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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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Abstract

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
DDC:510 Mathematics
Uncontrolled Keywords:singular perturbation problems; energy concentration effects; eikonal equation; integral functional
Language:English
Date:1999
Deposited On:29 Nov 2010 17:27
Last Modified:27 Nov 2013 20:25
Publisher:Springer
ISSN:0944-2669
Publisher DOI:10.1007/s005260050144
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1731470
Citations:Web of Science®. Times Cited: 53
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