Zobrazeno 1 - 10
of 55
pro vyhledávání: '"Vasilii Vasil'evich Zhikov"'
Publikováno v:
Journal of Mathematical Sciences. 250:569-592
The diffusion equation is considered in an infinite 1-periodic medium. We find large-time approximations for its fundamental solution. The approximation precision has pointwise and integral estimates of orders $$ O\left({t}^{-\frac{d+j+1}{2}}\right)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9b08a1231681026e979e90f0e3af21a
https://doi.org/10.1007/s10958-020-05029-z
https://doi.org/10.1007/s10958-020-05029-z
Publikováno v:
St. Petersburg Mathematical Journal. 30:231-251
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7c5ccaad9168d993bce8513c9defed24
https://doi.org/10.1090/spmj/1540
https://doi.org/10.1090/spmj/1540
Publikováno v:
Contemporary Mathematics. Fundamental Directions. 63:223-246
The diffusion equation is considered in an infinite 1-periodic medium. For its fundamental solution we find approximations at large values of time t. Precision of approximations has pointwise and integral estimates of orders O(t(-d+j+1)/2) and O(t(-j
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::956a219103a038ba1cdaeb2a653520e1
https://doi.org/10.22363/2413-3639-2017-63-2-223-246
https://doi.org/10.22363/2413-3639-2017-63-2-223-246
Publikováno v:
Journal of Mathematical Sciences. 217:736-750
We consider the Γ-convergence of a sequence of integral functionals Fn(u), defined on the functions u from the Sobolev space W1,α(Ω) (α > 1); Ω is a bounded Lipschitz domain, where the integrand fn(x, u,∇u) depends on a function u and its grad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c941a5109f3d265966bbba0454f77f4d
https://doi.org/10.1007/s10958-016-3002-z
https://doi.org/10.1007/s10958-016-3002-z
Publikováno v:
Functional Analysis and Its Applications. 50:204-218
We study the convergence of continuous spectrum eigenfunctions for differential operators of divergence type with e-periodic coefficients, where e is a small parameter. Two cases are considered, the case of classical homogenization, where the coeffic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ab0589479b9bbd7409262cd6305e5a3
https://doi.org/10.1007/s10688-016-0148-x
https://doi.org/10.1007/s10688-016-0148-x
Publikováno v:
Russian Journal of Mathematical Physics. 23:257-277
Differential operators corresponding to elliptic equations of divergent type with 1-periodic coefficients are considered. The equations are put in Sobolev spaces with an arbitrary 1-periodic Borel measure on the entire space R d . In the study of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8af292f092870abda76047cbad909d74
https://doi.org/10.1134/s1061920816020114
https://doi.org/10.1134/s1061920816020114
Publikováno v:
Uspekhi Matematicheskikh Nauk. 71:27-122
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8930c92836afb2630e5f9ba46189bb46
https://doi.org/10.4213/rm9710
https://doi.org/10.4213/rm9710
Publikováno v:
Функциональный анализ и его приложения. 50:47-65
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41a9ee6d7c1bccceb2bdec9caee11de7
https://doi.org/10.4213/faa3242
https://doi.org/10.4213/faa3242
The $\Gamma$-convergence of oscillating integrands with nonstandard coercivity and growth conditions
Publikováno v:
Sbornik: Mathematics. 205:488-521
We study the Γ-convergence as e→0 of a family of integral functionals with integrand f{sub e}(x,u,∇u), where the integrand oscillates with respect to the space variable x. The integrands satisfy a two-sided power estimate on the coercivity and g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0eb228ac1ec66039388d28548af208e0
https://doi.org/10.1070/sm2014v205n04abeh004385
https://doi.org/10.1070/sm2014v205n04abeh004385
Publikováno v:
Математический сборник. 205:33-68
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4f80fdfae90d162091216e29b3ee709
https://doi.org/10.4213/sm8246
https://doi.org/10.4213/sm8246