THE DIRICHLET-TO-NEUMANN MAP FOR SCHRODINGER OPERATORS WITH COMPLEX POTENTIALS

Jussi Behrndt; A. F. M. ter Elst

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THE DIRICHLET-TO-NEUMANN MAP FOR SCHRODINGER OPERATORS WITH COMPLEX POTENTIALS

机译：具有复势的Schrodinger算子的Dirichlet到Neuman映射

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摘要

Let Ω ⊂ R~d be a bounded open set with Lipschitz boundary and let q: Ω → C be a bounded complex potential. We study the Dirichlet-to-Neumann graph associated with the operator -∆ + q and we give an example in which it is not m-sectorial.

机译：设Ω⊂R〜d为Lipschitz边界的有界开集，设q：Ω→C为有界复势。我们研究了与算子-∆ + q相关的Dirichlet-to-Neumann图，并给出了一个非m-割线的例子。

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来源
《Discrete and continuous dynamical systems》 |2017年第4期|661-671|共11页
作者
Jussi Behrndt; A. F. M. ter Elst;
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作者单位

Institut fuer Numerische Mathematik Technische Universitaet Graz Steyrergasse 30, A-8010 Graz, Austria;

Department of Mathematics University of Auckland Private bag 92019, Auckland 1142, New Zealand;

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正文语种 eng
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关键词
Dirichlet-to-Neumann graph; m-sectorial graph; form methods;

机译：Dirichlet-to-Neumann图;m截面图;形成方法;

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1. INCREASING STABILITY FOR DETERMINING THE POTENTIAL IN THE SCHRODINGER EQUATION WITH ATTENUATION FROM THE DIRICHLET-TO-NEUMANN MAP [J] . Isakov Victor, Wang Jenn-Nan Inverse problems and imaging . 2014,第4期

机译：从Dirichlet到Neuman映射的衰减增加了Schrodinger方程中电位的确定性
2. Stability for the inverse potential problem by the local Dirichlet-to-Neumann map for the Schrodinger equation [J] . INES KAMOUN FATHALLAH Applicable Analysis . 2007,第7期

机译：Schrodinger方程的局部Dirichlet-to-Neumann映射的逆势问题的稳定性
3. L~p MAPPING PROPERTIES FOR NONLOCAL SCHRODINGER OPERATORS WITH CERTAIN POTENTIALS [J] . Choi Woocheol, Kim Yong-Cheol Discrete and continuous dynamical systems . 2018,第11期

机译：具有局部电势的非局部Schrodinger算子的L〜p映射性质
4. LOCALIZATION FOR SCHRODINGER OPERATORS WITH RANDOM VECTOR POTENTIALS [C] . F. GHRIBI, P D HISLOP, F KLOPP International Conference on Transport and Spectral Problems in Quantum Mechanics . 2007

机译：Schrodinger运算符的本地化，随机矢量电位
5. On the spectra of Schrodinger and Jacobi operators with complex-valued quasi-periodic algebro-geometric coefficients [D] . Batchenko, Vladimir 2005

机译：具有复值拟周期代数几何系数的Schrodinger和Jacobi算子的谱
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7. Increasing stability for determining the potential in the Schrodinger equation with attenuation from the Dirichlet-to-Neumann map [O] . Isakov, Victor, 1947-, Wang, Jenn-Nan 2014

机译：从狄利克雷到诺伊曼图的衰减增加了用于确定Schrodinger方程中电势的稳定性

THE DIRICHLET-TO-NEUMANN MAP FOR SCHRODINGER OPERATORS WITH COMPLEX POTENTIALS

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