Dirichlet Problems for the Generalized n -Poisson Equation | Atılım Üniversitesi Açık Erişim Sistemi
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Dirichlet Problems for the Generalized n -Poisson Equation
Oluşturulma Tarihi: 25-06-2015
Niteleme Bilgileri
Tür: Makale
Yayınlanma Durumu: Yayınlanmış
Dosya Biçimi: Dosya Yok
Dil: İngilizce
Konu(lar): BİLİM, Matematik,
Yazar(lar): Aksoy, Ümit (Yazar), Çelebi, Okay (Yazar),
Emeği Geçen(ler):
Dosya:
Dosya Yok
Polyharmonic hybrid Green functions, obtained by convoluting polyharmonic Green and Almansi Green functions, are taken as kernels to define a hierarchy of integral operators. They are used to investigate the solvability of some types of Dirichlet problems for linear complex partial differential equations with leading term as the polyharmonic operator.
Kaynakça[1]E. Almansi, Sull’integrazione dell’equazione differenziale Δ 2n u=0, Ann. Mat. (3) 2 (1899), 1–59.[2]Ü. Aksoy and A.O. Çelebi, Neumann problem for generalized n-Poisson equation, J. Math. Anal. Appl. 357 (2009), 438–446.MATHView ArticleMathSciNet[3]H. Begehr and T. Vaitekhovich, Iterated Dirichlet problem for the higher order Poisson equation, Le Matematiche XIII (2008), 139–154.MathSciNet[4]H. Begehr and T. Vaitekhovich, Green functions in complex plane domains, Uzbek Math. J. 4 (2008), 29–34.[5]H. Begehr, J. Du and Y. Wang, A Dirichlet problem for polyharmonic functions, Ann. Mat. Pure Appl. 187 (2008), 435–457.MATHView ArticleMathSciNet[6]H. Begehr, A particular polyharmonic Dirichlet problem, in: Complex Analysis, Potential Theory, Editors: T. Aliyev Azeroglu and T.M. Tamrazov, World Scientific, 2007, 84–115.[7]H. Begehr and E. Gaertner, A Dirichlet problem for the inhomogeneous polyharmonic equation in the upper half plane, Georg. Math. J. 14 (2007), 33–52.MATHMathSciNet[8]H. Begehr, T.N.H. Vu and Z. Zhang, Polyharmonic Dirichlet problems, Proc. Steklov Inst. Math. 255 (2006), 13–34.View ArticleMathSciNet[9]H. Begehr, Six biharmonic Dirichlet problems in complex analysis, in: Function Spaces in Complex and Clifford Analysis, Natl. Univ. Publ. Hanoi: Hanoi, 2008, 243–252.[10]H. Begehr, Biharmonic Green functions, Le Mathematiche, LXI (2006), 395–405.MathSciNet[11]H. Begehr, Hybrid Green functions and related boundary value problems, in Proc. 37th Annual Iranian Math. Conf., 2006, 275–278.[12]H. Begehr, Boundary value problems in complex analysis I, II, Boletin de la Asosiación Matemática Venezolana, XII (2005), 65–85, 217–250.[13]H. Begehr, Boundary value problems for the Bitsadze equation, Memoirs on differential equations and mathematical physics 33 (2004), 5–23.MATHMathSciNet[14]S.S. Kutateladze, Fundamentals of Functional Analysis, Kluwer Academic Publishers, 1996.[15]T. Vaitsiakhovich, Boundary Value Problems for Complex Partial Differential Equations in a Ring Domain, Ph.D. Thesis, Freie Universität Berlin, 2008.[16]I.N. Vekua, Generalized Analytic Functions, Pergamon Press, 1962.
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