Electron. J. Diff. Eqns. Vol. 1994(1994), No. 05, pp. 1-4.

A Note on the Uniqueness of Entropy Solutions to First Order Quasilinear Equations

David J. Diller

Abstract:
In this note, we consider entropy solutions to scalar conservation laws with unbounded initial data. In particular, we offer an extension of Kruzkhov's uniqueness proof (see [1]).

Submitted June 12, 1994. Published July 19, 1994.
Math Subject Classification: 35L60, 35L65
Key Words: Burger's Equation, Entropy Solution, Scalar Conservation Law.

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David J. Diller
Lunt Hall, Northwestern University, 2033 Sheridan Rd., Evanston, IL 60208
diller@@math.nwu.edu
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