English

Addendum to: "On vanishing near corners of transmission eigenfunctions"

Analysis of PDEs 2017-10-24 v1

Abstract

In this addendum, we relax a restrictive assumption in [1] needed for the interior transmission eigenfunctions to hold the intrinsic geometric vanishing property in a corner. In addition we present in more detail another assumption which can also guarantee the vanishing property, namely being locally H2H^2 near the corner. This was mentioned briefly in [1].

Keywords

Cite

@article{arxiv.1710.08089,
  title  = {Addendum to: "On vanishing near corners of transmission eigenfunctions"},
  author = {Eemeli Blåsten and Hongyu Liu},
  journal= {arXiv preprint arXiv:1710.08089},
  year   = {2017}
}

Comments

Addendum to [1] Bl{\aa}sten, Liu: On vanishing near corners of transmission eigenfunctions, Journal of Functional Analysis, 273, 11 (2017), 3616-3632, arXiv:1701.07957