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Differential equations in metric spaces with applications
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.