Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients

Polyakov D. M.

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Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients

机译：具有非光滑系数的四阶非自伴算子的谱分析

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Using the method of similar operators, we study the spectral properties of a fourth-order differential operator with two types of classical boundary conditions. We obtain asymptotics for the spectrum and estimates for the spectral decompositions of this operator. We construct the semigroup generated by the opposite fourth-order differential operator.

机译：使用相似算子的方法，我们研究了具有两种经典边界条件的四阶微分算子的光谱性质。我们获得该谱的渐近性并估计该算符的谱分解。我们构造由相反的四阶微分算子生成的半群。

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《Siberian Mathematical Journal》 |2015年第1期|共17页
作者
Polyakov D. M.;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
fourth-order differential operator; spectrum of operator; method of similar operators;

机译：四阶微分算子;算子的谱;相似算子的方法;

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专利

1. Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients [J] . Polyakov D. M. Siberian Mathematical Journal . 2015,第1期

机译：具有非光滑系数的四阶非自伴算子的谱分析
2. On the Spectral Characteristics of Non-Self-Adjoint Fourth-Order Operators with Matrix Coefficients [J] . Polyakov D. M. Mathematical notes . 2019,第3a4期

机译：具有矩阵系数的非自伴四阶算子的谱特征
3. On the Spectral Characteristics of Non-Self-Adjoint Fourth-Order Operators with Matrix Coefficients [J] . Polyakov D. M. Mathematical notes . 2019,第3a4期

机译：关于矩阵系数的非自伴四阶运营商的光谱特性
4. SOME RESULTS ON SPECTRAL ANALYSISOF NONSELFADJOINT PERTURBATIONSFOR SCHRODINGER AND WAVE EQUATIONS [C] . MITSUTERU KADOWAKI, HIDEO NAKAZAWA, KAZUO WATANABE International Society for Analysis, Applications, and Computation . 2009

机译：Schrodinger和波动方程Noneelf伴随扰动的谱分析结果
5. Asymptotic and spectral analysis of nonselfadjoint operators generated by a coupled Euler-Bernoulli/Timoshenko beam model [D] . Peterson, Cheryl Anne 2002

机译：Euler-Bernoulli / Timoshenko耦合梁模型产生的非自伴算子的渐近和频谱分析
6. Analysis of stimulus-related activity in rat auditory cortex using complex spectral coefficients [O] . Bryan M. Krause, Matthew I. Banks -1

机译：使用复杂频谱系数分析大鼠听觉皮层中与刺激相关的活动
7. Spectral analysis of nonselfadjoint Schrödinger operators with a matrix potential [O] . Saltan Suna, Allahverdiev Bilender P. 2005

机译：具有矩阵势的非自伴Schrödinger算子的频谱分析
8. Spectral Analysis of a Fourth-Order Singular Differential Operator Arising in Combustion [R] . Kaper, H. G. , Schultze, B. 1988

机译：燃烧过程中四阶奇异微分算子的谱分析

Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients

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