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

Schmidt T (2014)

Publication Language: English

Publication Type: Journal article, Original article

Publication year: 2014

Journal

Indiana University Mathematics Journal Indiana University Mathematics Journal

Publisher: Indiana University Mathematics Journal

Book Volume: 63

Pages Range: 213-279

Journal Issue: 1

URI: http://cvgmt.sns.it/paper/1848/

DOI: 10.1512/iumj.2014.63.5174

Abstract

We establish partial and local C1,α-regularity results for vectorial almost-minimizers of convex variational integrals in BV. In particular, we investigate cases with a degenerate or singular behavior of p-Laplace type, and we cover (local) minimizers of the exemplary integrals ∫ Ω (1 + |∇w|p)1/p dχ with 1 < p < ∞. We also treat some related models with lower-order terms, which are motivated by image restoration. © Indiana University Mathematics Journal.

Authors with CRIS profile

Thomas Schmidt Department Mathematik

How to cite

APA:

Schmidt, T. (2014). Partial regularity for degenerate variational problems and image restoration models in BV. Indiana University Mathematics Journal, 63(1), 213-279. https://dx.doi.org/10.1512/iumj.2014.63.5174

MLA:

Schmidt, Thomas. "Partial regularity for degenerate variational problems and image restoration models in BV." Indiana University Mathematics Journal 63.1 (2014): 213-279.

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