Free discontinuity problems generated by singular perturbation: the n−dimensional case
Published online by Cambridge University Press: 11 July 2007
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 form where 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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