The goal of the work is to verify the fractional Leibniz rule for Dirichlet Laplacian in the exterior domain of a compact set. The key point is the proof of gradient estimates for the Dirichlet problem of the heat equation in the exterior domain. Our results describe the time decay rates of the derivatives of solutions to the Dirichlet problem.
|ジャーナル||Discrete and Continuous Dynamical Systems- Series A|
|出版ステータス||Published - 2019 2|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics