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EXPLICIT SOLUTIONS OF THE EIGENVALUE PROBLEM -div (Du⁄Du) = u IN R2.
- Source :
-
SIAM Journal on Mathematical Analysis . 2004, Vol. 36 Issue 4, p1095-1129. 35p. 2 Diagrams. - Publication Year :
- 2004
-
Abstract
- Abstract. In this paper we compute explicit solutions of the eigenvalue problem -div(Du/|Du|) = u in R2, in particular explicit solutions whose truncatures are in Wloc1,1 (R2),and piecewise constant ones which are sums of characteristic functions of convex sets. The solutions of the above eigenvalue problem describe the asymptotic behavior of solutions of the minimizing total variation flow. As an application,we also construct explicit solutions of the denoising problem in image processing. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CONVEX functions
*IMAGE processing
*IMAGING systems
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 36
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 16195737