A sign-changing Poisson kernel for a non-symmetric elliptic operator in a bounded domain
Year: 2026
Type: preprint
Abstract: We construct an explicit sign-changing Poisson kernel for a uniformly elliptic divergence form operator in the unit disk. The coefficient matrix is non-symmetric, and its skew-symmetric part has a jump discontinuity across a fixed diameter, with the size of the jump determined by $k\in\mathbb R$. For each $1
Source: arXiv (Cornell University)
Author: Kim, Seick
Institution: Yonsei University
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7164053910
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