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Correction to: “Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws”

✍ Scribed by Michael Sever

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
112 KB
Volume
43
Category
Article
ISSN
0010-3640

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✦ Synopsis

The proof of Theorem 4.1 requires correction. The theorem is correct as stated, and the basic method of proof is valid. Only the method for making det A' negative is erroneous.

Before giving the details, we make several general comments.

The linear transformation (in particular valid for weak solutions) KJ = (ii, 6).

using the nonvanishing of the first component of w and (A6), (AS) holds generally provided that and can be assured, for example, by making y1 -A, < s2yl.

direction, and the proof is complete.

Thus det A' can be made negative by perturbing J/"(ul) in the appropriate

Acknowledgment. I wish to thank Mr. David Klein for finding the previous error and for criticism of previous attempts to correct it.

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