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arxiv: 1501.00797 · v1 · pith:KV54PR5Gnew · submitted 2015-01-05 · 🧮 math.AP · math-ph· math.MP

Transmission eigenvalues for strictly concave domains

classification 🧮 math.AP math-phmath.MP
keywords concavedomainsstrictlytransmissionalmostasymptoticsconsequencecounting
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We prove that for strictly concave domains much larger transmission eigenvalue-free regions exist. As a consequence, we get Weyl asymptotics for the total counting function with an almost optimal remainder term.

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