Proceedings of the American Mathematical Society

Author(s): Paola Goatin; Laurent Gosse
Journal: Proc. Amer. Math. Soc. 132 (2004), 1627-1637.
MSC (2000): Primary 35L65; Secondary 35L45
Posted: January 22, 2004
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Abstract: We prove Ole ${\u{\i}}\kern.15em$ nik-type decay estimates for entropy solutions of $n\times n$ strictly hyperbolic systems of balance laws built out of a wave-front tracking procedure inside which the source term is treated as a nonconservative product localized on a discrete lattice.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35L65, 35L45

Paola Goatin
Affiliation: Centre de Mathématiques Appliquées, Ecole Polytechnique, 91128 Palaiseau Cedex, France
Email: goatin@cmap.polytechnique.fr

Laurent Gosse
Affiliation: Istituto per le Applicazioni del Calcolo (sezione di Bari), via G. Amendola, 122/I, 70126 Bari, Italy
Email: l.gosse@area.ba.cnr.it

DOI: 10.1090/S0002-9939-04-07315-0
PII: S 0002-9939(04)07315-0
Keywords: Conservation laws, source terms, nonconservative products.
Received by editor(s): December 21, 2001
Posted: January 22, 2004
Additional Notes: The authors were partially supported respectively by the EC-Marie Curie Individual Fellowship \#HPMF-CT-2000-00930 and EEC grants \#ERBFMRXCT970157 & \#HPRN-CT-2002-00282
Communicated by: Suncica Canic
Copyright of article: Copyright 2004, American Mathematical Society

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