - Series B, vol.11, issue.4, pp.935-970, 2009. ,
DOI : 10.3934/dcdsb.2009.11.935
Derivation of generalized models for linear elastic beams by asymptotic expansion methods, Applications of multiple scaling in mechanis, Rech. Math. Appl, pp.302-315, 1986. ,
A homogenized model of rod in linear elasticity, Applications of multiple scaling in mechanis, Rech. Math. Appl, pp.302-315, 1986. ,
Homogenization of differential operators and integral functionals, 1994. ,
On an extension of the method of two-scale convergence and its applications, Sbornik: Mathematics, vol.191, issue.7, pp.973-1014, 2000. ,
DOI : 10.1070/SM2000v191n07ABEH000491
Homogenization of Periodic Systems with Large Potentials, Archive for Rational Mechanics and Analysis, vol.90, issue.2, pp.179-220, 2004. ,
DOI : 10.1007/s00205-004-0332-7
Homogenization of a nonstationary convection-diffusion equation with large convection in a thin rod and in a layer preprint ,
Uniform spectral asymptotics for singularly perturbed locally periodic operators Comm, Partial Differential Equations, vol.27, pp.3-4, 2002. ,
Homogenization of a convection???diffusion model with reaction in a porous medium, Comptes Rendus Mathematique, vol.344, issue.8, pp.523-528, 2007. ,
DOI : 10.1016/j.crma.2007.03.008
Non-negative solutions of linear parabolic equations, Ann. Scuola Norm. Sup. Pisa, vol.22, issue.04355943, pp.607-694, 1968. ,
On the ???Hot Spots??? Conjecture of J. Rauch, Journal of Functional Analysis, vol.164, issue.1, pp.1-33, 1999. ,
DOI : 10.1006/jfan.1999.3397
Asymptotic Analysis for Periodic Structure, Studies in Mathematics and its Applications, 1978. ,
Averaging a transport equation with small diffusion and oscillating velocity, Mathematical Methods in the Applied Sciences, vol.49, issue.2, pp.95-117, 2003. ,
DOI : 10.1002/mma.344
A counterexample to the " hot spots, conjecture Ann. of Math, issue.2 1, pp.149-309, 1999. ,
Homogenization of a diffusion equation with drift, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.327, issue.9, pp.807-812, 1998. ,
DOI : 10.1016/S0764-4442(99)80109-8
Homogenization of a neutronic critical diffusion problem with drift, Proceedings of the Royal Society of Edinburgh: Section A Mathematics, vol.132, issue.03, pp.567-594, 2002. ,
DOI : 10.1017/S0308210500001785
Averaging of nonstationary parabolic operators with large lower order terms. Multi Scale Problems and Asymptotic Analysis, GAKUTO Internat. Ser. Math. Sci. Appl, vol.24, pp.153-165, 2005. ,
Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures ,
Elliptic Partial Differential Equations of Second Order Reprint of the 1998 edition, Classics in Mathematics, 2001. ,
Homogenization and Porous Media, Interdiscip. Appl. Math, vol.6, 1997. ,
DOI : 10.1007/978-1-4612-1920-0
Reducibility of Quasiperiodic Differential Operators and Averaging. Transc, pp.101-126, 1984. ,
Ural'ceva, Linear and quasilinear equations of parabolic type, Translations of Mathematical Monographs, vol.23, 1967. ,
On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder, Discrete and Continuous Dynamical Systems - Series B, vol.11, issue.4, 2009. ,
DOI : 10.3934/dcdsb.2009.11.935
AVERAGING A SINGULARLY PERTURBED EQUATION WITH RAPIDLY OSCILLATING COEFFICIENTS IN A LAYER, Mathematics of the USSR-Sbornik, vol.49, issue.1, pp.19-40, 1984. ,
DOI : 10.1070/SM1984v049n01ABEH002694
On the transport-diffusion algorithm and its applications to the Navier-Stokes equations Numer, Math, vol.3882, issue.0654100 3, pp.309-332, 1981. ,
Lecture #1. Five problems: An introduction to the qualitative theory of partial differential equations, Tulane Univ. Lecture Notes in Math, vol.446, pp.355-369, 1974. ,
DOI : 10.1007/BFb0070610
Homogenization of differential operators and integral functionals, 1994. ,
Asymptotic behavior and stabilization of solutions of a second-order parabolic equation with lowest terms, Transc. Moscow Math. Soc, vol.2, issue.0737901, 1984. ,
Homogenization of Periodic Systems with Large Potentials, Archive for Rational Mechanics and Analysis, vol.90, issue.2, pp.179-220, 2004. ,
DOI : 10.1007/s00205-004-0332-7
Homogenization of a convection???diffusion model with reaction in a porous medium, Comptes Rendus Mathematique, vol.344, issue.8, pp.523-528, 2007. ,
DOI : 10.1016/j.crma.2007.03.008
Homogenization and concentration for a diffusion equation with large convection in a bounded domain, Journal of Functional Analysis, vol.262, issue.1 ,
DOI : 10.1016/j.jfa.2011.09.014
URL : https://hal.archives-ouvertes.fr/hal-00784043
Asymptotic Analysis for Periodic Structure, Studies in Mathematics and its Applications, 1978. ,
Homogenization of a diffusion equation with drift, Comptes Rendus de l'Acad??mie des Sciences - Series I - Mathematics, vol.327, issue.9, pp.807-812, 1998. ,
DOI : 10.1016/S0764-4442(99)80109-8
Averaging of nonstationary parabolic operators with large lower order terms. Multi Scale Problems and Asymptotic Analysis, GAKUTO Internat. Ser. Math. Sci. Appl, vol.24, pp.153-165, 2005. ,
Elliptic Partial Differential Equations of Second Order Reprint of the 1998 edition, Classics in Mathematics, 2001. ,
Reducibility of quasiperiodic differential operators and averaging. (Russian) Trudy Moskov, Mat. Obshch, pp.46-99, 1983. ,
Linear and quasilinear equations of parabolic type, Translations of Mathematical Monographs, vol.23, 1967. ,
On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder, Discrete and Continuous Dynamical Systems - Series B, vol.11, issue.4, 2009. ,
DOI : 10.3934/dcdsb.2009.11.935
AVERAGING A SINGULARLY PERTURBED EQUATION WITH RAPIDLY OSCILLATING COEFFICIENTS IN A LAYER, Mathematics of the USSR-Sbornik, vol.49, issue.1, pp.19-40, 1984. ,
DOI : 10.1070/SM1984v049n01ABEH002694
Homogenization of differential operators and integral functionals 33 PAPER F PAPER F Homogenization of spectral problem for periodic elliptic operators with sign-changing density function S, p.3, 1994. ,
UNIFORM SPECTRAL ASYMPTOTICS FOR SINGULARLY PERTURBED LOCALLY PERIODIC OPERATORS, Communications in Partial Differential Equations, vol.90, issue.4, pp.3-4, 2002. ,
DOI : 10.1081/PDE-120002871
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.629
Homogenization of Periodic Systems with Large Potentials, Archive for Rational Mechanics and Analysis, vol.90, issue.2, pp.179-220, 2004. ,
DOI : 10.1007/s00205-004-0332-7
Spectral Theory of Self-Adjoint Operators in Hilbert Space, 1987. ,
DOI : 10.1007/978-94-009-4586-9
Korn's inequality for periodic solids and convergence rate of homogenization (submitted) ,
Elliptic Partial Differential Equations of Second Order, Reprint of the 1998 edition, Classics in Mathematics, 2001. ,
Homogenization of Elliptic Eigenvalue Problems: Part 1, Appl. Math. Optim, issue.05336175, pp.153-167, 1979. ,
Homogenization of Elliptic Eigenvalue Problems: Part 2, Appl. Math. Optim, issue.05336175, pp.197-216, 1979. ,
Asymptotic analysis of thin plates and rods, p.2002 ,
Asymptotics of negative eigenvalues of a Dirichlet problem with sign-changing density function Trudy seminara I.G.Petrovskogo, p.28, 2009. ,
Homogenization of the spectral Dirichlet problem for a system of differential equations with rapidly oscillating coefficients and changing sign sensity. (English), Journal of Mathematical Sciences, vol.169, issue.2, p.212248, 2010. ,
Mathematical problems in elasticity and homogenization, Studies in Mathematics and its Applications, 1992. ,
Regular degeneration and boundary layer for linear differential equations with small parameter, Nauk (N.S.), vol.12, issue.577, pp.3-122, 1957. ,
Homogenization of differential operators and integral functionals, 1994. ,
Linear operators in spaces with an indefinite metric, 1989. ,
Introduction to the theory of linear nonselfadjoint operators, Translations of Mathematical Monographs, vol.18, 1969. ,
Homogenization of Elliptic Eigenvalue Problems: Part 1, Appl. Math. Optim, issue.05336175, pp.153-167, 1979. ,
Homogenization of Elliptic Eigenvalue Problems: Part 2, Appl. Math. Optim, issue.05336175, pp.197-216, 1979. ,
Partial differential equations Mathematical physics, an advanced course English transl. North-Holland Ser. in Appl, Nauka, Moscow) Math. Mech, issue.10 11, 1968. ,
Homogenization of a spectral Dirichlet problem for a system of differential equation with highly-oscillating coefficients in the case of the sign-changing density, R&D Report, issue.2, 2009. ,
Homogenization of spectral problem for periodic elliptic operators with sign-changing weight function, 2008. ,
Mathematical problems in elasticity and homogenization, Studies in Mathematics and its Applications, 1992. ,
On the behaviour at infinity of solutions to stationary convectiondiffusion equation in a cylinder, DCDS-B, vol.11, issue.4, 2009. ,
Hermitian operators in spaces with indefinite metric, Russian) Bull. Acad. Sci. URSS. Ser. Math. [Izvestia Akad. Nauk SSSR] 8, pp.243-280, 1944. ,
Nonclassical problems. Inverse and Ill-posed Problems Series, VSP, 2002. ,
Regular degeneration and boundary layer for linear differential equations with small parameter, Nauk (N.S.), vol.12, issue.577, pp.3-122, 1957. ,
Homogenization of differential operators and integral functionals, 1994. ,
On an extension of the method of two-scale convergence and its applications, Sbornik: Mathematics, vol.191, issue.7, pp.973-1014, 2000. ,
DOI : 10.1070/SM2000v191n07ABEH000491