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arxiv: 0712.1555 · v2 · submitted 2007-12-10 · 🧮 math.AP · math.DS

Hyperbolic Balance Laws with a Dissipative Non Local Source

classification 🧮 math.AP math.DS
keywords sourcebalancedissipativelocalresultconsidersdependenceequations
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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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