Self–adjoint Extensions for the Neumann Laplacian and Applications

@article{Nazarov2006SelfadjointEF,
  title={Self–adjoint Extensions for the Neumann Laplacian and Applications},
  author={Sergei A. Nazarov and Jan Sokołowski},
  journal={Acta Mathematica Sinica},
  year={2006},
  volume={22},
  pages={879-906}
}
A new technique is proposed for the analysis of shape optimization problems. The technique uses the asymptotic analysis of boundary value problems in singularly perturbed geometrical domains. The asymptotics of solutions are derived in the framework of compound and matched asymptotics expansions. The analysis involves the so–called interior topology variations. The asymptotic expansions are derived for a model problem, however the technique applies to general elliptic boundary value problems… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 20 CITATIONS