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Convex duality and uniqueness for BV-minimizers

  • Published:2015-05 Issue:10 Volume:268 Page:3061-3107
  • ISSN:0022-1236
  • Container-title:Journal of Functional Analysis
  • language:en
  • Short-container-title:Journal of Functional Analysis

Author:

Beck Lisa,Schmidt Thomas

Funder

ERC

Publisher

Elsevier BV

Subject

Analysis

Reference37 articles.

1. Functions of Bounded Variation and Free Discontinuity Problems;Ambrosio,2000

2. Pairings between measures and bounded functions and compensated compactness;Anzellotti;Ann. Mat. Pura Appl. (4),1983

3. On the minima of functionals with linear growth;Anzellotti;Rend. Semin. Mat. Univ. Padova,1986

4. BV solutions of quasilinear PDEs in divergence form;Anzellotti;Comm. Partial Differential Equations,1987

5. G. Anzellotti, Traces of bounded vectorfields and the divergence theorem, preprint, 1983, 43 pages.

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1. Approximation of BV space-defined Functionals Containing Piecewise Integrands with L¹ Condition;European Journal of Pure and Applied Mathematics;2023-10-30

2. On the definition of solution to the total variation flow;Calculus of Variations and Partial Differential Equations;2022-01-16

3. Lower Semicontinuity in L 1 of a Class of Functionals Defined on B V with Carathéodory Integrands;Abstract and Applied Analysis;2021-11-24

4. On a class of variational problems with linear growth and radial symmetry;Commentationes Mathematicae Universitatis Carolinae;2021-10-28

5. Lower semicontinuity and Γ-convergence of a class of linear growth functionals;Nonlinear Analysis;2019-11
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