## Found 130 Documents (Results 1–100)

100
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### Approximate feedback control for hyperbolic boundary-value problem with rapidly oscillating coefficients in the case of non-convex objective functional. (English)Zbl 1478.49035

Sadovnichiy, Victor A. (ed.) et al., Contemporary approaches and methods in fundamental mathematics and mechanics. Cham: Springer. Underst. Complex Syst., 407-415 (2021).
MSC:  49N35
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### Quantitative homogenization of elliptic operators with periodic coefficients. (English)Zbl 1467.35003

Kenig, Carlos E. (ed.) et al., Harmonic analysis and applications. Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Study (IAS). IAS/Park City Math. Ser. 27, 73-130 (2020).

### Approximate minimax estimation of functionals of solutions to the wave equation under nonlinear observations. (English. Russian original)Zbl 1454.35018

Cybern. Syst. Anal. 56, No. 5, 793-801 (2020); translation from Kibern. Sist. Anal. 2020, No. 5, 126-135 (2020).
MSC:  35B27 35L20
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### Fibre homogenisation. (English)Zbl 1414.35021

MSC:  35B27 35J15 35Q61
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### Application of the averaging method to the problems of optimal control for ordinary differential equations on the semiaxis. (English. Ukrainian original)Zbl 1418.49021

Ukr. Math. J. 70, No. 5, 739-753 (2018); translation from Ukr. Mat. Zh. 70, No. 5, 642-654 (2018).
MSC:  49K15 34K26
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### Operator-norm convergence estimates for elliptic homogenization problems on periodic singular structures. (English. Russian original)Zbl 1402.35029

J. Math. Sci., New York 232, No. 4, 558-572 (2018); translation from Probl. Mat. Anal. 93, 137-148 (2018).
MSC:  35B27 35B25 35J15
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### Dynamics of delay systems with rapidly oscillating coefficients. (English. Russian original)Zbl 1402.34079

Differ. Equ. 54, No. 1, 13-27 (2018); translation from Differ. Uravn. 54, No. 1, 15-29 (2018).
MSC:  34K33
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### Operator estimates in homogenization of elliptic systems of equations. (English. Russian original)Zbl 1382.35026

J. Math. Sci., New York 226, No. 4, 445-461 (2017); translation from Probl. Mat. Anal. 89, 99-112 (2017).
MSC:  35B27 35J47 35B45
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### Optimal boundary estimates for Stokes systems in homogenization theory. (English)Zbl 1379.35013

MSC:  35B27 35J48
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### $$W^{1,p}$$ estimates in homogenization of elliptic systems with measurable coefficients. (English)Zbl 1377.35016

MSC:  35B27 35J47 35B65
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### Convergence rates and $$W^{1,p}$$ estimates in homogenization theory of Stokes systems in Lipschitz domains. (English)Zbl 1378.35026

MSC:  35B27 35R35
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### Homogenization of hyperbolic equations. (English. Russian original)Zbl 1370.35037

Funct. Anal. Appl. 50, No. 4, 319-324 (2016); translation from Funkts. Anal. Prilozh. 50, No. 4, 91-96 (2016).
MSC:  35B27 35L20 35Q74
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### A weak Galerkin generalized multiscale finite element method. (English)Zbl 1337.65156

MSC:  65N30 65N15 35J50
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### Homogenization of elliptic systems with periodic coefficients: operator error estimates in $$L_{2}(\mathbb{R}^{d})$$ with corrector taken into account. (English. Russian original)Zbl 1316.35024

St. Petersbg. Math. J. 26, No. 4, 643-693 (2015); translation from Algebra Anal. 26, No. 4, 195-263 (2014).
MSC:  35B27 35J47 35J10
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### Global regularity and multiscale approach for thermal radiation heat transfer. (English)Zbl 1317.65191

MSC:  65M20 80A20 35K05 65M55 35R05 35B27 65M12
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### Optimal integration of rapidly oscillating functions in the class $$W_{2,L,N}$$ with the use of different information operators. (English. Russian original)Zbl 1303.65011

Cybern. Syst. Anal. 49, No. 2, 229-238 (2013); translation from Kibern. Sist. Anal. 2013, No. 2, 83-93 (2013).
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### Homogenization and dispersion effects in the problem of propagation of waves generated by a localized source. (English. Russian original)Zbl 1293.35279

Proc. Steklov Inst. Math. 281, 161-178 (2013); translation from Tr. Mat. Inst. Steklova 281, 170-187 (2013); corrigendum Proc. Steklov Inst. Math. 288, 265 (2015); translation from Tr. Mat. Inst. Steklova 288, 287 (2015).
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### Using reserves for computation optimization to improve the integration of rapidly oscillating functions. (English. Russian original)Zbl 1302.65291

Cybern. Syst. Anal. 47, No. 4, 613-630 (2011); translation from Kibern. Sist. Anal. 2011, No. 4, 125-145 (2011).
MSC:  65T40 42A16
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### Asymptotic integration of a system of differential equations with a large parameter in the critical case. (Russian, English)Zbl 1249.34123

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 6, 1043-1055 (2011); translation in Comput. Math. Math. Phys. 51, No. 6, 975-986 (2011).
MSC:  34C25 34E10
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### Multiscale computation method for parabolic problems of composite materials. (English)Zbl 1218.65110

MSC:  65M60 35K05 35B27
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### Homogenization of the spectral Dirichlet problem for a system of differential equations with rapidly oscillating coefficients and changing sign density. (English. Russian original)Zbl 1221.35258

J. Math. Sci., New York 169, No. 2, 212-248 (2010); translation from Probl. Mat. Anal. 48, 74-107 (2010).
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### Optimal quadrature evaluation of integrals of rapidly oscillating functions in Lipschitz interpolation class in case of strong oscillation. (English. Russian original)Zbl 1221.65349

Cybern. Syst. Anal. 46, No. 2, 264-270 (2010); translation from Kibern. Sist. Anal. 2010, No. 2, 105-112 (2010).
MSC:  65T40 42A16
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### Homogenization with corrector for a periodic elliptic operator near an edge of inner gap. (English. Russian original)Zbl 1207.35048

J. Math. Sci., New York 159, No. 2, 264-280 (2009); translation from Probl. Mat. Anal. 41, 127-142 (2009).
MSC:  35B27 47F05
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### Homogenization of periodic second order differential operators including first order terms. (English)Zbl 1169.35310

Suslina, T. (ed.) et al., Spectral theory of differential operators. M. Sh. Birman 80th anniversary collection. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4738-1/hbk). Translations. Series 2. American Mathematical Society 225; Advances in the Mathematical Sciences 62, 227-252 (2008).
MSC:  35B27 47F05 35J45

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### The limit absorption principle and homogenization procedure for periodic elliptic operators. (English)Zbl 1177.35027

Funct. Anal. Appl. 42, No. 4, 336-339 (2008); translation from Funkts. Anal. Prilozh. 42, No. 4, 105-108 (2008).
MSC:  35B27
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### Homogenization. (English)Zbl 1182.35023

MSC:  35B27 35-02

### A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions. (English)Zbl 1124.65105

MSC:  65N22 35J25
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### Homogenization of elliptic systems with periodic coefficients: weighted $$L^p$$ and $$L^{\infty}$$ estimates for asymptotic remainders. (English. Russian original)Zbl 1135.35016

St. Petersbg. Math. J. 18, No. 2, 269-304 (2007); translation from Algebra Anal. 18, No. 2, 117-166 (2006).
MSC:  35B27 35A08 35J55 74Q05
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### A local error estimate of the method of multi-scale asymptotic expansions for elliptic problems with rapidly oscillatory coefficients. (English)Zbl 1241.35011

MSC:  35B27 35J25
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### Homogenization with corrector term for periodic elliptic differential operators. (English)Zbl 1175.35007

St. Petersbg. Math. J. 17, No. 6, 897-973 (2006); translation from Algebra Anal. 17, No. 6, 1-104 (2005).
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### Homogenization of semilinear parabolic equations in perforated domains. (English)Zbl 1085.35022

MSC:  35B27 35K55 35K60
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### Some topics on the control and homogenization of parabolic partial differential equations. (English)Zbl 1052.35020

Carbone, Luciano (ed.) et al., Homogenization 2001. Proceedings of the first HMS2000 international school and conference on homogenization, Naples, Italy, June 18–22 and 23–27, 2001. Tokyo: Gakkotosho (ISBN 4-7625-0427-0/hbk). GAKUTO Int. Ser., Math. Sci. Appl. 18, 49-93 (2003).
MSC:  35B27 35K20 49J20 35B37

### Approximate controllability and homogenization of a semilinear elliptic problem. (English)Zbl 1041.93024

MSC:  93C20 93B05 93C10
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### Partial homogenization. (English)Zbl 1177.74319

MSC:  74Q05 74E30 35B27
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### Power boundary layers in the averaging problem for a scalar equation degenerate on the boundary. (English. Russian original)Zbl 1060.35014

J. Math. Sci., New York 107, No. 3, 3874-3910 (2001); translation from Probl. Mat. Anal. 23, 94-146 (2001).
MSC:  35B27 35C20 35J25

### Approximate controllability of linear parabolic equations in perforated domains. (English)Zbl 0964.35015

MSC:  35B27 35K10 93C20
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### A generalized interpolation and its application to a generalized finite element method. (English. Chinese original)Zbl 0952.65058

Chin. J. Numer. Math. Appl. 22, No. 2, 84-92 (2000); translation from Math. Numer. Sin. 22, No. 1, 113-120 (2000).

### Observability of 1-D waves in heterogeneous and semi-discrete media. (English)Zbl 1007.93037

Rodellar, J. (ed.) et al., Advances in structural control. Barcelona: CIMNE. 1-30 (1999).
MSC:  93C20 93B07 35L05

### Homogenization of parabolic equations with contrasting coefficients. (English. Russian original)Zbl 0967.35016

Izv. Math. 63, No. 5, 1015-1061 (1999); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 63, No. 4, 179-224 (1999).
MSC:  35B27 35K57 35K60
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### Homogenization of linear and semilinear second order parabolic PDEs with periodic coefficients: A probabilistic approach. (English)Zbl 0935.35010

MSC:  35B27 60H30
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### Optimal control problems in homogenization. (English)Zbl 0912.35019

Équations aux dérivées partielles et applications. Articles dédiés à Jacques-Louis Lions. Gauthier-Villars: Paris. 597-609 (1998).
MSC:  35B27 35B37

### Uniform null-controllability for the one-dimensional heat equation with rapidly oscillating coefficients. (English. Abridged French version)Zbl 0915.93006

MSC:  93B05 93C20
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### Higher approximations of the homogenization method for quasilinear parabolic equations. (English. Russian original)Zbl 0976.35006

Dokl. Math. 55, No. 2, 248-251 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 353, No. 5, 599-601 (1997).

### Homogenization of an optimal control problem. (English)Zbl 0888.35012

MSC:  35B27 49J20
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### High-order asymptotics of the solution of a problem of optimal control of a distributed system with rapidly oscillating coefficients. (English. Ukrainian original)Zbl 0938.49017

Ukr. Math. J. 48, No. 7, 1063-1073 (1996); translation from Ukr. Mat. Zh. 48, No. 7, 940-948 (1996).
MSC:  49K20 49K40 49N30 80A20
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### The asymptotic expansion of the solution to the Cauchy problem for a parabolic equation in a perforated space. (English. Russian original)Zbl 0917.35009

J. Math. Sci., New York 85, No. 6, 2308-2325 (1997); translation from Tr. Semin. Im. I. G. Petrovskogo 19, 109-137 (1996).
MSC:  35B27 35C20 35K15
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### On the convergence of solutions of parabolic equations with rapidly oscillating coefficients in perforated domains. (English. Russian original)Zbl 0844.35008

J. Math. Sci., New York 75, No. 3, 1631-1645 (1995); translation from Tr. Semin. Im. I. G. Petrovskogo 17, 27-50 (1994).
MSC:  35B27 35K20
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### Approximate controllability for linear parabolic equations with rapidly oscillating coefficients. (English)Zbl 0815.93041

MSC:  93C20 93B05 93C05

### Distributed microstructure models of porous media. (English)Zbl 0805.76082

Douglas, J. jun. (ed.) et al., Flow in porous media. Proceedings of the Oberwolfach conference, Oberwolfach, Germany, June 21-27, 1992. Basel: Birkhäuser. ISNM, Int. Ser. Numer. Math. 114, 159-163 (1993).
MSC:  76S05 35B27

### Mathematical problems in elasticity and homogenization. (English)Zbl 0768.73003

Studies in Mathematics and its Applications. 26. Amsterdam etc.: North- Holland. xiii, 398 p. (1992).
Reviewer: Th. Lévy (Paris)

### Methods for efficient computation of averaged characteristics of composites of periodic structure of essentially heterogeneous materials. (Russian)Zbl 0753.73009

MSC:  74E05 74E30 35B27

### A study of the stability of solutions of linear parabolic equations with nearly constant coefficients and small diffusion. (English. Russian original)Zbl 0786.35067

J. Sov. Math. 60, No. 6, 1742-1764 (1992); translation from Tr. Semin. Im. I. G. Petrovskogo 15, 128-155 (1991).
MSC:  35K10 35B35 34C25
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### Generalization of Fourier integral transform in boundary-value problems for periodic nonhomogeneous medium. (English)Zbl 0713.73011

MSC:  74E05 35B27 74B99

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### Homogenized models of composite media. (English)Zbl 0737.73009

Composite media and homogenization theory, Proc. Int. Cent. Theor. Phys. Workshop, Trieste/Italy 1990, Prog. Nonlinear Differ. Equ. Appl. 5, 159-182 (1991).
Reviewer: Th.Lévy (Paris)
MSC:  74E05 74E30 35B27

### A generalization of the Fourier integral transformation in boundary-value problems of the mechanics of composites. (English. Russian original)Zbl 0734.73054

Sov. Phys., Dokl. 35, No. 11, 980-982 (1990); translation from Dokl. Akad. Nauk SSSR 315, No. 1, 53-56 (1990).
MSC:  74E30 74S30 42B10

### On properties of effective moduli of composite plates. (Russian)Zbl 0717.73051

Reviewer: O.Titow
MSC:  74E30 74K20 35A25

### Elastic wave damping in thin-layered saturated porous media. (English. Russian original)Zbl 0733.73025

J. Appl. Math. Mech. 53, No. 6, 721-727 (1989); translation from Prikl. Mat. Mekh. 53, No. 6, 911-918 (1989).
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### Homogénéisation. (Homogenization). (French)Zbl 0676.73008

Sémin. Bourbaki, 40ème Année, Vol. 1987/88, Exp. No. 686, Astérisque 161-162, 7-30 (1988).
Reviewer: M.Codegone
MSC:  74E05 35B40 74S30 49J45
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### Homogenization problems in elasticity. Spectra of singularly perturbed operators. (English)Zbl 0667.73009

Non-classical continuum mechanics, Proc. Symp., Durham/Engl. 1986, Lond. Math. Soc. Lect. Note Ser. 122, 53-95 (1987).
Reviewer: Th.Lévy

### Averaging of solutions of the Neumann problem for a second-order elliptic equation and systems in elasticity theory with rapidly oscillating periodic coefficients on a perforated domain. (English. Russian original)Zbl 0652.35028

Russ. Math. Surv. 42, No. 6, 237-238 (1987); translation from Usp. Mat. Nauk 42, No. 6, 195-196 (1987).
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### Averaging difference equations with rapidly oscillating coefficients. (Russian)Zbl 0642.39002

Semin. Anal. 1986/87, 63-92 (1987).
Reviewer: J.Gregor
MSC:  39A10 39A70 47B39

### On averaging of the solutions of the Neumann problem for a second order elliptic equation and a system of the theory of elasticity with rapidly oscillating periodic coefficients in a perforated domain. (Russian)Zbl 0637.35029

Reviewer: L. P. Lebedev

### On eigenvalues of boundary value problems for a system of equations of elasticity with rapidly oscillating coefficients in a perforated domain. (Russian)Zbl 0623.73019

Reviewer: L.P.Lebedev
MSC:  74B99 74H99 35P15 74H45 35B40 35J55
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### Averaging and fluctuations of certain stochastic equations. (English)Zbl 0623.60071

Stochastic processes - mathematics and physics II, Proc. 2nd BiBoS Symp., Bielefeld/Ger. 1985, Lect. Notes Math. 1250, 348-355 (1987).
Reviewer: A.D.Borisenko
MSC:  60H10 35R60

### Asymptotic expansions and boundary layers in homogenization problems for differential operators. (English)Zbl 0669.73007

BAIL IV, Proc. 4th Int. Conf. Boundary and interior layers, Novosibirsk/USSR 1986, Conf. Ser. 10, 145-156 (1986).

### Averaging of the mixed problem for a parabolic equation in a perforated domain. (English. Russian original)Zbl 0636.35032

Russ. Math. Surv. 41, No. 4, 185-186 (1986); translation from Usp. Mat. Nauk 41, No. 4(250), 223-224 (1986).
Reviewer: T.O.Shaposhnikova
MSC:  35K20 35B30 35B40
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### On averaging an equation of non-stationary filtration. (Russian)Zbl 0629.35068

Reviewer: P.Popivanov
MSC:  35K60 35D05 35B40

### On homogenization problems for the elasticity system with non-uniformly oscillating coefficients. (English)Zbl 0594.73015

Mathematical analysis, Collect. works dedic. F. G. Tricomi, Teubner-Texte Math. 79, 192-202 (1985).
Reviewer: R.L.Huston

### Averaging of nonlinear almost periodic elliptic operators. (Russian. English summary)Zbl 0581.35018

MSC:  35J60 49J45 35B40

### The use of the homogeneization method in the mechanics of composite materials. (Romanian. English summary)Zbl 0577.73064

Reviewer: N.Cristescu
MSC:  74E30 74F05 74E05

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### Convergence of the energy, stress tensors, and frequencies of natural oscillations in averaging problems arising in elasticity theory. (English. Russian original)Zbl 0588.73035

Sov. Phys., Dokl. 29, 157-159 (1984); translation from Dokl. Akad. Nauk SSSR 274, 1329-1333 (1984).
MSC:  74B99

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