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Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions

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We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex‐valued potentials in dimensions one, two and three. Click to show full abstract

We derive sharp quantitative bounds for eigenvalues of biharmonic operators perturbed by complex‐valued potentials in dimensions one, two and three.

Keywords: bounds eigenvalues; operators complex; eigenvalues biharmonic; complex potentials; sharp bounds; biharmonic operators

Journal Title: Mathematische Nachrichten
Year Published: 2019

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