On the coercivity of continuously differentiable vector fields
Classical Analysis and ODEs
2020-04-15 v1 Mathematical Physics
math.MP
Abstract
Given an arbitrary fixed continuously differentiable vector field on , we prove that this vector field is coercive if and only if its conservative part is coercive. We apply this result in order to provide sufficient conditions to guarantee the co-existence of equilibrium states of a continuously differentiable vector field and its conservative part.
Keywords
Cite
@article{arxiv.1911.00256,
title = {On the coercivity of continuously differentiable vector fields},
author = {Razvan M. Tudoran},
journal= {arXiv preprint arXiv:1911.00256},
year = {2020}
}
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4 pages