A compactness result in GSBVpand applications to Γ -convergence for free discontinuity problems

Friedrich M (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Calculus of Variations and Partial Differential Equations Springer Verlag (Germany)

Book Volume: 58

Article Number: 86

Journal Issue: 3

DOI: 10.1007/s00526-019-1530-3

Abstract

We present a compactness result in the space GSBV p which extends the classical statement due to Ambrosio (Arch Ration Mech 111:291–322, 1990) to problems without a priori bounds on the functions. As an application, we revisit the Γ-convergence results for free discontinuity functionals established recently by Cagnetti et al. [Ann Inst H Poincaré Anal Non Linéaire (to appear)]. We investigate sequences of boundary value problems and show convergence of minimum values and minimizers.

Authors with CRIS profile

Manuel Friedrich

Involved external institutions

Westfälische Wilhelms-Universität (WWU) Münster DE Germany (DE)

How to cite

APA:

Friedrich, M. (2019). A compactness result in GSBVpand applications to Γ -convergence for free discontinuity problems. Calculus of Variations and Partial Differential Equations, 58(3). https://doi.org/10.1007/s00526-019-1530-3

MLA:

Friedrich, Manuel. "A compactness result in GSBVpand applications to Γ -convergence for free discontinuity problems." Calculus of Variations and Partial Differential Equations 58.3 (2019).

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