Structure of shape derivatives around irregular domains and applications

Details Structure of shape derivatives around irregular domains and applications Structure of shape derivatives around irregular domains and applications

2006-09-19

arxiv.org/abs/math/0609526v1

Mathematics

Optimization and Control

Scientific paper

In this paper, we describe the structure of shape derivatives around sets which are only assumed to be of finite perimeter in $\R^N$. This structure allows us to define a useful notion of positivity of the shape derivative and we show it implies its continuity with respect to the uniform norm when the boundary is Lipschitz (this restriction is essentially optimal). We apply this idea to various cases including the perimeter-type functionals for convex and pseudo-convex shapes or the Dirichlet energy of an open set.

Affiliated with

Also associated with

No associations

Rating

Structure of shape derivatives around irregular domains and applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Structure of shape derivatives around irregular domains and applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structure of shape derivatives around irregular domains and applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-466310