摘要

The fractional laplacian is an operator appearing in several evolution models where diffusion coming from a Levy process is present but also in the analysis of fluid interphases. We provide an extension of a pointwise inequality that plays a role in their study. We begin recalling two scenarios where it has been used. After stating the results, for fractional Laplace-Beltrami and Dirichlet-Neumann operators, we provide a sketch of their proofs, unravelling the underlying principle to such inequalities.

  • 出版日期2015-8-6