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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.
Mathematics Subject Classification: Primary: 34G20, 47J35; Secondary: 35L65.

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