Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications
DOI10.1142/s0218202523500549arXiv2212.13720MaRDI QIDQ6068356
Publication date: 15 December 2023
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2212.13720
Poincaré inequalityHelmholtz decompositionbounded domainsperidynamicsnonlocal vector calculusnonlocal modelsMarchaud fractional derivativecorrespondence modelRiesz fractional gradientnonlocal half-ball gradient operator
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Operators on real function spaces (47B92)
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