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arxiv: 1710.08089 · v1 · pith:S367DYRUnew · submitted 2017-10-23 · 🧮 math.AP

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

classification 🧮 math.AP
keywords vanishingaddendumassumptioncornereigenfunctionsnearpropertytransmission
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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].

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