Pseudomodes for biharmonic operators with complex potentials
Spectral Theory
2022-01-11 v1 Mathematical Physics
Analysis of PDEs
Functional Analysis
math.MP
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.
Cite
@article{arxiv.2201.03305,
title = {Pseudomodes for biharmonic operators with complex potentials},
author = {Tho Nguyen Duc},
journal= {arXiv preprint arXiv:2201.03305},
year = {2022}
}
Comments
39 pages