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math.AP2024
Regularity of Solutions for Peridynamics Equilibrium and Evolution Equations on Periodic Distributions
Thinh Dang, Bacim Alali, Nathan Albin
Results on the peridynamics equilibrium and evolution equations over the space of periodic vector-distributions in multi-spatial dimensions are presented. The associated operator c…
math.AP2024
Regularity of Solutions for the Nonlocal Wave Equation on Periodic Distributions
Thinh Dang, Bacim Alali, Nathan Albin
This work addresses the regularity of solutions for a nonlocal wave equation over the space of periodic distributions. The spatial operator for the nonlocal wave equation is given…
math.CO2024
Minimizing the determinant of the graph Laplacian
Nathan Albin, Joan Lind, Anna Melikyan +1
In this paper, we study extremal values for the determinant of the weighted graph Laplacian under simple nondegeneracy conditions on the weights. We derive necessary and sufficient…