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.
Colombo, R., Guerra, G. (2008). Hyperbolic balance laws with a dissipative non local source. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 7(8), 1077-1090 [10.3934/cpaa.2008.7.1077].
Hyperbolic balance laws with a dissipative non local source
GUERRA, GRAZIANO
2008
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.
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