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Free discontinuity problems generated by singular perturbation: the n−dimensional case

Published online by Cambridge University Press:  11 July 2007

R. Alicandro  and
M. S. Gelli
R. Alicandro
Affiliation:
SISSA, via Beirut 4, 34013 Trieste, Italy ([email protected])
M. S. Gelli
Affiliation:
SISSA, via Beirut 4, 34013 Trieste, Italy ([email protected])
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Abstract

We provide an approximation of some free discontinuity problems by local functionals with a singular perturbation of higher order. More precisely, we study the limiting behaviour of energies of the formwhere Hu denotes the Hessian matrix of u.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 130 , Issue 3 , June 2000 , pp. 449 - 469
Copyright
Copyright © Royal Society of Edinburgh 2000

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