On operator error estimates for homogenization of hyperbolic systems with periodic coefficients

Journal of Spectral Theory ◽

10.4171/jst/350 ◽

2021 ◽

Author(s):

Yulia Meshkova

Keyword(s):

Error Estimates ◽

Hyperbolic Systems ◽

Periodic Coefficients ◽

Operator Error ◽

Operator Error Estimates

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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

St Petersburg Mathematical Journal ◽

10.1090/spmj/1354 ◽

2015 ◽

Vol 26 (4) ◽

pp. 643-693 ◽

Cited By ~ 1

Author(s):

T. A. Suslina

Keyword(s):

Error Estimates ◽

Elliptic Systems ◽

Periodic Coefficients ◽

Operator Error ◽

Operator Error Estimates

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Operator error estimates for homogenization of the elliptic Dirichlet problem in a bounded domain

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-2013-01274-x ◽

2013 ◽

Vol 24 (6) ◽

pp. 949-976 ◽

Cited By ~ 12

Author(s):

M. A. Pakhnin ◽

T. A. Suslina

Keyword(s):

Dirichlet Problem ◽

Error Estimates ◽

Bounded Domain ◽

Operator Error ◽

Operator Error Estimates

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HOMOGENIZATION OF THE DIRICHLET PROBLEM FOR ELLIPTIC SYSTEMS: ‐OPERATOR ERROR ESTIMATES

Mathematika ◽

10.1112/s0025579312001131 ◽

2013 ◽

Vol 59 (2) ◽

pp. 463-476 ◽

Cited By ~ 49

Author(s):

T. A. Suslina

Keyword(s):

Dirichlet Problem ◽

Error Estimates ◽

Elliptic Systems ◽

Operator Error ◽

Operator Error Estimates

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Operator error estimates in L 2 for homogenization of an elliptic dirichlet problem

Functional Analysis and Its Applications ◽

10.1007/s10688-012-0031-3 ◽

2012 ◽

Vol 46 (3) ◽

pp. 234-238 ◽

Cited By ~ 5

Author(s):

T. A. Suslina

Keyword(s):

Dirichlet Problem ◽

Error Estimates ◽

Operator Error ◽

Operator Error Estimates

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Operator error estimates in the homogenization problem for nonstationary periodic equations

St Petersburg Mathematical Journal ◽

10.1090/s1061-0022-09-01077-2 ◽

2009 ◽

Vol 20 (6) ◽

pp. 873-928 ◽

Cited By ~ 2

Author(s):

M. Sh. Birman ◽

T. A. Suslina

Keyword(s):

Error Estimates ◽

Homogenization Problem ◽

Operator Error ◽

Operator Error Estimates

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Operator Error Estimates for Homogenization of Hyperbolic Equations

Functional Analysis and Its Applications ◽

10.1134/s0016266320010074 ◽

2020 ◽

Vol 54 (1) ◽

pp. 53-58

Author(s):

M. A. Dorodnyi ◽

T. A. Suslina

Keyword(s):

Error Estimates ◽

Hyperbolic Equations ◽

Operator Error ◽

Operator Error Estimates

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Operator error estimates for homogenization of fourth order elliptic equations

St Petersburg Mathematical Journal ◽

10.1090/spmj/1450 ◽

2017 ◽

Vol 28 (2) ◽

pp. 273-289 ◽

Cited By ~ 9

Author(s):

S. E. Pastukhova

Keyword(s):

Error Estimates ◽

Fourth Order ◽

Elliptic Equations ◽

Operator Error ◽

Operator Error Estimates ◽

Fourth Order Elliptic Equations

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Homogenization of the first initial boundary-value problem for parabolic systems: operator error estimates

St Petersburg Mathematical Journal ◽

10.1090/spmj/1521 ◽

2018 ◽

Vol 29 (6) ◽

pp. 935-978 ◽

Cited By ~ 1

Author(s):

Yu. M. Meshkova ◽

T. A. Suslina

Keyword(s):

Boundary Value Problem ◽

Error Estimates ◽

Boundary Value ◽

Parabolic Systems ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Operator Error ◽

Operator Error Estimates ◽

Initial Boundary Value

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Operator error estimates for homogenization of the nonstationary Schrödinger-type equations: sharpness of the results

Applicable Analysis ◽

10.1080/00036811.2021.1901886 ◽

2021 ◽

pp. 1-33

Author(s):

M. A. Dorodnyi

Keyword(s):

Error Estimates ◽

Operator Error ◽

Operator Error Estimates

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Error estimate for optimality of distributed parameter control problems via duality

Journal of Applied Mathematics and Stochastic Analysis ◽

10.1155/s1048953395000165 ◽

1995 ◽

Vol 8 (2) ◽

pp. 177-188

Author(s):

W. L. Chan ◽

S. P. Yung

Keyword(s):

Error Estimate ◽

Error Estimates ◽

Boundary Control ◽

Impulsive Control ◽

Hyperbolic Systems ◽

Distributed Parameter ◽

Control Problems ◽

Parameter Control ◽

Distributed Parameter Control ◽

Sharp Error

Sharp error estimates for optimality are established for a class of distributed parameter control problems that include elliptic, parabolic, hyperbolic systems with impulsive control and boundary control. The estimates are obtained by constructing manageable dual problems via the extremum principle.

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