Analytic smoothing effect for the Schroedinger equation relative to the harmonic oscillator equation

Amel Atallah Baraket; Chokri Mechergui

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Analytic smoothing effect for the Schroedinger equation relative to the harmonic oscillator equation

机译：Schroedinger方程相对于谐振子方程的解析平滑效果

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摘要

We study the microlocal analytic smoothing effect for the solutions of the Schroedinger equation associated with the harmonic oscillator using the method of Martinez, Nakamura and Sordoni (Comm. Pure Appl. Math. 59 (2006), 1330-1351) of microlocal weights estimates.

机译：我们使用微局部权重估计的Martinez，Nakamura和Sordoni（通信纯粹应用数学59（2006），1330-1351）的方法研究了与谐波振荡器相关的Schroedinger方程解的微局部解析平滑效果。

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来源
《Asymptotic analysis》 |2009年第2期|29-48|共20页
作者
Amel Atallah Baraket; Chokri Mechergui;
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作者单位

Faculte des Sciences de Tunis, Dept. de Mathematiques, 2092, Tunis, Tunisie;

Faculte des Sciences de Tunis, Dept. de Mathematiques, 2092, Tunis, Tunisie;

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正文语种 eng
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关键词
FBI transform; propagation of singularities; Schroedinger equation; wave front set;

机译：FBI转换;奇点的传播;薛定inger方程;波前集;

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1. Global Well-Posedness and Analytic Smoothing Effect for the Dissipative Nonlinear Schroedinger Equations [J] . Hoshino Gaku Journal of dynamics and differential equations . 2019,第4期

机译：耗散非线性Schroedinger方程的整体适定性和解析平滑效果
2. An Analytical Approach To Soliton Of The Saturable Non-linear Schroedinger Equation Determination And Consideration Of Stability Of Solitary Solutions Of Cubic-quintic Non-linear Schroedinger Equation (cqnlse) [J] . Behrooz Adib, Alireza Heidari, Sayyed Faramarz Tayyari Communications in Nonlinear Science and Numerical Simulation . 2009,第5期

机译：饱和非线性Schroedinger方程确定的孤子解析方法和立方五次非线性Schroedinger方程（cqnlse）的孤立解稳定性的考虑
3. THE NONLINEAR SCHROEDINGER EQUATIONS WITH HARMONIC POTENTIAL IN MODULATION SPACES [J] . Bhimani Divyang G. Discrete and continuous dynamical systems . 2019,第10期

机译：调制空间中具有调和势的非线性Schroedinger方程
4. Exact Analytical Solutions to the Nonlinear Schroedinger Equation Model [C] . Biao Li, Yong Chen, Qi Wang International Symposium on Symbolic and Algebraic Computation(ISSAC'05); 20050724-27; Beijing(CN) . 2005

机译：非线性Schroedinger方程模型的精确解析解
5. Coherence and decoherence processes of a harmonic oscillator coupled with finite temperature field: Exact eigenbasis solution of Kossakowski-Linblad's equation [D] . Tay, Buang Ann 2004

机译：与有限温度场耦合的谐振子的相干和去相干过程：Kossakowski-Linblad方程的精确本征基解
6. Robust identification of harmonic oscillator parameters using the adjoint Fokker–Planck equation [O] . E. Boujo, N. Noiray -1

机译：使用伴随Fokker-Planck方程可靠地识别谐波振荡器参数
7. Critical nonlinear Schroedinger equations with and without harmonic potential [O] . Carles, Remi 2002

机译：具有和不具有谐波的临界非线性schroedinger方程潜在
8. Hierarchy of the Euclidean Non-Linear Schroedinger Equation is a Harmonic Oscillator Containing KdV. [R] . Kolsrud, T. 2004

机译：欧几里德非线性schroedinger方程的层次结构是包含KdV的谐振子。

Analytic smoothing effect for the Schroedinger equation relative to the harmonic oscillator equation

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