Year: 2024
Type: preprint
Abstract: We study the quantitative unique continuation on the boundary for solutions of elliptic equations with Neumann boundary conditions for bounded potentials and boundary potentials on compact manifolds with boundary. The boundary doubling inequality is derived from the combination of local Carleman estimates and global Carleman estimates. Some special attentions are paid to overcome the regularity issues arising from this boundary value problem.
Source: arXiv (Cornell University)
Authors: Dalberg, Jack, Zhu, Jiuyi
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403781091