Semi-classical analysis and pseudo-spectra
Semi-classical analysis and pseudo-spectra
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DOI：
10.1016/j.jde.2005.03.005
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发表时间：
2005-09-01
影响因子：
2.4
通讯作者：
Davies, EB
中科院分区：
文献类型：
--
作者：
Davies, EB
我们证明了非自伴随算子的近似谱定理，并研究了它在半经典极限下二阶微分算子的应用。这导致了一个扭曲的FBI转型的构建。我们还研究了半经典极限下伪谱与边界条件之间的联系。(c) 2005爱思唯尔公司版权所有。
We prove an approximate spectral theorem for non-self-adjoint operators and investigate its applications to second-order differential operators in the semi-classical limit. This leads to the construction of a twisted FBI transform. We also investigate the connections between pseudo-spectra and boundary conditions in the semi-classical limit. (c) 2005 Elsevier Inc. All rights reserved.