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

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

2008-12-20

arxiv.org/abs/0812.3999v1

Mathematics

Analysis of PDEs

15 pages

Scientific paper

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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