Birgit Jacob, Kirsten Morris, Hans Zwart
Published 2014-09-23Version 1
Hyperbolic partial differential equations on a one-dimensional spatial domain are studied. This class of systems includes models of beams and waves as well as the transport equation and networks of non-homogeneous transmission lines. The main result of this paper is a simple test for $C_0$-semigroup generation in terms of the boundary conditions. The result is illustrated with several examples.
Transport equation: extension of classical results for div $b\in$ BMO
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