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math.AP2022
Regularity of Solutions for the Nonlocal Diffusion Equation on Periodic Distributions
Ilyas Mustapha, Bacim Alali, Nathan Albin
This work addresses the regularity of solutions for a nonlocal diffusion equation over the space of periodic distributions. The spatial operator for the nonlocal diffusion equation…
math.AP2022
Linear peridynamics Fourier multipliers and eigenvalues
Bacim Alali, Nathan Albin
A characterization for the Fourier multipliers and eigenvalues of linear peridynamic operators is provided. The analysis is presented for state-based peridynamic operators for isot…