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Comparison of Nonlocal Operators Utilizing Perturbation Analysis
(Springer Verlag, 2016)
We present a comparative study of integral operators used in nonlocal problems. The size of nonlocality is determined by the parameter ?. The authors recently discovered a way to incorporate local boundary conditions into ...
On a class of nonlocal wave equations from applications
(American Institute of Physics Inc., 2016-06)
We study equations from the area of peridynamics, which is a nonlocal extension of elasticity. The governing equations form asystem of nonlocal wave equations. We take a novel approach by applying operator theory methods ...