Title | Line energies for gradient vector fields in the plane |
Publication Type | Journal Article |
Year of Publication | 1999 |
Authors | Ambrosio L., De Lellis C., Mantegazza C. |
Journal | Calculus of Variations and Partial Differential Equations |
Volume | 9 |
Pagination | 327–255 |
Publisher | Springer |
Type of Article | phase |
ISSN | 0944-2669 |
Keywords | eikonal equation, energy concentration effects, integral functional, singular perturbation problems |
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. |
Notes | Calc. Var. Partial Differential Equations 9 (1999), no. 4, 327–255. |
URL | http://www.springerlink.com/content/yp9fhbm0xjgfghah/ |
DOI | 10.1007/s005260050144 |
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