Defines a Dirichlet-to-Neumann map for the spectral fractional Laplacian with inhomogeneous data, analyzes the inverse problem of recovering information from it, and proves a density result.
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2 Pith papers cite this work, alongside 242 external citations. Polarity classification is still indexing.
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Existence of optimal solutions together with first-order and necessary/sufficient second-order optimality conditions are established for pointwise tracking optimal control of a fractional semilinear elliptic PDE.
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Inverse problems for the spectral fractional Laplacian with inhomogeneous Dirichlet boundary data
Defines a Dirichlet-to-Neumann map for the spectral fractional Laplacian with inhomogeneous data, analyzes the inverse problem of recovering information from it, and proves a density result.
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A pointwise tracking optimal control problem for a fractional, semilinear PDE
Existence of optimal solutions together with first-order and necessary/sufficient second-order optimality conditions are established for pointwise tracking optimal control of a fractional semilinear elliptic PDE.