Differential Equations in Metric Spaces with Applications
Dynamical Systems
2007-12-05 v1 Analysis of PDEs
Abstract
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.
Cite
@article{arxiv.0712.0560,
title = {Differential Equations in Metric Spaces with Applications},
author = {Rinaldo M. Colombo and Graziano Guerra},
journal= {arXiv preprint arXiv:0712.0560},
year = {2007}
}
Comments
25 pages