A Range Condition for Polyconvex Variational Regularization

DOI10.1080/01630563.2018.1467447zbMath1401.49053arXiv1802.05449OpenAlexW2963938000WikidataQ64971593 ScholiaQ64971593MaRDI QIDQ4685618

Clemens Kirisits, Otmar Scherzer

Publication date: 9 October 2018

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05449

zbMATH Keywords

convergence ratesinverse problemssource conditionsregularization theorypolyconvex functions

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Inverse problems in optimal control (49N45)

Cites Work

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• Variational methods in imaging
• Convexity conditions and existence theorems in nonlinear elasticity
• Generalized Bregman distances and convergence rates for non-convex regularization methods
• Regularization with non-convex separable constraints
• On Tikhonov regularization with non-convex sparsity constraints
• Convergence rates of convex variational regularization
• A Hyperelastic Regularization Energy for Image Registration
• A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
• Convergence rates for regularization functionals with polyconvex integrands

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