On the number of eigenvalues of the biharmonic operator on \(\mathbb{R}^3\) perturbed by a complex potential

DOI10.1016/S0034-4877(18)30054-5zbMath1402.31003OpenAlexW2810897159MaRDI QIDQ1626200

Artem Hulko

Publication date: 27 November 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(18)30054-5

zbMATH Keywords

complex potentialbiharmonic operatornumber of eigenvaluesnon-self-adjoint

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (3)

Sharp bounds for eigenvalues of biharmonic operators with complex potentials in low dimensions ⋮ Pseudomodes for Biharmonic Operators with Complex Potentials ⋮ Lieb-Thirring inequalities for an effective Hamiltonian of bilayer graphene

Cites Work

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• Schrödinger operator with non-zero accumulation points of complex eigenvalues
• Eigenvalue estimates for Schrödinger operators with complex potentials
• Notes on infinite determinants of Hilbert space operators
• On the number of eigenvalues of the discrete one-dimensional Schrödinger operator with a complex potential
• On the number of eigenvalues of Schrödinger operators with complex potentials
• The Algebraic Multiplicity of Eigenvalues and the Evans Function Revisited

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