English

Hyperbolic Balance Laws with a Dissipative Non Local Source

Analysis of PDEs 2007-12-12 v2 Dynamical Systems

Abstract

This paper considers systems of balance law with a dissipative non local source. A global in time well posedness result is obtained. Estimates on the dependence of solutions from the flow and from the source term are also provided. The technique relies on a recent result on quasidifferential equations in metric spaces.

Keywords

Cite

@article{arxiv.0712.1555,
  title  = {Hyperbolic Balance Laws with a Dissipative Non Local Source},
  author = {Rinaldo M. Colombo and Graziano Guerra},
  journal= {arXiv preprint arXiv:0712.1555},
  year   = {2007}
}

Comments

17 pages

R2 v1 2026-06-21T09:52:33.295Z