Variational analysis in Sobolev and BV spaces

By Ivan P. Gavrilyuk. Mathematics of Computation, 2007

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A duality-based approach to elliptic control problems in non-reflexive Banach spaces (2011, unknown): “, [1,3] (our notation follows the latter).”
An introduction to continuous optimization for imaging (2016, background): “…jump set, that is, the set of points where the function u is allowed to jump and Hd−1 is the (d − 1)-dimensional Hausdorff measure (Ambrosio et al. 2000, Attouch et al. 2014, Evans and Gariepy 1992), which is, for d = 2, the length of the jump set Su and hence the total length of edges in u.”
NONSMOOTH ANALYSIS AND OPTIMIZATION (2017, background): “¿e classical reference for convex analysis and duality is [Ekeland and Témam 1999], while [Attouch, Buttazzo, and Michaille 2006, Chapter 9] contains a readable and complete overview.”
Entropic regularization of continuous optimal transport problems (2019, unknown): “III.4] or [2, Chap.”
Posterior Contraction Rates for the Bayesian Approach to Linear Ill-Posed Inverse Problems (2012, unknown): “It is well known that A0 has a compact inverse and that it possesses an eigensystem {ρ2 k , ek} ∞ k=1, where the eigenfunctions {ek} form a complete orthonormal basis of X and the eigenvalues ρ2 k behave asymptotically like k 2 d [2].”
Variable Selection (2019, methodology): “In contrast, visual cognition is concerned with how the human visual system makes inferences about the large-scale composition of a visual scene using partial information [1–3].”