Low frequency resolvent estimates for Dirichlet Laplacian on exterior domains

Low frequency resolvent estimates for Dirichlet Laplacian on exterior domains
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外部域上狄利克雷拉普拉斯的低频解析估计

DOI:
10.1063/1.5133501
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发表时间:
2019
期刊:
AIP Conference Proceedings
影响因子:
--
通讯作者:
V. Georgiev and T. Matsuyama
V. Georgiev and T. Matsuyama
中科院分区:
--
文献类型:
--
作者:
Achleitner Franz;Ueda Yoshihiro;若狭 徹;V. Georgiev and T. Matsuyama

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本文致力于证明外部区域上波动方程的低频预解估计。这些估计是波动方程局部能量衰减证明、光滑估计和Strichartz估计的基础。证明方法是基于截断技术和自由哈密顿量的一致预解估计相结合。
This paper is devoted to proving low frequency resolvent estimates for wave equation on exterior domains. These estimates are basis of the proof of local energy decay, smoothing estimates and Strichartz estimates for wave equation. The method of proof is based on the cut-off technique combined with uniform resolvent estimates for the free Hamiltonian.
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发表时间: 2019
期刊: Comput. Math. Appl.
影响因子: --
作者:
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影响因子: 1.7
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DOI: 10.1081/pde-120024371
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