Applicable Analysis, Volume 98, Issue 1-2 (2019)

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Applicable Analysis, Volume 98, Issue 1-2 (2019)

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Homogenization and Qualitative Theory of Differential Equations dedicated to the memory of Vassily Vassilievich Zhikov

Introductions

Introduction
Vassily Vassilievich Zhikov
Grigory Panasenko, Robert P. Gilbert & Alexander Pankov
Pages: 1-2
Published online: 04 Dec 2018
CitationforVassily Vassilievich Zhikov | Full Text | PDF (179.7 KB) | EPUB
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Free Access

Articles

Article
Homogenization of higher-order parabolic systems in a bounded domain
T. A. Suslina
Pages: 3-31
Published online: 29 Nov 2017
AbstractforHomogenization of higher-order parabolic systems in a bounded domain | Full Text | References | PDF (2.2 MB) | EPUB
  • 122 Views
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Article
Rate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system
Aleksandra G. Chechkina, Ciro D’Apice & Umberto De Maio
Pages: 32-44
Published online: 21 Dec 2017
AbstractforRate of convergence of eigenvalues to singularly perturbed Steklov-type problem for elasticity system | Full Text | References | PDF (1.1 MB) | EPUB
  • 84 Views
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Article
Homogenization of networks in domains with oscillating boundaries
Andrea Braides & Valeria Chiadò Piat
Pages: 45-63
Published online: 31 Jan 2018
AbstractforHomogenization of networks in domains with oscillating boundaries | Full Text | References | PDF (1.7 MB) | EPUB
  • 107 Views
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Article
Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients
I. V. Kamotski & V. P. Smyshlyaev
Pages: 64-90
Published online: 27 Feb 2018
AbstractforTwo-scale homogenization for a general class of high contrast PDE systems with periodic coefficients | Full Text | References | PDF (2 MB) | EPUB
  • 187 Views
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Article
Stochastic homogenisation of high-contrast media
Mikhail Cherdantsev, Kirill Cherednichenko & Igor Velčić
Pages: 91-117
Published online: 06 Aug 2018
AbstractforStochastic homogenisation of high-contrast media | Full Text | References | PDF (1.8 MB) | EPUB
  • 1255 Views
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Open Access
Article
Corrector problem in the deterministic homogenization of nonlinear elliptic equations
Giuseppe Cardone & Jean Louis Woukeng
Pages: 118-135
Published online: 21 Mar 2018
AbstractforCorrector problem in the deterministic homogenization of nonlinear elliptic equations | Full Text | References | PDF (1.4 MB) | EPUB
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Article
Derivation of a poroelastic elliptic membrane shell model
Andro Mikelić & Josip Tambača
Pages: 136-161
Published online: 31 Jan 2018
AbstractforDerivation of a poroelastic elliptic membrane shell model | Full Text | References | PDF (2 MB) | EPUB
  • 102 Views
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Article
Viscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting properties
G. P. Panasenko & R. Stavre
Pages: 162-216
Published online: 07 Mar 2018
AbstractforViscous fluid-thin cylindrical elastic body interaction: asymptotic analysis on contrasting properties | Full Text | References | PDF (4 MB) | EPUB
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Article
Limit behaviour of diffusion in high-contrast periodic media and related Markov semigroups
A. Piatnitski, S. Pirogov & E. Zhizhina
Pages: 217-231
Published online: 28 May 2018
AbstractforLimit behaviour of diffusion in high-contrast periodic media and related Markov semigroups | Full Text | References | PDF (1.1 MB) | EPUB
  • 75 Views
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Article
Classification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles
J. I. Díaz, D. Gómez-Castro, T. A. Shaposhnikova & M. N. Zubova
Pages: 232-255
Published online: 05 Mar 2018
AbstractforClassification of homogenized limits of diffusion problems with spatially dependent reaction over critical-size particles | Full Text | References | PDF (1.8 MB) | EPUB
  • 66 Views
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Article
Weak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients
Kuanysh A. Bekmaganbetov, Gregory A. Chechkin & Vladimir V. Chepyzhov
Pages: 256-271
Published online: 14 Nov 2017
AbstractforWeak convergence of attractors of reaction–diffusion systems with randomly oscillating coefficients | Full Text | References | PDF (1.6 MB) | EPUB
  • 156 Views
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Article
Lp theory for Boussinesq system with Dirichlet boundary conditions
Paul Acevedo, Chérif Amrouche & Carlos Conca
Pages: 272-294
Published online: 19 Oct 2018
AbstractforLp theory for Boussinesq system with Dirichlet boundary conditions | Full Text | References | PDF (1.6 MB) | EPUB
  • 139 Views
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Article
Well-posedness of steady state Navier–Stokes equations with slip boundary conditions
J. E. C. Lope, R. Sato & B. Vernescu
Pages: 295-309
Published online: 31 May 2018
AbstractforWell-posedness of steady state Navier–Stokes equations with slip boundary conditions | Full Text | References | PDF (1 MB) | EPUB
  • 174 Views
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Article
Higher regularity of solutions of singular parabolic equations with variable nonlinearity
S. Antontsev & S. Shmarev
Pages: 310-331
Published online: 04 Oct 2017
AbstractforHigher regularity of solutions of singular parabolic equations with variable nonlinearity | Full Text | References | PDF (1.6 MB) | EPUB
  • 186 Views
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Article
A Harnack inequality for a transmission problem with p(x)-Laplacian
Yu. A. Alkhutov & M. D. Surnachev
Pages: 332-344
Published online: 11 Jan 2018
AbstractforA Harnack inequality for a transmission problem with p(x)-Laplacian | Full Text | References | PDF (1.1 MB) | EPUB
  • 93 Views
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Article
Galerkin approximations in problems with anisotropic p(·)-Laplacian
S. E. Pastukhova & D. A. Yakubovich
Pages: 345-361
Published online: 21 Mar 2018
AbstractforGalerkin approximations in problems with anisotropic p(·)-Laplacian | Full Text | References | PDF (1.3 MB) | EPUB
  • 102 Views
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Article
On monotonicity of some functionals with variable exponent under symmetrization
S. V. Bankevich & A. I. Nazarov
Pages: 362-373
Published online: 11 Feb 2018
AbstractforOn monotonicity of some functionals with variable exponent under symmetrization | Full Text | References | PDF (1,003.7 KB) | EPUB
  • 54 Views
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Article
Sharp 𝒜-harmonic approximation
David Cruz-Uribe & Lars Diening
Pages: 374-380
Published online: 11 Jan 2018
AbstractforSharp 𝒜-harmonic approximation | Full Text | References | PDF (627.2 KB) | EPUB
  • 122 Views
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Article
Bohr-Neugebauer property for almost automorphic partial functional differential equations
Brahim Es-sebbar, Khalil Ezzinbi & Gaston M. N’Guérékata
Pages: 381-407
Published online: 08 Oct 2017
AbstractforBohr-Neugebauer property for almost automorphic partial functional differential equations | Full Text | References | PDF (2 MB) | EPUB
  • 161 Views
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Article
A fast solution method for time dependent multidimensional Schrödinger equations
F. Lanzara, V. Maz’ya & G. Schmidt
Pages: 408-429
Published online: 08 Aug 2017
AbstractforA fast solution method for time dependent multidimensional Schrödinger equations | Full Text | References | PDF (2.6 MB) | EPUB
  • 308 Views
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Article
Singular weighted Sobolev spaces and diffusion processes: an example (due to V.V. Zhikov)
Alberto Chiarini & Pierre Mathieu
Pages: 430-457
Published online: 22 Jun 2018
AbstractforSingular weighted Sobolev spaces and diffusion processes: an example (due to V.V. Zhikov) | Full Text | References | PDF (2.2 MB) | EPUB
  • 172 Views
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Article
Numerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices
Víctor Barrera-Figueroa, Vladimir S. Rabinovich & Miguel Maldonado Rosas
Pages: 458-482
Published online: 28 Dec 2017
AbstractforNumerical estimates of the essential spectra of quantum graphs with delta-interactions at vertices | Full Text | References | PDF (2.5 MB) | EPUB
  • 113 Views
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