论文标题

具有复杂电势的Biharmonic运算符的假体

Pseudomodes for biharmonic operators with complex potentials

论文作者

Duc, Tho Nguyen

论文摘要

本文致力于通过WKB方法具有具有复杂价值的一维双臂运算符的伪模的构建。作为副产品,可以描述无穷大附近的伪谱的形状。这是一种新发现的系统方法,它超出了标准的半古典环境,这是直接结果。这种方法可以涵盖从对数到巨大的巨大潜在的一系列以前难以接近的电位。

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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