Solution of the Dirichlet problem with l^p boundary condition
Dagmar Medková (2008)
Kragujevac Journal of Mathematics
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Dagmar Medková (2008)
Kragujevac Journal of Mathematics
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Kirti Joshi, C. S. Yogananda (1999)
Acta Arithmetica
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While trying to understand the methods and the results of [3], especially in Section 2, we stumbled on an identity (*) below, which looked worth recording since we could not locate it in the literature. We would like to thank Dinesh Thakur and Dipendra Prasad for their comments.
Lomtatidze, A., Malaguti, L. (2000)
Georgian Mathematical Journal
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Mosurski, Ryszard (2005)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Lomtatidze, A. (1994)
Georgian Mathematical Journal
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Yoshihiro Shibata (1992)
Banach Center Publications
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The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.
Kozhanov, A.I., Lar'kin, N.A. (2001)
Sibirskij Matematicheskij Zhurnal
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Ashordia, M. (1996)
Georgian Mathematical Journal
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Hua, Jun, Moseley, James L. (2001)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Frigerio, Roberto (2006)
Algebraic & Geometric Topology
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Dong, Xin, Bai, Zhanbing (2008)
The Journal of Nonlinear Sciences and its Applications
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D. A. Goldston, S. M. Gonek (1998)
Acta Arithmetica
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We obtain formulas for computing mean values of Dirichlet polynomials that have more terms than the length of the integration range. These formulas allow one to compute the contribution of off-diagonal terms provided one knows the correlation functions for the coefficients of the Dirichlet polynomials. A smooth weight is used to control error terms, and this weight can in typical applications be removed from the final result. Similar results are obtained for the tails of Dirichlet series....
Peter J. Bauer (2000)
Acta Arithmetica
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Introduction. In 1974, N. Levinson showed that at least 1/3 of the zeros of the Riemann ζ-function are on the critical line ([19]). Today it is known (Conrey, [6]) that at least 40.77% of the zeros of ζ(s) are on the critical line and at least 40.1% are on the critical line and are simple. In [16] and [17], Hilano showed that Levinson's original result is also valid for Dirichlet L-series. This paper is a shortened version of parts of the dissertation [3], the full...