Stability in the L1 norm via a linearization method for nonlinear hyperbolic systems
Analysis of PDEs
2008-12-23 v1 Numerical Analysis
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.
Cite
@article{arxiv.0812.3999,
title = {Stability in the L1 norm via a linearization method for nonlinear hyperbolic systems},
author = {Philippe G. LeFloch},
journal= {arXiv preprint arXiv:0812.3999},
year = {2008}
}
Comments
15 pages