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Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds

✍ Scribed by Matania Ben-Artzi; Philippe G. LeFloch

Book ID
108052936
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
261 KB
Volume
24
Category
Article
ISSN
0294-1449

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The paper presents a well-posedness theory for the initial value problem for a general system of hyperbolic conservation laws. We will start with the refinement of Glimm's existence theory and discuss the principle of nonlinear superposition through wave tracing. Our main goal is to introduce a nonl

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## Communicated by D. Serre Abstract--In this note, we generalize the recent result on L 1 well-posedness theory for strictly hyperbolic conservation laws to the nonstrictly hyperbolic system of conservation laws whose characteristics are with constant multiplicity. (~) 2003 Elsevier Science Ltd.