On convergence to entropy solutions of a single conservation law

B. Cockburn, G. Gripenberg, S. O. Londen

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Abstract

Estimates of the difference between the entropy solutions of the single conservation law ut+div g(u) = 0, u(0, ·) = u0 and of the evolutionary integral equation (k * (u-u0))t+div g(u) = 0 are given in terms of k, g and u0. A corresponding result is obtained for more general evolution equations with an accretive non-linearity.

Original languageEnglish (US)
Pages (from-to)206-251
Number of pages46
JournalJournal of Differential Equations
Volume128
Issue number1
DOIs
StatePublished - Jun 10 1996

Bibliographical note

Funding Information:
* Partially supported by NSF Grant DMS-94-07952. E-mail: cockburn -E-mail: Gustaf.Gripenberg helsinki.fi. E-mail: Stig-Olof.Londen hut.fi.

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