Source-Solutions and Asymptotic Behavior in Conservation Laws.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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We study the uniqueness of the solutions to the scalar conversation law when the initial datum is a finite measure. The case of a Dirac mass is particularly emphasized it is shown how it provides a description of the asymptotic behavior of the solutions initiated by an arbitrary integrable function. This behavior is proved to depend on one parameter in the case when phi is odd while it depends on two when phi is convex. Author
- Theoretical Mathematics