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arXiv · 0812.3999

Stability in the L1 norm via a linearization method for nonlinear hyperbolic systems

Philippe G. LeFloch
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Abstract

We discuss the existence and uniqueness of discontinuous solutions to adjoint problems associated with nonlinear hyperbolic systems of conservation laws. By generalizing the Haar method for Glimm-type approximations to hyperbolic systems, we establish that entropy solutions depend continuously upon their initial data in the natural L1 norm.

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Philippe G. LeFloch. 2008-12-20. Stability in the L1 norm via a linearization method for nonlinear hyperbolic systems. https://arxiv.org/abs/0812.3999

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