Localization results are established for nonlocal gradient-based optimal control problems by taking the fractional parameter to 1 or the horizon parameter to 0 in two specific energy settings.
Non-local gradients in bounded domains motivated by continuum mechanics: Fundamental theorem of calculus and embeddings.Advances in Nonlinear Analysis, 12(1):20220316
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Localization for nonlocal gradient-based optimal control problems
Localization results are established for nonlocal gradient-based optimal control problems by taking the fractional parameter to 1 or the horizon parameter to 0 in two specific energy settings.