A Second Order Local Minimality Criterion for the Triple Junction Singularity of the Mumford-shah Functional
نویسنده
چکیده
This paper is the first part of an ongoing project aimed at providing a local minimality criterion, based on a second variation approach, for the triple point configurations of the Mumford-Shah functional.
منابع مشابه
A Second Order Minimality Condition for the Mumford-shah Functional
A new necessary minimality condition for the Mumford-Shah functional is derived by means of second order variations. It is expressed in terms of a sign condition for a nonlocal quadratic form on H1 0 (Γ) , Γ being a submanifold of the regular part of the discontinuity set of the critical point. Two equivalent formulations are provided: one in terms of the first eigenvalue of a suitable compact ...
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