Exponential estimates for quantum graphs
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The article studies the exponential localization of eigenfunctions associated with isolated eigenvalues of Schrödinger operators on infinite metric graphs. We strengthen the result obtained in  providing a bound for the rate of exponential localization in terms of the distance between the eigenvalue and the essential spectrum. In particular, if the spectrum is purely discrete, then the eigenfunctions decay super-exponentially.
CitationAkduman, S., & Pankov, A. (2018). Exponential estimates for quantum graphs. Electronic Journal of Differential Equations, 2018(162), pp. 1-12.
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