Stability for Temple Class Systems with L∞ Boundary Data

Autor:	Paola Goatin
Rok vydání:	2001
Předmět:	Pure mathematics Class (set theory) symbols.namesake Partial differential equation Riemann problem Semigroup Weak solution symbols Initial value problem Boundary value problem Topology Lipschitz continuity Mathematics
Zdroj:	Hyperbolic Problems: Theory, Numerics, Applications ISBN: 9783034895378
DOI:	10.1007/978-3-0348-8370-2_46
Popis:	We construct a continuous semigroup of solutions to the initial-boundary value problem for Temple class systems, on a domain of L∞ functions. Trajectories of the semigroup depend L1Lipschitz continuously on the initial and boundary data. We apply the result to the study of topological properties of sets of attainable profiles.
Databáze:	OpenAIRE
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