Differential Equations in Metric Spaces with Applications

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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.
25 pages

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Dynamical Systems, Analysis of PDEs, 34G20; 47J35; 35L65

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http://salesiana.dossiersoluciones.com/handle/123456789/143538

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.0560
 http://arxiv.org/abs/0712.0560

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arXiv