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arXiv 2201.03305math.SPmath-phmath.APmath.FAmath.MP
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具有复位势的双调和算子的伪模

Pseudomodes for biharmonic operators with complex potentials

Tho Nguyen Duc

摘要:

本文利用WKB方法构造了具有复值位势的一维双调和算子的伪模。作为副产品,可以描述无穷远附近的伪谱的形状。这是一种新发现的系统方法,超越了标准的半经典设置,这是一个直接的结果。这种方法可以覆盖广泛的类以前无法访问的潜力,从对数到超指数的。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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