Linear Hyperbolic Systems on Networks: well-posedness and qualitative properties
Keyword(s):
We study hyperbolic systems of one - dimensional partial differential equations under general , possibly non-local boundary conditions. A large class of evolution equations, either on individual 1- dimensional intervals or on general networks , can be reformulated in our rather flexible formalism , which generalizes the classical technique of first - order reduction . We study forward and backward well - posedness ; furthermore , we provide necessary and sufficient conditions on both the boundary conditions and the coefficients arising in the first - order reduction for a given subset of the relevant ambient space to be invariant under the flow that governs the system. Several examples are studied . p, li { white-space: pre-wrap; }
2019 ◽
Vol 16
(01)
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pp. 193-221
2004 ◽
Vol 01
(02)
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pp. 251-269
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2016 ◽
Vol 24
(6)
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2008 ◽
Vol 55
(6)
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pp. 1279-1292
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1977 ◽
Vol 99
(2)
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pp. 85-90
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2001 ◽
Vol 20
(3)
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pp. 637-659
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