Displaying similar documents to “Symmetric hyperbolic systems with boundary conditions that do not satisfy the Kreiss-Sakamoto condition”

Boundaries of right-angled hyperbolic buildings

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.

Well Posedness of Balance Laws with Non-Characteristic Boundary

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.

Combinatorial Modulus on Boundary of Right-Angled Hyperbolic Buildings

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...