Author

Debangana Mukherjee

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Preprint Aug 2026

Nonlocal Tikhonov Regularization: Hilbert Scales, Explicit Rates, and the Classical Limit

We study fractional-Sobolev Tikhonov regularization for linear inverse problems on a bounded Lipschitz domain. The regularization penalty is generated by the restricted Dirichlet fractional Laplacian, and the associated variational problem is shown to admit a unique minimizer that depends Lipschitz continuously on the...

Debangana Mukherjee, A. Panda · 0 citations