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Uniqueness of Piecewise Lipschitz Continuous Solutions of the Cauchy-Problem for 2 x 2 Conservation Laws

by R. Jeltsch and X. Wang

(Report number 1993-03)

Abstract
We prove uniqueness theorems in the class of piecewise Lipschitz continuous solutions of the Cauchy-Problem for 2 x 2 conservation laws and improve the results of DiPerna in this class.

Keywords: uniqueness, conservation laws, 2 x 2 system

@Techreport{JW93_28,
  author = {R. Jeltsch and X. Wang},
  title = {Uniqueness of Piecewise Lipschitz Continuous Solutions of the Cauchy-Problem for 2 x 2 Conservation Laws},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1993-03},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1993/1993-03.pdf },
  year = {1993}
}

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