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Autor:
Vladimir I. Bogachev, Andrey Piatnitski, Svetlana Evgenievna Pastukhova, Anatolii Mikhailovich Stepin, Vasilii Nikolaevich Denisov, Aleksey Stanislavovich Shamaev, Yu. A. Alkhutov, Irina Viktorovna Astashova, A. A. Shkalikov, Valery V. Kozlov, Victor Antonovich Sadovnichii
Publikováno v:
Russian Mathematical Surveys. 73:533-542
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f64db6daddb0f2be5ebab49ff814ebbc
https://doi.org/10.1070/rm9826
https://doi.org/10.1070/rm9826
Autor:
and, Shamaev
Publikováno v:
Russian Mathematical Surveys; June 2018, Vol. 73 Issue: 3 p533-542, 10p
Autor:
Alkhutov, Yu. A., Astashova, I. V., Bogachev, V. I., Denisov, V. N., Kozlov, V. V., Pastukhova, S. E., Piatnitski, A. L., Sadovnichii, V. A., Stepin, A. M., Shamaev, A. S., Shkalikov, A. A.
Publikováno v:
Russian Mathematical Surveys; June 2018, Vol. 73 Issue: 3
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