@article{Bernatskaya_2008, title={On the behavior of a simple-layer potential for a parabolic equation on a Riemannian manifold}, volume={60}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3206}, abstractNote={On a Riemannian manifold of nonpositive sectional curvature (Cartan-Hadamard-type manifold), we consider a parabolic equation. The second boundary-value problem for this equation is set in a bounded domain whose surface is a smooth submanifold. We prove that the gradient of the simple-layer potential for this problem has a jump when passing across the submanifold, similarly to its behavior in a Euclidean space.}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Bernatskaya, J. N.}, year={2008}, month={Jul.}, pages={879–891} }