AN INVERSE PROBLEM FOR THE SCHROEDINGER EQUATION

机译：薛定ER方程的一个反问题

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We study the Schroedinger equation iy' + Δy + qy = 0 on Ω x (0, T) with Dirichlet boundary data y|partial derivΩ x(0,T) and initial condition y|Ω x{0} and we consider the inverse problem of determining the potential q(x), x ∈ Ω when partial deriv_y/partial deriv_v|Γ_0 x (0,T) is given, where Γ_0 is an open subset of partial derivΩ satisfying an appropriate geometrical condition. The detailed proof is given in.

机译：我们在Dirichlet边界数据y |偏导数x（0，T）和初始条件y |Ωx {0}的情况下，对Ωx（0，T）上的Schroedinger方程iy'+Δy+ qy = 0进行研究，并考虑了逆给定局部微分_y /局部微分_v |Γ_0x（0，T）时确定势q（x），x∈Ω的问题，其中Γ_0是满足适当几何条件的局部微分Ω的开放子集。给出了详细的证明。

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来源
《2nd IFAC (International Federation of Automatic Control) Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control 2003 Apr 3-5, 2003 Seville, Spain》|2003年|p.295-299|共5页
会议地点 Seville(ES)
作者
Lucie BAUDOUIN; Jean-Pierre PUEL;
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作者单位

Laboratoire de Mathematiques Appliquees, Universite de Versailles St Quentin 45 avenue des Etats Unis, 78035 Versailles Cedex, France;

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会议组织
原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
关键词
inverse problem; stability; uniqueness;

机译：反问题;稳定性;唯一性;

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1. ON INVERSE DYNAMICAL AND SPECTRAL PROBLEMS FOR THE WAVE AND SCHROEDINGER EQUATIONS ON FINITE TREES. THE LEAF PEELING METHOD [J] . S. A. Avdonin, V. S. Mikhaylov, K. B. Nurtazina Journal of Mathematical Sciences . 2017,第1期

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2. Application of He's semi-inverse method to the nonlinear Schroedinger equation [J] . Turgut Oezis, Ahmet Yildirim Computers & mathematics with applications . 2007,第7a8期

机译：He's半逆方法在非线性Schrodinger方程中的应用
3. SCHROEDINGER LIMIT OF WEAKLY DISSIPATIVE STOCHASTIC KLEIN-GORDON-SCHROEDINGER EQUATIONS AND LARGE DEVIATIONS [J] . Boling Guo, Yan Lv, Wei Wang Discrete and continuous dynamical systems . 2014,第7期

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4. Hybrid modeling of quantum light emitting diodes: Self-consistent coupling of drift-diffusion, Schroedinger–Poisson and quantum master equations [C] . Markus Kantner Physics and Simulation of Optoelectronic Devices XXVII . 2019

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5. Inverse problems for linear and semilinear elliptic equations of the Schroedinger type. [D] . Qiu, Feng. 1997

机译：Schroedinger类型的线性和半线性椭圆方程的反问题。
6. Separation of the Variables in the One-Particle Schroedinger Equation in 3-Space [O] . Luther Pfahler Eisenhart 1949

机译：一维Schroedinger方程在3维空间中的变量分离
7. L^p-L^p' Estimates for the Nonlinear Schroedinger Equation on the Line and Inverse Scattering for the Nonlinear Schroedinger Equation with a Potential [O] . Weder, Ricardo 1998

机译：L ^ p-L ^ p'线上非线性schroedinger方程的估计非线性schroedinger方程的逆散射与散射潜在
8. Inverse Back Scattering Problem for the Schroedinger Equation in Two Space Dimensions [R] . Morawetz, C. S. 1987

机译：两维空间中schroedinger方程的逆向后向散射问题

AN INVERSE PROBLEM FOR THE SCHROEDINGER EQUATION

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