The authors establish existence and uniqueness of Helmholtz-Hodge decompositions for two-point vector fields in the nonlocal vector calculus, under Dirichlet or Neumann volume constraints.
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Helmholtz-Hodge decompositions in the nonlocal framework. Well-posedness analysis and applications
The authors establish existence and uniqueness of Helmholtz-Hodge decompositions for two-point vector fields in the nonlocal vector calculus, under Dirichlet or Neumann volume constraints.