Mathematical analysis of nonlocal PDEs for network generation
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Modelling of Natural Phenomena"
DOI: 10.1051/mmnp/2019057
Abstract: In this paper, we study a certain class of nonlocal partial differential equations (PDEs). The equations arise from a key problem in network science, i.e., network generation from local interaction rules, which result in a… read more here.
Keywords: analysis nonlocal; network generation; network; nonlocal pdes ... See more keywords
External optimal control of nonlocal PDEs
Sign Up to like & getrecommendations! Published in 2019 at "Inverse Problems"
DOI: 10.1088/1361-6420/ab1299
Abstract: Very recently M. Warma has shown that for nonlocal PDEs associated with the fractional Laplacian, the classical notion of controllability from the boundary does not make sense and therefore it must be replaced by a… read more here.
Keywords: control; source control; external optimal; nonlocal pdes ... See more keywords