Rinaldo M. Colombo, Massimiliano D. Rosini (2007)
Bollettino dell'Unione Matematica Italiana
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This note presents a well posedness result for the initial-boundary value problem consisting of a nonlinear system of hyperbolic balance laws with boundary, in the non-characteristic case.
Matthias Eller (2008)
Applicationes Mathematicae
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Symmetric hyperbolic systems with a class of non-homogeneous boundary conditions that do not satisfy the Kreiss-Sakamoto condition (or uniform Lopatinskii condition) are discussed. The boundary conditions are of conservative type. An energy estimate which provides interior and boundary regularity for weak solutions to the system is proved. The results are valid for operators with rough coefficients. As an example the anisotropic Maxwell system is considered.
Sergei Buyalo, Viktor Schroeder (2015)
Analysis and Geometry in Metric Spaces
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We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.
P. Colli, José-Francisco Rodriques (1991)
Forum mathematicum
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Andrzej Borzymowski (1998)
Mathematica Slovaca
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W. Hackbusch, S. Dittrich (1980)
Numerische Mathematik
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Jan Dymara, Damian Osajda (2007)
Fundamenta Mathematicae
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
Z. Kamont, J. Turo (1987)
Annales Polonici Mathematici
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Maroun, Mariette (2007)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Günther Greiner (1989)
Semigroup forum
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Antoine Clais (2016)
Analysis and Geometry in Metric Spaces
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In this article, we discuss the quasiconformal structure of boundaries of right-angled hyperbolic buildings using combinatorial tools. In particular, we exhibit some examples of buildings of dimension 3 and 4 whose boundaries satisfy the combinatorial Loewner property. This property is a weak version of the Loewner property. This is motivated by the fact that the quasiconformal structure of the boundary led to many results of rigidity in hyperbolic spaces since G.D.Mostow. In the case...