2007/12/10 by Rinaldo M. Colombo, Colombo, Rinaldo M., Graziano Guerra +1
Mathematics · #35L65 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #math.AP #math.DS #msc:35L65
paper · pdf · doi:10.48550/arxiv.0712.1555
17 pages
arxiv created 2007/12/12 · arxiv updated 2009/12/01
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.