Zobrazeno 1 - 10
of 76
pro vyhledávání: '"S. E. Pastukhova"'
Autor:
S. E. Pastukhova, O. A. Evseeva
Publikováno v:
Российский технологический журнал, Vol 5, Iss 5, Pp 60-69 (2017)
The Cauchy problem for a linear second order parabolic equation with 1-periodic measurable coefficients is considered Rd, d ≥ 2. The problem models diffusion in a nonhomogeneous periodic medium. The appropriate diffusion operator A is self-adjoint
Externí odkaz:
https://doaj.org/article/ebe0a46233c84fe297a804a01b05bb01
Autor:
S. E. Pastukhova
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 69:134-151
We consider second-order parabolic equations with bounded measurable \(\varepsilon\)-periodic coefficients. To solve the Cauchy problem in the layer \( R^d \times(0,T) \) with the nonhomogeneous equation, we obtain approximations in the norm \(\|\cdo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8634c872f347533168a80d8d0eadc95
https://doi.org/10.22363/2413-3639-2023-69-1-134-151
https://doi.org/10.22363/2413-3639-2023-69-1-134-151
Autor:
S. E. Pastukhova
Publikováno v:
Functional Analysis and Its Applications. 56:310-319
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b92916924af0d571c77d6f9cf3a28644
https://doi.org/10.1134/s0016266322040086
https://doi.org/10.1134/s0016266322040086
Autor:
S. E. Pastukhova
Publikováno v:
Journal of Mathematical Sciences. 268:473-492
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a241ec22e8b986377729c403b237b7f5
https://doi.org/10.1007/s10958-022-06207-x
https://doi.org/10.1007/s10958-022-06207-x
Autor:
S. E. Pastukhova
Publikováno v:
Journal of Mathematical Sciences. 267:382-397
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3547584459c9ee659cbd65e086455ec6
https://doi.org/10.1007/s10958-022-06141-y
https://doi.org/10.1007/s10958-022-06141-y
Autor:
S. E. Pastukhova
Publikováno v:
Journal of Mathematical Sciences. 265:1008-1026
We study homogenization of a second-order elliptic differential operator Aε = - div a(x/ε)∇ acting in an ε-periodically perforated space, where ε is a small parameter. Coefficients of the operator Aε are measurable ε-periodic functions. The s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cab016771752ad658ea7fbfb86dccebd
https://doi.org/10.1007/s10958-022-06097-z
https://doi.org/10.1007/s10958-022-06097-z
Autor:
S. E. Pastukhova
Publikováno v:
Journal of Mathematical Sciences. 262:312-328
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::53b6cfa659771bad942c18e93d7f1231
https://doi.org/10.1007/s10958-022-05819-7
https://doi.org/10.1007/s10958-022-05819-7
Autor:
S. E. Pastukhova
Publikováno v:
Journal of Mathematical Sciences. 259:230-243
For elliptic operators in divergence form with e-periodic coefficients of an arbitrary even order 2m ≥ 4 we obtain e2-order approximations of resolvents in the energy operator norm as e → 0.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::76b81df3926475fdf0aca4b7384dffbd
https://doi.org/10.1007/s10958-021-05613-x
https://doi.org/10.1007/s10958-021-05613-x
Autor:
S. E. Pastukhova
Publikováno v:
Journal of Mathematical Sciences. 255:488-502
We study homogenization of fourth order elliptic operators Ae in divergence form with e-periodic coefficients in ℝd and obtain an e2-order approximation of the resolvents (Ae + 1)−1 in the energy operator (L2→H2)-norm as e → 0.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::18dcfd3063859676f09687202af6eb7a
https://doi.org/10.1007/s10958-021-05387-2
https://doi.org/10.1007/s10958-021-05387-2
Autor:
S. E. Pastukhova
Publikováno v:
St. Petersburg Mathematical Journal. 32:39-57
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f60fefe8fe2de1c0708ded3b799e32a8
https://doi.org/10.1090/spmj/1637
https://doi.org/10.1090/spmj/1637