Differential Equations in Metric Spaces with Applications

Details Differential Equations in Metric Spaces with Applications Differential Equations in Metric Spaces with Applications

2007-12-04

arxiv.org/abs/0712.0560v1

Mathematics

Dynamical Systems

25 pages

Scientific paper

This paper proves the local well posedness of differential equations in metric spaces under assumptions that allow to comprise several different applications. We consider below a system of balance laws with a dissipative non local source, the Hille-Yosida Theorem, a generalization of a recent result on nonlinear operator splitting, an extension of Trotter formula for linear semigroups and the heat equation.

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