Boundary Behavior of Harmonic Functions on Symmetric Spaces: Maximal Estimates for Poisson Integrals.
E.M. Stein (1983)
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E.M. Stein (1983)
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P.L. Lions, B. Perthame (1991)
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Peter Sjögren (1981)
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Weihua Geng (2015)
Molecular Based Mathematical Biology
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Numerically solving the Poisson-Boltzmann equation is a challenging task due to the existence of the dielectric interface, singular partial charges representing the biomolecule, discontinuity of the electrostatic field, infinite simulation domains, etc. Boundary integral formulation of the Poisson-Boltzmann equation can circumvent these numerical challenges and meanwhile conveniently use the fast numerical algorithms and the latest high performance computers to achieve combined improvement...
Michel Lassalle (1984)
Mathematische Annalen
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Ewa Damek (1989)
Colloquium Mathematicae
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Watson, Neil A. (1994)
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Vaisman, I. (1999)
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Francesco Bottacin (1995)
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Fréderique Charles, Nicolas Vauchelet, Christophe Besse, Thierry Goudon, Ingrid Lacroix–Violet, Jean-Paul Dudon, Laurent Navoret (2011)
ESAIM: Proceedings
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In this work, we consider the computation of the boundary conditions for the linearized Euler–Poisson derived from the BGK kinetic model in the small mean free path regime. Boundary layers are generated from the fact that the incoming kinetic flux might be far from the thermodynamical equilibrium. In [2], the authors propose a method to compute numerically the boundary conditions in the hydrodynamic limit relying on an analysis of the...
Dimitri Gurevich, Pavel Saponov (2011)
Banach Center Publications
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We consider Poisson pencils, each generated by a linear Poisson-Lie bracket and a quadratic Poisson bracket corresponding to a so-called Reflection Equation Algebra. We show that any bracket from such a Poisson pencil (and consequently, the whole pencil) can be restricted to any generic leaf of the Poisson-Lie bracket. We realize a quantization of these Poisson pencils (restricted or not) in the framework of braided affine geometry. Also, we introduce super-analogs of all these Poisson...
Ali Abkar (2007)
Bollettino dell'Unione Matematica Italiana
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We first consider the biharmonic Poisson kernel for the unit disk, and study the boundary behavior of potentials associated to this kernel function. We shall then use some properties of the biharmonic Poisson kernel for the unit disk to compute the analogous biharmonic Poisson kernel for the upper half plane.
Michel Lassalle (1984)
Inventiones mathematicae
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Alex V. Kontorovich, Steven J. Miller (2005)
Acta Arithmetica
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