Zobrazeno 1 - 10
of 177
pro vyhledávání: '"Vladimir E. Nazaikinskii"'
Publikováno v:
Theoretical and Mathematical Physics. 208:1018-1037
We illustrate the construction and application of the Maslov canonical operator with examples of Bessel functions. For real values of the argument, we derive representations of these functions in terms of a canonical operator and, as a consequence, o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8ac7d640dd313d4cc909ae60d4e740f7
https://doi.org/10.1134/s0040577921080031
https://doi.org/10.1134/s0040577921080031
Publikováno v:
Uspekhi Matematicheskikh Nauk. 76:3-80
Начальные данные в задаче Коши мы называем локализованными, если они задаются функциями, сосредоточенными в окрестности подмногообраз
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::405869175aecd0a3dbf14da24965ecef
https://doi.org/10.4213/rm9973
https://doi.org/10.4213/rm9973
Publikováno v:
Russian Journal of Mathematical Physics. 28:22-36
A version of Maslov’s canonical operator on Lagrangian manifolds with singularities of special form (the so-called punctured manifolds) is described. These manifolds naturally arise in the construction of asymptotic solutions for a wide class diffe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf2058d0840a4fe55158554511380f03
https://doi.org/10.1134/s1061920821010040
https://doi.org/10.1134/s1061920821010040
Publikováno v:
Russian Journal of Mathematical Physics. 27:456-468
Let $$00$$ . For any $$T>0$$ and $$k\in\overline{\mathbb{N}}=\mathbb{N}\cup\{\infty\}$$ , let $$N(k,T)$$ be the number of solutions $$\{n_j\}_{j=1}^k$$ , $$n_j\in \mathbb{N}_0=\mathbb{N}\cup\{0\}$$ , of the inequality $$\sum_{j=1}^{k}n_jt_j\le T$$ .
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7257c77ee197ef27cd76b4082603f697
https://doi.org/10.1134/s1061920820040056
https://doi.org/10.1134/s1061920820040056
Publikováno v:
Computational Mathematics and Mathematical Physics. 60:1348-1360
The Cauchy problem with localized initial conditions is considered for a large class of evolution equations that includes the Schrodinger and Dirac equations, Maxwell equations, linearized fluid dynamics equations, equations of the linear theory of s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::557df7704e3520f9374e0ed23c1d2107
https://doi.org/10.1134/s0965542520080060
https://doi.org/10.1134/s0965542520080060
Publikováno v:
Mathematical Notes. 107:847-853
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6f532cba78e52dd6e5754931b3e4d43
https://doi.org/10.1134/s0001434620050132
https://doi.org/10.1134/s0001434620050132
Publikováno v:
Russian Journal of Mathematical Physics. 27:185-191
We consider the Cauchy problem with localized initial data for a linear pseudodifferential equation describing water waves with dispersion taken into account and obtain a uniform asymptotic solution in a neighborhood of regular points of the wave fro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd24ddda3ee8f55077709446c20b0089
https://doi.org/10.1134/s1061920820020041
https://doi.org/10.1134/s1061920820020041
Publikováno v:
SIAM Journal on Applied Mathematics. 80:2120-2143
An initial-boundary value problem for a quasilinear system describing deep bed filtration of a monodisperse suspension in a medium with pores of various sizes is investigated analytically. The filt...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cca42ea18d8bdab4b2c47a0b0350e04d
https://doi.org/10.1137/19m1309195
https://doi.org/10.1137/19m1309195
Publikováno v:
Matematicheskie Zametki. 107:780-786
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34b81fb1d351c5bb5da90447448d584a
https://doi.org/10.4213/mzm12627
https://doi.org/10.4213/mzm12627
Publikováno v:
Theoretical and Mathematical Physics. 201:1742-1770
We consider stationary scalar and vector problems for differential and pseudodifferential operators leading to the appearance of asymptotic solutions of one-dimensional problems localized in a neighborhood of intervals (“bound states”). Based on
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e6bc1149ac8781eeb9966f196c3f2724
https://doi.org/10.1134/s0040577919120079
https://doi.org/10.1134/s0040577919120079