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ASYMPTOTICS FOR LARGE TIME OF SOLUTIONS OF A SYSTEM OF EQUATIONS FOR SURFACE WAVES 表面波方程组大时间解的渐近性
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V038N03ABEH002213
P. Naumkin, I. A. Shishmarev
{"title":"ASYMPTOTICS FOR LARGE TIME OF SOLUTIONS OF A SYSTEM OF EQUATIONS FOR SURFACE WAVES","authors":"P. Naumkin, I. A. Shishmarev","doi":"10.1070/IM1992V038N03ABEH002213","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002213","url":null,"abstract":"The asymptotics as is found for solutions of the Cauchy problem for a system of equations of surface waves with dissipation.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122323195","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
The Weil-Petersson Metric on the Moduli Space of Stable Vector Bundles and Sheaves on AN Algebraic Surface 代数曲面上稳定向量束和向量束模空间上的Weil-Petersson度量
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V038N03ABEH002216
A. Tyurin
{"title":"The Weil-Petersson Metric on the Moduli Space of Stable Vector Bundles and Sheaves on AN Algebraic Surface","authors":"A. Tyurin","doi":"10.1070/IM1992V038N03ABEH002216","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002216","url":null,"abstract":"A twistor description of the Weil-Petersson metric on the moduli space of stable vector bundles on a K3-surface with hyper-Kahler structure is given, and this metric is extended to the compactification of the moduli space by torsion-free sheaves.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121644059","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
ON THE DIRICHLET DIVISOR PROBLEM IN SOME SEQUENCES OF NATURAL NUMBERS 若干自然数数列中的狄利克雷除数问题
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V038N03ABEH002221
K. M. Éminyan
{"title":"ON THE DIRICHLET DIVISOR PROBLEM IN SOME SEQUENCES OF NATURAL NUMBERS","authors":"K. M. Éminyan","doi":"10.1070/IM1992V038N03ABEH002221","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002221","url":null,"abstract":"This paper is concerned with the question of the average value of the function τ(n), the number of divisors of n, for some special sequences of natural numbers.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130696133","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 13
TORSION AND ENDOMORPHISMS OF ABELIAN VARIETIES OVER INFINITE EXTENSIONS OF NUMBER FIELDS 无限扩展数域上阿贝尔变型的扭转与自同态
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V038N03ABEH002219
Yu. G. Zarkhin
{"title":"TORSION AND ENDOMORPHISMS OF ABELIAN VARIETIES OVER INFINITE EXTENSIONS OF NUMBER FIELDS","authors":"Yu. G. Zarkhin","doi":"10.1070/IM1992V038N03ABEH002219","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002219","url":null,"abstract":"The author studies abelian varieties with infinite torsion in infinite extensions L of a number field K for which the Galois group Gal(L/K) is a compact l-adic Lie group.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123721323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
AN INTEGRABLE SYSTEM EXTENDING THE KORTEWEG-DE VRIES EQUATION 扩展korteweg-de vries方程的可积系统
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V039N03ABEH002245
D. Fofana
{"title":"AN INTEGRABLE SYSTEM EXTENDING THE KORTEWEG-DE VRIES EQUATION","authors":"D. Fofana","doi":"10.1070/IM1992V039N03ABEH002245","DOIUrl":"https://doi.org/10.1070/IM1992V039N03ABEH002245","url":null,"abstract":"Some exact solutions are found for a system of two nonlinear equations admitting a Lax representation. The dynamics of the scattering data of a fourth-order operator of a special form is indicated, and the system is shown to possess a countable set of first integrals.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"117 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115819492","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SOME PROPERTIES OF THE COMPLEXIFICATION OF THE KdV EQUATION KdV方程复化的一些性质
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V039N03ABEH002246
T. V. Red'kina
{"title":"SOME PROPERTIES OF THE COMPLEXIFICATION OF THE KdV EQUATION","authors":"T. V. Red'kina","doi":"10.1070/IM1992V039N03ABEH002246","DOIUrl":"https://doi.org/10.1070/IM1992V039N03ABEH002246","url":null,"abstract":"An integrable complexification of the hierarchy of the KdV equation is constructed. A countable set of first integrals is found, along with the evolution of the scattering data for the complexification of the KdV equation obtained in [1]. Hirota's method is used to obtain some exact solutions of this equation. A representation of the complexification of the KdV equation as an equation of zero curvature is indicated. Bibliography: 10 titles.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115556096","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 UNIQUENESS OF SUPPORTS OF ANALYTIC FUNCTIONALS 解析泛函支持的唯一性
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V039N03ABEH002241
A. Krivosheev
{"title":"ON THE UNIQUENESS OF SUPPORTS OF ANALYTIC FUNCTIONALS","authors":"A. Krivosheev","doi":"10.1070/IM1992V039N03ABEH002241","DOIUrl":"https://doi.org/10.1070/IM1992V039N03ABEH002241","url":null,"abstract":"This paper describes a class of convex compact sets K in Cn having the following uniqueness property: K is the unique support of every analytic functional for which it is a support.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123149003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
ON THE ZEROS OF A SPECIAL TYPE OF FUNCTION CONNECTED WITH DIRICHLET SERIES 关于与狄利克雷级数相关的一类特殊函数的零点
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V038N03ABEH002211
A. A. Karatsuba
{"title":"ON THE ZEROS OF A SPECIAL TYPE OF FUNCTION CONNECTED WITH DIRICHLET SERIES","authors":"A. A. Karatsuba","doi":"10.1070/IM1992V038N03ABEH002211","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002211","url":null,"abstract":"Theorems are proved on the number of zeros of linear combinations of Dirichlet L-functions that lie on intervals of the critical line.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132315197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 19
BREAKING SOLITONS. V. SYSTEMS OF HYDRODYNAMIC TYPE 打破孤立子。五、水动力型系统
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V038N03ABEH002209
O. Bogoyavlenskii
{"title":"BREAKING SOLITONS. V. SYSTEMS OF HYDRODYNAMIC TYPE","authors":"O. Bogoyavlenskii","doi":"10.1070/IM1992V038N03ABEH002209","DOIUrl":"https://doi.org/10.1070/IM1992V038N03ABEH002209","url":null,"abstract":"A method for constructing the systems of hydrodynamic type having a number of Riemann invariants is indicated. The method is based on a new differential equation in a space of linear operators. The systems of hydrodynamic type naturally connected with the Volterra model and the Toda lattice are constructed. Their continuous limits are found, the equation (see [1] and [2]) of interaction between Riemann breaking waves and transversal long waves is among them. The equations for self-similar solutions of homogeneous systems of hydrodynamic type are derived.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127941253","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
MULTIDIMENSIONAL TAUBERIAN COMPARISON THEOREMS FOR HOLOMORPHIC FUNCTIONS OF BOUNDED ARGUMENT 有界参数全纯函数的多维陶氏比较定理
Mathematics of The Ussr-izvestiya Pub Date : 1992-06-30 DOI: 10.1070/IM1992V039N03ABEH002239
Yu. N. Drozhzhinov, B. I. Zav’yalov
{"title":"MULTIDIMENSIONAL TAUBERIAN COMPARISON THEOREMS FOR HOLOMORPHIC FUNCTIONS OF BOUNDED ARGUMENT","authors":"Yu. N. Drozhzhinov, B. I. Zav’yalov","doi":"10.1070/IM1992V039N03ABEH002239","DOIUrl":"https://doi.org/10.1070/IM1992V039N03ABEH002239","url":null,"abstract":"Complex-valued admissible and completely admissible functions on a cone are considered. It is proved that holomorphic functions having nonnegative real part (bounded argument) are admissible. These functions are used as comparison functions in multidimensional Tauberian theorems for generalized functions.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122796392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
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