Interpolation Inequalities and Spectral Estimates for Magnetic Operators

Dolbeault Jean; Esteban Maria J.; Laptev Ari; Loss Michael

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Interpolation Inequalities and Spectral Estimates for Magnetic Operators

机译：磁算子的插值不等式和光谱估计

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We prove magnetic interpolation inequalities and Keller-Lieb-Thirring estimates for the principal eigenvalue of magnetic Schrodinger operators. We establish explicit upper and lower bounds for the best constants and show by numerical methods that our theoretical estimates are accurate.

机译：我们证明了磁性施罗格运营商主要特征值的磁插值不等式和Keller-LieB响估计。我们为最佳常数建立了明确的上限和下限，并通过数字方法显示我们的理论估计是准确的。

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来源
《Annales Henri Poincare》 |2018年第5期|共25页
作者
Dolbeault Jean; Esteban Maria J.; Laptev Ari; Loss Michael;
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作者单位

Univ Paris 09 PSL Res Univ CEREMADE CNRS UMR 7534 Pl Lattre Tassigny F-75775 Paris 16 France;

Univ Paris 09 PSL Res Univ CEREMADE CNRS UMR 7534 Pl Lattre Tassigny F-75775 Paris 16 France;

Imperial Coll London Dept Math Huxley Bldg 180 Queens Gate London SW7 2AZ England;

Georgia Inst Technol Sch Math Skiles Bldg Atlanta GA 30332 USA;

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正文语种 eng
中图分类理论物理学;
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专利

1. Interpolation Inequalities and Spectral Estimates for Magnetic Operators [J] . Dolbeault Jean, Esteban Maria J., Laptev Ari, Annales Henri Poincare . 2018,第5期

机译：磁算子的插值不等式和光谱估计
2. Symmetry of extremals of functional inequalities via spectral estimates for linear operators [J] . Dolbeault J., Esteban M.J., Loss M. Journal of Mathematical Physics . 2012,第9期

机译：通过谱估计的线性算子对函数不等式极值的对称性
3. Maximal inequalities and Riesz transform estimates on L~p spaces for magnetic Schr?dinger operators II [J] . Ben Ali B. Mathematische Zeitschrift . 2013,第1a2期

机译：磁性薛定ding算子在L〜p空间上的最大不等式和Riesz变换估计II
4. CARLEMAN ESTIMATES, OPTIMAL THREE CYLINDER INEQUALITIES AND UNIQUE CONTINUATION PROPERTIES FOR PARABOLIC OPERATORS [C] . Sergio Vessella International ISAAC Congress . 2003

机译：Carleman估计，最佳三缸不等式和抛物面运营商独特的延续性能
5. Multi-dimensional polynomial inequalities: Norms of interpolation operators. [D] . Fontes, Natacha. 2004

机译：多维多项式不等式：插值算子的范数。
6. C1 triangular Coons surface construction and image interpolation based on new Side-Side and Side-Vertex interpolation operators [O] . Mingshan Qiu, Yuanpeng Zhu 2020

机译：基于新的侧面和侧顶点插值运算符的C1三角核心面结构和图像插值
7. Interpolation inequalities and spectral estimates for magnetic operators [O] . Dolbeault, Jean, Esteban, Maria, Laptev, Ari, 2017

机译：磁算子的插值不等式和谱估计
8. Spectral Estimates for the Magnetic Schoedinger Operator and the Heisenberg Laplacian [R] . Hansson, A. 2008

机译：磁学schededinger算子和Heisenberg拉普拉斯算子的谱估计

Interpolation Inequalities and Spectral Estimates for Magnetic Operators

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