Symmetric hyperbolic form of systems of second-order evolution equations subject to constraints
arXiv:gr-qc/0402079 · doi:10.1103/PhysRevD.70.044031
Abstract
Motivated by the initial-boundary value problem for the Einstein equations, we propose a definition of symmetric hyperbolicity for systems of evolution equations that are first order in time but second order in space. This can be used to impose constraint-preserving boundary conditions. The general methods are illustrated in detail in the toy model of electromagnetism.
13 pages, revtex4
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