具有权重的各向异性Sobolev空间

IF 0.4 4区数学 Q4 MATHEMATICS Tokyo Journal of Mathematics Pub Date : 2021-12-03 DOI:10.3836/tjm/1502179386

G. Metafune, L. Negro, C. Spina

引用次数: 4

摘要

研究了半空间$\mathbb{R}^{N+1}_+=\{(x,y): x \in \mathbb{R}^N, y>0\}$中具有权值的Sobolev空间，该空间适用于奇异椭圆算子 \begin{equation*} \mathcal L =y^{\alpha_1}\Delta_{x} +y^{\alpha_2}\left(D_{yy}+\frac{c}{y}D_y -\frac{b}{y^2}\right). \end{equation*}

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Anisotropic Sobolev Spaces with Weights

We study Sobolev spaces with weights in the half-space $\mathbb{R}^{N+1}_+=\{(x,y): x \in \mathbb{R}^N, y>0\}$, adapted to the singular elliptic operators \begin{equation*} \mathcal L =y^{\alpha_1}\Delta_{x} +y^{\alpha_2}\left(D_{yy}+\frac{c}{y}D_y -\frac{b}{y^2}\right). \end{equation*}

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来源期刊

Tokyo Journal of Mathematics MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Tokyo Journal of Mathematics was founded in 1978 with the financial support of six institutions in the Tokyo area: Gakushuin University, Keio University, Sophia University, Tokyo Metropolitan University, Tsuda College, and Waseda University. In 2000 Chuo University and Meiji University, in 2005 Tokai University, and in 2013 Tokyo University of Science, joined as supporting institutions.