On the logarithmic derivatives of Dirichlet L-functions at s=1
Yasutaka Ihara, V. Kumar Murty, Mahoro Shimura (2009)
Acta Arithmetica
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Yasutaka Ihara, V. Kumar Murty, Mahoro Shimura (2009)
Acta Arithmetica
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H. M. Bui, D. R. Heath-Brown (2010)
Acta Arithmetica
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Frédéric Bayart (2004)
Acta Arithmetica
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Robert Altmann (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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This paper develops a framework to include Dirichlet boundary conditions on a subset of the boundary which depends on time. In this model, the boundary conditions are weakly enforced with the help of a Lagrange multiplier method. In order to avoid that the ansatz space of the Lagrange multiplier depends on time, a bi-Lipschitz transformation, which maps a fixed interval onto the Dirichlet boundary, is introduced. An inf-sup condition as well as existence results are presented for a class...
Yuk-Kam Lau (2001)
Acta Arithmetica
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Kohji Matsumoto, Hirofumi Tsumura (2006)
Acta Arithmetica
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Zhefeng Xu, Wenpeng Zhang (2007)
Acta Arithmetica
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Dagmar Medková (2008)
Applicationes Mathematicae
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The Dirichlet problem for the Laplace equation for a planar domain with piecewise-smooth boundary is studied using the indirect integral equation method. The domain is bounded or unbounded. It is not supposed that the boundary is connected. The boundary conditions are continuous or p-integrable functions. It is proved that a solution of the corresponding integral equation can be obtained using the successive approximation method.
I. Babuska, Manil Suri (1987)
Numerische Mathematik
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Mošová, Vratislava
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Ali I. Abdul-Latif (1978)
Collectanea Mathematica
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A. Mallik (1981)
Acta Arithmetica
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John W. Barrett, Charles M. Elliott (1986)
Numerische Mathematik
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Hongfen Yuan, Valery V. Karachik (2022)
Czechoslovak Mathematical Journal
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Applying the method of normalized systems of functions we construct solutions of the generalized Dirichlet problem for the iterated slice Dirac operator in Clifford analysis. This problem is a natural generalization of the Dirichlet problem.