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- Max Planck Institute for Gravitational PhysicsDE40 papers
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19 papers · 1 filter
On characteristic initial data for a star orbiting a black hole
Nigel T. Bishop, Roberto Gomez, Luis Lehner +2
We take further steps in the development of the characteristic approach to enable handling the physical problem of a compact self-gravitating object, such as a neutron star, in clo…
Laguerre Functions on Symmetric Cones and recursion relations in the Real Case
Michael Aristidou, Mark Davidson, Gestur 'Olafsson
In this article we derive differential recursion relations for the Laguerre functions on the cone C of positive definite real matrices. The highest weight representations of the gr…
Boundary conditions for Einstein's field equations: Analytical and numerical analysis
Olivier Sarbach, Manuel Tiglio
Outer boundary conditions for strongly and symmetric hyperbolic formulations of 3D Einstein's field equations with a live gauge condition are discussed. The boundary conditions hav…
Impurity-induced states in conventional and unconventional superconductors
A. V. Balatsky, I. Vekhter, Jian-Xin Zhu
We review recent developments in our understanding of how impurities influence the electronic states in the bulk of superconductors. Our focus is on the quasi-localized states in t…
Further Remarks on Strict Input-to-State Stable Lyapunov Functions for Time-Varying Systems
Michael Malisoff, Frederic Mazenc
We study the stability properties of a class of time-varying nonlinear systems. We assume that non-strict input-to-state stable (ISS) Lyapunov functions for our systems are given a…
Support properties and Holmgren's uniqueness theorem for differential operators with hyperplane singularities
G. Olafsson, A. Pasquale
Let W be a finite Coxeter group acting linearly on . In this article we study support properties of W-invariant partial differential operator D on with real analytic co…