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Extraction of harmonics from trigonometric polynomials by phase-amplitude operators 用相位-幅度算子提取三角多项式的谐波
IF 0.8 4区 数学
St Petersburg Mathematical Journal Pub Date : 2021-03-02 DOI: 10.1090/SPMJ/1645
D. Vasilchenkova, V. Danchenko
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引用次数: 2
Sharp estimates for mean square approximations of classes of periodic convolutions by spaces of shifts 移位空间对周期卷积类的均方近似的尖锐估计
IF 0.8 4区 数学
St Petersburg Mathematical Journal Pub Date : 2021-03-02 DOI: 10.1090/SPMJ/1650
A. Ulitskaya
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引用次数: 2
Homogenization of Kirchhoff plates joined by rivets which are modeled by the Sobolev point conditions 用Sobolev点条件模拟铆钉连接基尔霍夫板的均匀化
IF 0.8 4区 数学
St Petersburg Mathematical Journal Pub Date : 2021-03-02 DOI: 10.1090/SPMJ/1649
S. Nazarov
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引用次数: 2
Nonuniqueness of Leray–Hopf solutions for a dyadic model 二元模型Leray–Hopf解的非唯一性
IF 0.8 4区 数学
St Petersburg Mathematical Journal Pub Date : 2021-03-02 DOI: 10.1090/SPMJ/1651
N. Filonov, P. Khodunov
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引用次数: 5
$L_2$-theory for two viscous fluids of different types: Compressible and incompressible $L_2$-两种不同类型粘性流体的理论:可压缩和不可压缩
IF 0.8 4区 数学
St Petersburg Mathematical Journal Pub Date : 2021-01-11 DOI: 10.1090/SPMJ/1640
V. Solonnikov
{"title":"$L_2$-theory for two viscous fluids of different types: Compressible and incompressible","authors":"V. Solonnikov","doi":"10.1090/SPMJ/1640","DOIUrl":"https://doi.org/10.1090/SPMJ/1640","url":null,"abstract":"","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":"9 1","pages":"91-137"},"PeriodicalIF":0.8,"publicationDate":"2021-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72977030","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: 3
Balayage of measures and subharmonic functions to a system of rays. II. Balayages of finite genus and growth regularity on a single ray 测量和次谐波函数对射线系统的平衡。2单条射线上有限属的分布和生长规律
IF 0.8 4区 数学
St Petersburg Mathematical Journal Pub Date : 2021-01-11 DOI: 10.1090/SPMJ/1642
B. Khabibullin, A. Shmeleva, Z. F. Abdullina
{"title":"Balayage of measures and subharmonic functions to a system of rays. II. Balayages of finite genus and growth regularity on a single ray","authors":"B. Khabibullin, A. Shmeleva, Z. F. Abdullina","doi":"10.1090/SPMJ/1642","DOIUrl":"https://doi.org/10.1090/SPMJ/1642","url":null,"abstract":"","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":"16 1","pages":"155-181"},"PeriodicalIF":0.8,"publicationDate":"2021-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76462827","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: 7
On holomorphic realizations of 5-dimensional Lie algebras 关于5维李代数的全纯实现
IF 0.8 4区 数学
St Petersburg Mathematical Journal Pub Date : 2020-10-27 DOI: 10.1090/spmj/1629
R. Akopyan, A. Loboda
{"title":"On holomorphic realizations of 5-dimensional Lie algebras","authors":"R. Akopyan, A. Loboda","doi":"10.1090/spmj/1629","DOIUrl":"https://doi.org/10.1090/spmj/1629","url":null,"abstract":"","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":"8 1","pages":"911-937"},"PeriodicalIF":0.8,"publicationDate":"2020-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72927088","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
Homogenization of periodic Schrödinger-type equations, with lower order terms 具有低阶项的周期Schrödinger-type方程的均匀化
IF 0.8 4区 数学
St Petersburg Mathematical Journal Pub Date : 2020-10-27 DOI: 10.1090/spmj/1632
M. Dorodnyi
{"title":"Homogenization of periodic Schrödinger-type equations, with lower order terms","authors":"M. Dorodnyi","doi":"10.1090/spmj/1632","DOIUrl":"https://doi.org/10.1090/spmj/1632","url":null,"abstract":"","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":"18 1","pages":"1001-1054"},"PeriodicalIF":0.8,"publicationDate":"2020-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73688903","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: 5
Trapping of a wave in a curved cylindrical acoustic waveguide with constant cross-section 等截面弯曲圆柱形声波导中波的捕获
IF 0.8 4区 数学
St Petersburg Mathematical Journal Pub Date : 2020-09-03 DOI: 10.1090/spmj/1626
S. Nazarov
{"title":"Trapping of a wave in a curved cylindrical acoustic waveguide with constant cross-section","authors":"S. Nazarov","doi":"10.1090/spmj/1626","DOIUrl":"https://doi.org/10.1090/spmj/1626","url":null,"abstract":"Cylindrical acoustic waveguides with constant cross-section ω are considered, specifically, a straight waveguide Ω = R × ω ⊂ R and a locally curved waveguide Ω that depends on a parameter ε ∈ (0, 1]. For d > 2, in two different settings (ε = 1 and ε ≪ 1), the task is to find an eigenvalue λ that is embedded in the continuous spectrum [0, +∞) of the waveguide Ω and, hence, is inherently unstable. In other words, a solution of the Neumann problem for the Helmholtz operator ∆ + λ arises that vanishes at infinity and implies an eigenfunction in the Sobolev space H1(Ωε). In the first case, it is assumed that the cross-section ω has a double symmetry and an eigenvalue arises for any nontrivial curvature of the axis of the waveguide Ωε. In the second case, under an assumption on the shape of an asymmetric cross-section ω, the eigenvalue λ is formed by scrupulous fitting of the curvature O(ε) for small ε > 0.","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2020-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46427881","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
Cyclicity of nonvanishing functions in the polydisk and in the ball 多盘和球中非消失函数的循环性
IF 0.8 4区 数学
St Petersburg Mathematical Journal Pub Date : 2020-09-03 DOI: 10.1090/spmj/1622
E. Amar, P. Thomas
{"title":"Cyclicity of nonvanishing functions in the polydisk and in the ball","authors":"E. Amar, P. Thomas","doi":"10.1090/spmj/1622","DOIUrl":"https://doi.org/10.1090/spmj/1622","url":null,"abstract":"","PeriodicalId":51162,"journal":{"name":"St Petersburg Mathematical Journal","volume":"4 1","pages":"751-768"},"PeriodicalIF":0.8,"publicationDate":"2020-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87254523","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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