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Eigenvalue asymptotics and exponential decay of eigenfunctions for the fourth order Schrödinger type operator

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Abstract

We study the eigenvalue asymptotics and exponential decay of eigenfunctions for the fourth order Schrödinger type operator \(L=(-\triangle )^2+V^2\), where V is a non-negative potential satisfying some reverse Hölder class.

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Authors and Affiliations

  1. LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, People’s Republic of China

    Yuan Zhao & Lin Tang

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  1. Yuan Zhao
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  2. Lin Tang
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Correspondence to Lin Tang.

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This work is supported by the National Natural Science Foundation of China (11771023).

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Zhao, Y., Tang, L. Eigenvalue asymptotics and exponential decay of eigenfunctions for the fourth order Schrödinger type operator. J. Pseudo-Differ. Oper. Appl. 13, 16 (2022). https://doi.org/10.1007/s11868-022-00447-w

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  • DOI: https://doi.org/10.1007/s11868-022-00447-w

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