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 F epsilon(u) = 1/epsilon integral(Omega) f(epsilon\del u\(2)) dx + epsilon(2) integral(Omega)\Hu\(2)dx, where Hu denotes the Hessian matrix of u.
Free-discontinuity problems generated by singular perturbation: the N-dimensional case
GELLI, MARIA STELLA
2000-01-01
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 F epsilon(u) = 1/epsilon integral(Omega) f(epsilon\del u\(2)) dx + epsilon(2) integral(Omega)\Hu\(2)dx, where Hu denotes the Hessian matrix of u.File in questo prodotto:
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