Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Valerii Konstantinovich Beloshapka"'
Publikováno v:
Izvestiya: Mathematics. 86:852-875
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09b6aa28fc3d9157c1a02d1c9d376522
https://doi.org/10.1070/im9249
https://doi.org/10.1070/im9249
Модификация конструкции Пуанкаре и ее применение в $CR$-геометрии гиперповерхностей в $\mathbf{C}^4$
Publikováno v:
Известия Российской академии наук. Серия математическая. 86:18-42
Обобщение гомологического оператора Пуанкаре - модифицированная конструкция Пуанкаре - ранее была использована для оценки размерности
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f61f595427cf1bcc8289705c31728e3
https://doi.org/10.4213/im9249
https://doi.org/10.4213/im9249
Publikováno v:
Известия Российской академии наук. Серия математическая. 85:5-12
Описаны все решения уравнения Бюргерса, имеющие аналитическую сложность не выше чем один. Оказалось, что все такие решения распадаются
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cde122b2c1a040d751b9f05fd77917c0
https://doi.org/10.4213/im9051
https://doi.org/10.4213/im9051
Publikováno v:
Russian Journal of Mathematical Physics. 27:424-432
The action on the space $$\mathbb C^4$$ of the 7-dimensional Lie group of infinitesimal holomorphic automorphisms of a completely nondegenerate cubic model surface $$Q$$ of CR-type $$(1,3)$$ is considered. All orbits of the given action are found and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::efc81992c7a49d94afb3ddf9e6191d7b
https://doi.org/10.1134/s1061920820040020
https://doi.org/10.1134/s1061920820040020
Publikováno v:
Russian Journal of Mathematical Physics. 27:309-325
All solutions to the Burgers, Hopf, Helmholtz, Klein–Gordon, sine-Gordon, Schrodinger, and Monge–Ampere equations having analytical complexity one (simple solutions) are described. It turns out that all simple solutions of the Burgers and Hopf eq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef5a379d7356267ccd21f4d3865a785d
https://doi.org/10.1134/s1061920820030036
https://doi.org/10.1134/s1061920820030036
Publikováno v:
Russian Journal of Mathematical Physics. 27:155-174
In the paper, the model surface method is applied to arbitrary CR-manifolds of finite Bloom–Graham type. A family of basic assertions is proved. It is proved also that, for a model surface, the condition that the Bloom–Graham type is constant is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce68f08edc65e2605eec2ad78515e680
https://doi.org/10.1134/s1061920820020028
https://doi.org/10.1134/s1061920820020028
Publikováno v:
Mathematical Notes. 105:309-315
The objective of this paper is to trace the increase in the complexity of the description of classes of analytic complexity (introduced by the author in previous works) under the passage from the class Cl1 to the class Cl2. To this end, two subclasse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3159168d8e7c3b8492e60de246c57571
https://doi.org/10.1134/s0001434619030015
https://doi.org/10.1134/s0001434619030015
Publikováno v:
Russian Journal of Mathematical Physics. 26:1-8
In the present paper, the results recently obtained by the author for model manifolds with the Hormander numbers (2,3) without the condition of complete nondegeneracy are extended to an arbitrary Bloom–Graham type. Here a simplifying assumption is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e88ceb2db1ae96c9bac9322b1d6241f
https://doi.org/10.1134/s1061920819010011
https://doi.org/10.1134/s1061920819010011
Publikováno v:
Matematicheskie Zametki. 105:323-331
Цель работы - проследить как нарастает сложность описания классов аналитической сложности (введенных автором в предыдущих работах) при
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f7cc01375cfb7534d29fefcd701ccfda
https://doi.org/10.4213/mzm12056
https://doi.org/10.4213/mzm12056
Publikováno v:
Transactions of the Moscow Mathematical Society. 79:187-200
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c36bb6f34f03d0e7a1a6d1397bb9658
https://doi.org/10.1090/mosc/280
https://doi.org/10.1090/mosc/280