Weyl asymptotics of the transmission eigenvalues for a constant index of refraction

Ha Pham; Plamen Stefanov

doi:10.3934/ipi.2014.8.795

Article Contents

2014, Volume 8, Issue 3: 795-810. Doi: 10.3934/ipi.2014.8.795

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Weyl asymptotics of the transmission eigenvalues for a constant index of refraction

Ha Pham^1, and
Plamen Stefanov^2,

1.
Department of Mathematics, Purdue University, West Lafayette, IN 47907
2.
Department of Mathematics, Purdue University, 150 N University Street, West Lafayette, IN 47907

Received: September 30, 2013

Revised: March 31, 2014

Published: July 2014

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Abstract

We prove Weyl-type asymptotic formulas for the real and the complex internal transmission eigenvalues when the domain is a ball and the index of refraction is constant.

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Mathematics Subject Classification: Primary: 35P20, 47A75; Secondary: 35J40, 35P25.

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References

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