THE SPECTRUM OF THE ELASTICITY PROBLEM FOR A SPIKED BODY

S. A. Nazarov

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THE SPECTRUM OF THE ELASTICITY PROBLEM FOR A SPIKED BODY

机译：钉体的弹性问题谱

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摘要

We establish the existence of continuous spectrum for the operator of the linear elasticity problem in a three-dimensional domain with a sufficiently sharp spiked singularity of the boundary. We obtain some information about the structure of the spectrum and verify the weighted Korn inequality, which enables us to prove that the spectrum is discrete for insufficiently sharp spikes. We state some open questions.

机译：我们建立了一个线性频谱问题的算子在三维域中具有足够尖锐的边界奇点的连续谱的存在性。我们获得了有关频谱结构的一些信息，并验证了加权Korn不等式，这使我们能够证明频谱是离散的，而尖峰不足。我们提出一些未解决的问题。

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来源
《Siberian Mathematical Journal》 |2008年第5期|共20页
作者
S. A. Nazarov;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
elasticity equations; zero cusp; spike; discrete spectrum; continuous spectrum;

机译：弹性方程;零尖峰;尖峰;离散谱;连续谱;

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1. On the structure of the spectrum for the elasticity problem in a body with a supersharp spike [J] . Bakharev FL, Nazarov SA Siberian Mathematical Journal . 2009,第4期

机译：具有尖锐尖峰的物体中的弹性问题的频谱结构
2. Orthodromic spike generation from electrical stimuli in the rat carotid body: implications for the afferent spike generation process. [J] . Donnelly DF The Journal of Physiology . 2007,第Pta1期

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3. SARS coronavirus spike polypeptide DNA vaccine priming with recombinant spike polypeptide from Escherichia coli as booster induces high titer of neutralizing antibody against SARS coronavirus [J] . Woo PC, Lau SK, Tsoi HW, Vaccine . 2005,第42期

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4. Deep Spiking Delayed Feedback Reservoirs and Its Application in Spectrum Sensing of MIMO-OFDM Dynamic Spectrum Sharing [C] . Kian Hamedani, Lingjia Liu, Shiya Liu, AAAI Conference on Artificial Intelligence . 2020

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5. Coherence Spectrum Analysis of the Multi-Unit Spikes in Area MT for the Motion Correlation Detection [D] . Hu, Hao. 2020

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6. Orthodromic spike generation from electrical stimuli in the rat carotid body: implications for the afferent spike generation process [O] . David F Donnelly 2007

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7. Orthodromic spike generation from electrical stimuli in the rat carotid body: implications for the afferent spike generation process [O] . Donnelly, David F 2007

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THE SPECTRUM OF THE ELASTICITY PROBLEM FOR A SPIKED BODY

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