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Boundary unique continuation for a class of elliptic equations
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 143, Number 3, June 2021
- pp. 783-810
- 10.1353/ajm.2021.0019
- Article
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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.