Pseudomodes for biharmonic operators with complex potentials

Tho Nguyen Duc

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arXiv · 2201.03305

Pseudomodes for biharmonic operators with complex potentials

Tho Nguyen Duc

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Abstract

This article is devoted to the construction of pseudomodes of one-dimensional biharmonic operators with the complex-valued potentials via the WKB method. As a by-product, the shape of pseudospectrum near infinity can be described. This is a newly discovered systematic method that goes beyond the standard semi-classical setting which is a direct consequence. This approach can cover a wide class of previously inaccessible potentials, from logarithmic to superexponential ones.

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BibTeX RIS

Tho Nguyen Duc. 2022-01-10. Pseudomodes for biharmonic operators with complex potentials. https://arxiv.org/abs/2201.03305

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