Hyperbolic Conservation Laws and L2

Barbara Lee Keyfitz () and Hao Ying ()
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Barbara Lee Keyfitz: The Ohio State University, Mathematics Department
Hao Ying: Bank of America

A chapter in Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, 2018, pp 703-720 from Springer

Abstract: Abstract Taking as background the fact that conservation laws in a single space variable are well-posed in the space of functions of bounded variation, while multidimensional systems enjoy short-time well-posedness in Sobolev spaces H s, we attempt to resolve the discrepancies between these two theories by exploring what can be said about stability of one-dimensional systems in L 2. We summarize some positive results for special cases, and also show by a conterexample that there is no straightforward way to resolve the difficulty.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-72456-0_31

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DOI: 10.1007/978-3-319-72456-0_31

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