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Bilinear forms on non-homogeneous Sobolev spaces
Forum Mathematicum ( IF 0.8 ) Pub Date : 2020-07-01 , DOI: 10.1515/forum-2019-0311
Carme Cascante 1 , Joaquín M. Ortega 2
Affiliation  

Abstract In this paper, we show that if b ∈ L 2 ⁢ ( ℝ n ) {b\in L^{2}(\mathbb{R}^{n})} , then the bilinear form defined on the product of the non-homogeneous Sobolev spaces H s 2 ⁢ ( ℝ n ) × H s 2 ⁢ ( ℝ n ) {H_{s}^{2}(\mathbb{R}^{n})\times H_{s}^{2}(\mathbb{R}^{n})} , 0 < s < 1 {0

中文翻译:

非齐次 Sobolev 空间上的双线性形式

摘要 在本文中,我们证明如果 b ∈ L 2 ⁢ ( ℝ n ) {b\in L^{2}(\mathbb{R}^{n})} ,那么定义在非齐次 Sobolev 空间 H s 2 ⁢ ( ℝ n ) × H s 2 ⁢ ( ℝ n ) {H_{s}^{2}(\mathbb{R}^{n})\times H_{s}^{ 2}(\mathbb{R}^{n})} , 0 < s < 1 {0
更新日期:2020-07-01
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