English

Shape flows for spectral optimization problems

Analysis of PDEs 2011-09-27 v1 Optimization and Control

Abstract

We consider a general formulation of gradient flow evolution for problems whose natural framework is the one of metric spaces. The applications we deal with are concerned with the evolution of {\it capacitary measures} with respect to the γ\gamma-convergence dissipation distance and with the evolution of domains in spectral optimization problems.

Keywords

Cite

@article{arxiv.1109.5243,
  title  = {Shape flows for spectral optimization problems},
  author = {Dorin Bucur and Giuseppe Buttazzo and Ulisse Stefanelli},
  journal= {arXiv preprint arXiv:1109.5243},
  year   = {2011}
}

Comments

24 pages, 0 figures

R2 v1 2026-06-21T19:09:41.341Z