On the strong maximum principle for nonlocal operators
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2193-z
Abstract: In this paper we derive a strong maximum principle for weak supersolutions of nonlocal equations of the form $$\begin{aligned} Iu=c(x) u \qquad \text { in }\,\Omega , \end{aligned}$$Iu=c(x)uinΩ,where $$\Omega \subset \mathbb {R}^N$$Ω⊂RN is a domain,… read more here.
Keywords: strong maximum; nonlocal operators; maximum principle; principle nonlocal ... See more keywords
Nonlocal operators with local boundary conditions in higher dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-9624-6
Abstract: We present novel nonlocal governing operators in 2D/3D for wave propagation and diffusion. The operators are inspired by peridynamics. They agree with the original peridynamics operator in the bulk of the domain and simultaneously enforce… read more here.
Keywords: operators local; local boundary; boundary conditions; nonlocal operators ... See more keywords
Using nonlocal operators for measuring dimensions of defects in radiograph of welded objects
Sign Up to like & getrecommendations! Published in 2021 at "European Physical Journal Plus"
DOI: 10.1140/epjp/s13360-021-01652-0
Abstract: The radiography testing (RT) method is one of the most common tools used for the inspection of industrial specimens for defect detection. Although modern industrial radiography systems are capable of providing radiography images with a… read more here.
Keywords: defect detection; nonlocal operators; operators measuring; using nonlocal ... See more keywords