Partial regularity for degenerate variational problems and image restoration models in BV

DOI10.1512/IUMJ.2014.63.5174zbMath1319.49058OpenAlexW2015778746WikidataQ113073724 ScholiaQ113073724MaRDI QIDQ5174984

Thomas Schmidt

Publication date: 19 February 2015

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/67a949c692123b07ed7942ec2cc3283edf9932b6

zbMATH Keywords

partial regularityHölder continuityimage restorationinterior gradient regularitydegenerate variational problems

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Regularity of solutions in optimal control (49N60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (8)

Partial regularity for \(\omega\)-minimizers of quasiconvex functionals ⋮ The regularity of minima for the Dirichlet problem on BD ⋮ On the solvability in Sobolev spaces and related regularity results for a variant of the TV-image recovery model: the vector-valued case ⋮ Partial regularity for mass-minimizing currents in Hilbert spaces ⋮ Partial regularity for symmetric quasiconvex functionals on BD ⋮ Partial regularity for BV minimizers ⋮ On a Neumann problem for variational functionals of linear growth ⋮ Interior gradient regularity for \(\mathrm{BV}\) minimizers of singular variational problems

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