Variational Source Conditions in $L^p$-spaces

DOI10.1137/20M1334462MaRDI QIDQ4990074

Irwin Yousept, De-Han Chen

Publication date: 28 May 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.13474

zbMATH Keywords

convergence ratesill-posed operator equationLittlewood-Paley theoryR-boundednessvariational source conditionsPDE with measure datareconstruction of unbounded coefficientsTikhonov regularization with \(L^p\)-penalties

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Nonlinear ill-posed problems (47J06) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items

On the Convergence of Stochastic Gradient Descent for Linear Inverse Problems in Banach Spaces, Variational source conditions for inverse Robin and flux problems by partial measurements, Convergence of a spectral regularization of a time-reversed reaction-diffusion problem with high-order Sobolev-Gevrey smoothness, Oversmoothing Tikhonov regularization in Banach spaces ^*

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