Transmission Eigenvalues Problem of a Schrödinger Equation

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Date

2024

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Tubitak Scientific & Technological Research Council Turkey

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Abstract

In this paper, transmission eigenvalues of a Schrödinger equation have been studied by constructing a new inner product and using Weyl theory. Necessary conditions for these eigenvalues to be negative, real, and finite have been examined. This method has provided a new framework related to transmission eigenvalue problems and the investigation of their properties. The conclusions have been verified for the special case of the problem.

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Spectral theory, transmission condition, eigenvalues, Schr & ouml, dinger equation

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Source

Turkish Journal of Mathematics

Volume

48

Issue

5

Start Page

930

End Page

940