Bounding Regions to Plane Steepest Descent Curves of Quasiconvex Families

Two-dimensional steepest descent curves (SDC) for a quasiconvex family are considered; the problem of their extensions (with constraints) outside of a convex body K is studied. It is shown that possible extensions are constrained to lie inside of suitable bounding regions depending on K. These regio...

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Bibliographic Details
Main Authors: Marco Longinetti, Paolo Manselli, Adriana Venturi
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2016/4873276