Evolution equations in ostensible metric spaces: First-order evolutions of nonsmooth sets with nonlocal terms

@inproceedings{Lorenz2008EvolutionEI,
  title={Evolution equations in ostensible metric spaces: First-order evolutions of nonsmooth sets with nonlocal terms},
  author={Thomas Lorenz},
  year={2008}
}
Similarly to quasidifferential equations of Panasyuk, the so-called mutational equations of Aubin provide a generalization of ordinary differential equations to locally compact metric spaces. Here we present their extension to a nonempty set with a possibly nonsymmetric distance. In spite of lacking any linear structures, a distribution–like approach leads to so–called right–hand forward solutions. These extensions are mainly motivated by compact subsets of the Euclidean space whose evolution… CONTINUE READING

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