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Multidimensional Nonautonomous Evolution Monge–Ampère Type Equations 多维非自主进化蒙日-安培方程
IF 0.7 4区 数学
Siberian Mathematical Journal Pub Date : 2024-07-01 DOI: 10.1134/s0037446624040219
I. V. Rakhmelevich
{"title":"Multidimensional Nonautonomous Evolution Monge–Ampère Type Equations","authors":"I. V. Rakhmelevich","doi":"10.1134/s0037446624040219","DOIUrl":"https://doi.org/10.1134/s0037446624040219","url":null,"abstract":"","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141715475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimates for the Convergence Rate of a Fourier Series in Laguerre–Sobolev Polynomials 拉盖尔-索博列夫多项式中傅里叶级数的收敛率估计值
IF 0.7 4区 数学
Siberian Mathematical Journal Pub Date : 2024-07-01 DOI: 10.1134/s0037446624040025
R. Gadzhimirzaev
{"title":"Estimates for the Convergence Rate of a Fourier Series in Laguerre–Sobolev Polynomials","authors":"R. Gadzhimirzaev","doi":"10.1134/s0037446624040025","DOIUrl":"https://doi.org/10.1134/s0037446624040025","url":null,"abstract":"","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141694232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Inverse Problem for the Heat Equation with Two Unknown Coefficients 具有两个未知系数的热方程的逆问题
IF 0.5 4区 数学
Siberian Mathematical Journal Pub Date : 2024-05-29 DOI: 10.1134/s0037446624030170
M. R. Ishmeev
{"title":"The Inverse Problem for the Heat Equation with Two Unknown Coefficients","authors":"M. R. Ishmeev","doi":"10.1134/s0037446624030170","DOIUrl":"https://doi.org/10.1134/s0037446624030170","url":null,"abstract":"<p>We solve the simultaneous recovery of thermal conductivity and a high-frequency coefficient of a source\u0000in a one-dimensional initial-boundary value problem for the heat equation with\u0000Dirichlet boundary conditions and an inhomogeneous initial condition\u0000from some information on the partial asymptotics of a solution. We show\u0000that the coefficients can be restored from some data on the asymptotics of a solution,\u0000which is constructed and justified.\u0000This article was inspired by Denisov’s research on a variety of inverse\u0000problems without accounting for high-frequency oscillations.\u0000Also, we continue the research by Levenshtam and his students which firstly\u0000addressed the inverse problems for parabolic equations with high-frequency coefficients and developed the relevant\u0000methodology. In contrast to\u0000the previous research of the case that only the source function or its factors are unknown,\u0000we assume that the thermal conductivity and the factor of a source function\u0000are unknown simultaneously.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141169483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ITBM-Constructive Completions of Algebras ITBM-算法的构造补全
IF 0.5 4区 数学
Siberian Mathematical Journal Pub Date : 2024-05-29 DOI: 10.1134/s003744662403008x
A. S. Morozov
{"title":"ITBM-Constructive Completions of Algebras","authors":"A. S. Morozov","doi":"10.1134/s003744662403008x","DOIUrl":"https://doi.org/10.1134/s003744662403008x","url":null,"abstract":"<p>We introduce the notion of ITBM-constructive algebra, which is a generalization of the notion of constructive algebra,\u0000and study completions of such algebras.\u0000We obtain some criterion for the existence of completions for metrized algebras\u0000and prove that each ITBM-constructive metrized algebra\u0000which has completion can be naturally extended to the ITBM-constructive\u0000completion. Using these results, we establish the existence of\u0000ITBM-constructive presentations for some particular algebras.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141169605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Regular Subgroups in  $ operatorname{Lim}(N) $ 论 $ operatorname{Lim}(N) $ 中的正则子群
IF 0.5 4区 数学
Siberian Mathematical Journal Pub Date : 2024-05-29 DOI: 10.1134/s0037446624030121
N. M. Suchkov, A. A. Shlepkin
{"title":"On Regular Subgroups in  $ operatorname{Lim}(N) $","authors":"N. M. Suchkov, A. A. Shlepkin","doi":"10.1134/s0037446624030121","DOIUrl":"https://doi.org/10.1134/s0037446624030121","url":null,"abstract":"<p>Let <span>( G )</span> be the group of all limited permutations of the set of naturals.\u0000We prove that every countable locally finite group is isomorphic to some regular\u0000subgroup of <span>( G )</span>. Also, if a regular subgroup <span>( H )</span> of <span>( G )</span> contains an element\u0000of infinite order then <span>( H )</span> has a normal infinite cyclic subgroup of finite index.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141169558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Constructions of Quandles over Groups and Rings 群和环上的余弦构造
IF 0.5 4区 数学
Siberian Mathematical Journal Pub Date : 2024-05-29 DOI: 10.1134/s003744662403011x
A. A. Simonov, M. V. Neshchadim, A. N. Borodin
{"title":"Constructions of Quandles over Groups and Rings","authors":"A. A. Simonov, M. V. Neshchadim, A. N. Borodin","doi":"10.1134/s003744662403011x","DOIUrl":"https://doi.org/10.1134/s003744662403011x","url":null,"abstract":"<p>We present the following constructions: extension of a trivial quandle\u0000by a group with a nontrivial abelian subgroup,\u0000a quandle over a noncommutative group\u0000by an arbitrary antiautomorphism,\u0000a quandle presenting from a generalized Alexander quandle\u0000with the replacement of the automorphism by a central antiautomorphism, and\u0000a quandle over an <span>( n )</span>-dimensional module\u0000depending on <span>( n(n-1)-1 )</span>\u0000parameters with <span>( ngeq 2 )</span> in a commutative unital ring.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141169496","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Example of a Relatively Maximal Nonpronormal Subgroup of Odd Order in a Finite Simple Group 有限简单群中奇数阶相对最大的非正则子群实例
IF 0.5 4区 数学
Siberian Mathematical Journal Pub Date : 2024-05-29 DOI: 10.1134/s0037446624030133
X. Zhang, L. Su, D. O. Revin
{"title":"An Example of a Relatively Maximal Nonpronormal Subgroup of Odd Order in a Finite Simple Group","authors":"X. Zhang, L. Su, D. O. Revin","doi":"10.1134/s0037446624030133","DOIUrl":"https://doi.org/10.1134/s0037446624030133","url":null,"abstract":"<p>We prove the existence of a triple <span>( ({mathfrak{X}},G,H) )</span>, where <span>( {mathfrak{X}} )</span>\u0000is a class of finite groups consisting of groups of odd order which is complete\u0000(i.e., closed under subgroups, homomorphic images, and extensions),\u0000<span>( G )</span> is a finite simple group, <span>( H )</span> is an <span>( {mathfrak{X}} )</span>-maximal subgroup in <span>( G )</span>,\u0000and <span>( H )</span> is not pronormal in <span>( G )</span>.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141169492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Coercive Estimate for the Nonhomogeneous Differential Operator on the Heisenberg Group 海森堡群上非均质微分算子的强制估计
IF 0.5 4区 数学
Siberian Mathematical Journal Pub Date : 2024-05-29 DOI: 10.1134/s0037446624030157
D. V. Isangulova
{"title":"A Coercive Estimate for the Nonhomogeneous Differential Operator on the Heisenberg Group","authors":"D. V. Isangulova","doi":"10.1134/s0037446624030157","DOIUrl":"https://doi.org/10.1134/s0037446624030157","url":null,"abstract":"<p>We construct some linear nonhomogeneous differential operator <span>( mathcal{Q} )</span> on the Heisenberg group\u0000whose kernel is interconnected with the Lie algebra of the group of conformal mappings.\u0000In more detail, the kernel of <span>( mathcal{Q} )</span> coincides with first two coordinate functions of mappings of\u0000the Lie algebra of conformal mappings.\u0000We derive the integral representation formula and\u0000give a coercive estimate for <span>( mathcal{Q} )</span>.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141169557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Isomorphic Embeddings in the Class of Disjointly Homogeneous Rearrangement Invariant Spaces 论同构重排不变空间类中的同构嵌入
IF 0.5 4区 数学
Siberian Mathematical Journal Pub Date : 2024-05-29 DOI: 10.1134/s0037446624030017
S. V. Astashkin
{"title":"On Isomorphic Embeddings in the Class of Disjointly Homogeneous Rearrangement Invariant Spaces","authors":"S. V. Astashkin","doi":"10.1134/s0037446624030017","DOIUrl":"https://doi.org/10.1134/s0037446624030017","url":null,"abstract":"<p>The equivalence of the Haar system in a rearrangement\u0000invariant space <span>( X )</span> on <span>( [0,1] )</span> and a sequence of pairwise disjoint functions\u0000in some Lorentz space is known to imply that <span>( X=L_{2}[0,1] )</span> up to the equivalence of\u0000norms. We show that the same holds for the class of uniform\u0000disjointly homogeneous rearrangement invariant spaces and obtain a few\u0000consequences for the properties of isomorphic embeddings of such spaces.\u0000In particular, the <span>( L_{p}[0,1] )</span> space with <span>( 1&lt;p&lt;infty )</span> is the\u0000only uniform <span>( p )</span>-disjointly homogeneous rearrangement invariant space on <span>( [0,1] )</span>\u0000with nontrivial Boyd indices which has two rearrangement invariant representations\u0000on the half-axis <span>( (0,infty) )</span>.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141169855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Quantization Dimension of Maximal Linked Systems 论最大关联系统的量化维度
IF 0.5 4区 数学
Siberian Mathematical Journal Pub Date : 2024-05-29 DOI: 10.1134/s0037446624030066
A. A. Ivanov
{"title":"On the Quantization Dimension of Maximal Linked Systems","authors":"A. A. Ivanov","doi":"10.1134/s0037446624030066","DOIUrl":"https://doi.org/10.1134/s0037446624030066","url":null,"abstract":"<p>We prove that for a compact metric space <span>( X )</span> and for a nonnegative real <span>( b )</span>\u0000not exceeding the lower box dimension of <span>( X )</span>, there exists a maximal linked\u0000system in <span>( lambda X )</span> with lower quantization dimension <span>( b )</span> and support <span>( X )</span>.\u0000There also exists a maximal linked system in <span>( lambda X )</span> with support <span>( X )</span> whose lower\u0000and upper quantization dimensions coincide respectively\u0000with the lower and upper box dimensions of <span>( X )</span>.</p>","PeriodicalId":49533,"journal":{"name":"Siberian Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141169553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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