Evolution equations in ostensible metric spaces: First-order evolutions of nonsmooth sets with nonlocal terms
نویسندگان
چکیده
منابع مشابه
Evolution Equations in Ostensible Metric Spaces: First-order Evolutions of Nonsmooth Sets with Nonlocal Terms
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 soluti...
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ژورنال
عنوان ژورنال: Discussiones Mathematicae. Differential Inclusions, Control and Optimization
سال: 2008
ISSN: 1509-9407,2084-0365
DOI: 10.7151/dmdico.1094