Journal
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Volume 51, Issue 1-2, Pages 315-342Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00526-013-0676-7
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Funding
- ERC [290888]
- European Research Council (ERC) [290888] Funding Source: European Research Council (ERC)
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We present an approximation result for functions belonging to the space with square integrable and finite. The approximating functions are piecewise continuous functions such that in , in , , and . As an application, we provide the extension to the vector-valued case of the -convergence result in proved by Ambrosio and Tortorelli (Commun Pure Appl Math 43:999-1036, 1990; Boll. Un. Mat. Ital. B (7) 6:105-123, 1992).
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