Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications
Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications
This work contributes to nonlocal vector calculus as an indispensable mathematical tool for the study of nonlocal models that arises in a variety of applications. We define the nonlocal half-ball gradient, divergence and curl operators with general kernel functions (integrable or fractional type with finite or infinite supports) and study …