Abstract
Let u be a solution to second order elliptic equations in Dini domains, a direct and elementary proof of the doubling property for u 2 over balls centered at points in the domain is presented. Moreover, under the zero Dirichlet boundary condition, the unique continuation at the boundary for Dini domains has been proved.
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Songyan, Z., Xiangxing, T. On Doubling Properties and the Unique Continuation at the Boundary in Dini Domains. Analysis in Theory and Applications 17, 1–9 (2001). https://doi.org/10.1023/A:1015579010464
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DOI: https://doi.org/10.1023/A:1015579010464