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

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 $H^2$ near the corner. This was mentioned briefly in [1].

arXiv commentAddendum to [1] Blåsten, Liu: On vanishing near corners of transmission eigenfunctions, Journal of Functional Analysis, 273, 11 (2017), 3616-3632, arXiv:1701.07957

References in corpus (2)

• On vanishing near corners of transmission eigenfunctions
• Recovering piecewise constant refractive indices by a single far-field pattern

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