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].

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

Cited by in corpus (5)

• On a local geometric property of the generalized elastic transmission eigenfunctions and application
• Determining a piecewise conductive medium body by a single far-field measurement
• Geometrical and topological properties of transmission resonance and artificial mirage
• On new surface-localized transmission eigenmodes
• Cones with convoluted geometry that always scatter or radiate