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Complex Variables, Theory and Application: An International Journal最新文献

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Solution of one boundary value problem for curl, +λ I operator in the ball 球上旋度+λ I算子的一个边值问题的解
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500130665
R. Saks, C. J. Vanegas
{"title":"Solution of one boundary value problem for curl, +λ I operator in the ball","authors":"R. Saks, C. J. Vanegas","doi":"10.1080/02781070500130665","DOIUrl":"https://doi.org/10.1080/02781070500130665","url":null,"abstract":"The boundary value problem for the linear weakly elliptic system in the ball G of is studied and three methods for finding the solution of it in the space are derived. In order to reach this goal, it is used with the theory of potentials, spectral theory and a complex form of this system is considered.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128261652","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
A numerical method based on the generalized Shannon–Whittaker representation theorem for solving Helmholtz equation 基于广义Shannon-Whittaker表示定理的求解Helmholtz方程的数值方法
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500156835
Song-Hua Li, Wei Lin
{"title":"A numerical method based on the generalized Shannon–Whittaker representation theorem for solving Helmholtz equation","authors":"Song-Hua Li, Wei Lin","doi":"10.1080/02781070500156835","DOIUrl":"https://doi.org/10.1080/02781070500156835","url":null,"abstract":"In this article, we first apply the contour integral method to generalize the Shannon–Whittaker theorem to the case for the multi-valued analytic functions. Based on this result we obtain the numerical solution for the Helmholtz equation. In order to overcome the difficulty that the coerciveness does not hold, we prove the existence and uniqueness of the solution to Helmholtz equation with the third boundary condition in the upper half plane.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122510921","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: 3
Boundary value problems for the Poisson equation and bi-analytic functions 泊松方程和双解析函数的边值问题
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500086958
Ajay Kumar, R. Prakash
{"title":"Boundary value problems for the Poisson equation and bi-analytic functions","authors":"Ajay Kumar, R. Prakash","doi":"10.1080/02781070500086958","DOIUrl":"https://doi.org/10.1080/02781070500086958","url":null,"abstract":"Explicit representations of the solution to higher-order Poisson equation with Dirichlet boundary conditions are obtained. The equations for 1 ≤  m, n have also been investigated.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122304654","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: 3
HB in a favourite T (artist unknown) HB穿着最喜欢的T(艺术家未知)
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070512331389550
{"title":"HB in a favourite T (artist unknown)","authors":"","doi":"10.1080/02781070512331389550","DOIUrl":"https://doi.org/10.1080/02781070512331389550","url":null,"abstract":"","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127115258","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
Complex methods in higher dimensions – recent trends for solving boundary value and initial value problems 高维复杂方法——求解边值和初值问题的最新趋势
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500087600
L. Son, W. Tutschke
{"title":"Complex methods in higher dimensions – recent trends for solving boundary value and initial value problems","authors":"L. Son, W. Tutschke","doi":"10.1080/02781070500087600","DOIUrl":"https://doi.org/10.1080/02781070500087600","url":null,"abstract":"From the very beginning, Complex Analysis is closely connected with partial differential equations. The article surveys present generalizations of these connexions to higher dimensions.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122415906","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: 9
Polynomial solutions to Cauchy problems for complex Bessel operators 复贝塞尔算子Cauchy问题的多项式解
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500086842
G. Hile, A. Stanoyevitch
{"title":"Polynomial solutions to Cauchy problems for complex Bessel operators","authors":"G. Hile, A. Stanoyevitch","doi":"10.1080/02781070500086842","DOIUrl":"https://doi.org/10.1080/02781070500086842","url":null,"abstract":"We investigate Cauchy problems for complex differential equations of the form , where is a Bessel differential operator in the “time variable”, and a linear differential operator in the “space variables”, possibly also involving Bessel operators. We establish conditions for existence and uniqueness of polynomial solutions whenever the Cauchy data is polynomial, and we give explicit formulas for these solutions. When the Cauchy data consists of monomials, these polynomial solutions are analogous to the heat polynomials for the heat equation.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"201 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123029660","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: 3
On elliptic boundary value problems on upper half-plane 上半平面上的椭圆边值问题
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500083013
A. Soldatov
{"title":"On elliptic boundary value problems on upper half-plane","authors":"A. Soldatov","doi":"10.1080/02781070500083013","DOIUrl":"https://doi.org/10.1080/02781070500083013","url":null,"abstract":"The boundary value problems for elliptic systems of the second order with leading and constant coefficients are considered in a half-plane. The investigation is based on the Bitsadze formula which represents a general solution of this system through a vector-valued analytic function. The transformation of this formula is studied in Holder spaces with weight. As a consequence, the explicit formulas of the solution to the problems are received. The applications to anisotropic elasticity are also given.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126205119","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
Geometric analysis on a family of pseudoconvex hypersurfaces 一类伪凸超曲面的几何分析
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500130715
O. Calin, D. Chang
{"title":"Geometric analysis on a family of pseudoconvex hypersurfaces","authors":"O. Calin, D. Chang","doi":"10.1080/02781070500130715","DOIUrl":"https://doi.org/10.1080/02781070500130715","url":null,"abstract":"We discuss the sub-Riemannian geometry induced by the sub-Laplacian Δk on a family of finite type, pseudoconvex hypersurfaces . We also give the physical interpretation of this geometry.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122725257","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
Riemann boundary value problems of polyanalytic functions and metaanalytic functions on the closed curves 闭曲线上多解析函数和元解析函数的Riemann边值问题
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500086677
Jinyuan Du, Yufeng Wang
{"title":"Riemann boundary value problems of polyanalytic functions and metaanalytic functions on the closed curves","authors":"Jinyuan Du, Yufeng Wang","doi":"10.1080/02781070500086677","DOIUrl":"https://doi.org/10.1080/02781070500086677","url":null,"abstract":"In this article, Riemann boundary value problems (BVPs) of polyanalytic functions and metaanalytic functions on the closed curve are investigated. Using the theorem of decomposition of polyanalytic functions, the expression of solution and the condition of solvability for Riemann BVP of polyanalytic functions are obtained by reducing the problem to the equivalent Riemann BVP of analytic functions. Then the expression of solution and the condition of solvability for Riemann BVP of metaanalytic functions are obtained by reducing the problem into the equivalent Riemann BVP of polyanalytic functions.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132656504","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: 31
Green's function for the Helmholtz equation in a layered half-space 分层半空间中亥姆霍兹方程的格林函数
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-06-10 DOI: 10.1080/02781070500138817
R. Gilbert, Yongzhi S. Xu
{"title":"Green's function for the Helmholtz equation in a layered half-space","authors":"R. Gilbert, Yongzhi S. Xu","doi":"10.1080/02781070500138817","DOIUrl":"https://doi.org/10.1080/02781070500138817","url":null,"abstract":"In this article we construct the three-dimensional Green's function for Helmholtz's equation in a layered half-space.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127838493","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: 3
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