Ambrosio, L; De Lellis, C; Mantegazza, C (1999). Line energies for gradient vector fields in the plane. Calculus of Variations and Partial Differential Equations, 9(4):327-255.
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In this paper we study the singular perturbation of by . This problem, which could be thought as the natural second order version of the classical singular perturbation of the potential energy by , leads, as in the first order case, to energy concentration effects on hypersurfaces. In the two dimensional case we study the natural domain for the limiting energy and prove a compactness theorem in this class.
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Uncontrolled Keywords:||singular perturbation problems; energy concentration effects; eikonal equation; integral functional|
|Deposited On:||29 Nov 2010 16:27|
|Last Modified:||27 Nov 2013 19:25|
|Citations:||Web of Science®. Times Cited: 54|
Scopus®. Citation Count: 55
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