拉普拉斯方程和双调和算子的边界唯一延拓

IF 0.7 4区数学 Q2 MATHEMATICS Communications in Analysis and Geometry Pub Date : 2023-01-01 DOI:10.4310/cag.2023.v31.n1.a1

S. Berhanu

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Boundary unique continuation for the Laplace equation and the biharmonic operator

. We establish results on unique continuation at the boundary for the solutions of ∆ u = f, f harmonic, and the biharmonic equation ∆ 2 u = 0. The work is motivated by analogous results proved for harmonic functions by X. Huang et al in [HK1], [HK2], and [HKMP] and by M. S. Baouendi and L. P. Rothschild in [BR1] and [BR2].

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来源期刊

Communications in Analysis and Geometry 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.