Boundary unique continuation for a class of elliptic equations

IF 1.7 1区数学 Q1 MATHEMATICS

American Journal of Mathematics Pub Date : 2021-06-08 DOI:10.1353/AJM.2021.0019

S. Berhanu

引用次数: 4

Abstract

abstract:We establish results on unique continuation at the boundary for the solutions of real analytic elliptic partial differential equations of the form $Lu=\Delta u+a(x,y)\partial_{x}u+b(x,y)\partial_{y}u+c(x,y)u=0$ in two dimensions.

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一类椭圆型方程的边界唯一延拓

文摘：我们建立了形式为$Lu=\Delta u+a（x，y）\partial的实解析椭圆型偏微分方程解在边界上唯一延拓的结果_{x}u+b（x，y）\部分_{y}u+c（x，y）u＝0$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

American Journal of Mathematics 数学-数学

CiteScore

3.20

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field. Published since 1878, the Journal has earned its reputation by presenting pioneering mathematical papers. It does not specialize, but instead publishes articles of broad appeal covering the major areas of contemporary mathematics. The American Journal of Mathematics is used as a basic reference work in academic libraries, both in the United States and abroad.