English

On an inverse problem for scalar conservation laws

Analysis of PDEs 2014-08-07 v2

Abstract

We study in what sense one can determine the function k=k(x)k=k(x) in the scalar hyperbolic conservation law ut+(k(x)f(u))x=0u_t+(k(x)f(u))_x=0 by observing the solution u(t,\dott)u(t,\dott) of the Cauchy problem with initial data ut=0=uou|_{t=0}=u_o.

Keywords

Cite

@article{arxiv.1309.6945,
  title  = {On an inverse problem for scalar conservation laws},
  author = {Helge Holden and Fabio Simone Priuli and Nils Henrik Risebro},
  journal= {arXiv preprint arXiv:1309.6945},
  year   = {2014}
}

Comments

35 pages, 4 figures

R2 v1 2026-06-22T01:34:49.186Z