In this paper we compute explicit solutions of the eigenvalue problem - div(Du/vertical bar Du vertical bar) = u in R-2, in particular explicit solutions whose truncatures are in W-loc(1,1) (R-2), 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.
Bellettini, G., Caselles, V., & Novaga, M. (2005). Explicit solutions of the eigenvalue problem -div((Du)/(vertical bar Du vertical bar)) = u in R-2. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 36(4), 1095-1129.
Tipologia: | Articolo su rivista |
Citazione: | Bellettini, G., Caselles, V., & Novaga, M. (2005). Explicit solutions of the eigenvalue problem -div((Du)/(vertical bar Du vertical bar)) = u in R-2. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 36(4), 1095-1129. |
Altre informazioni significative: | 35 |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1137/S0036141003430007 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2005 |
Titolo: | Explicit solutions of the eigenvalue problem -div((Du)/(vertical bar Du vertical bar)) = u in R-2 |
Autori: | |
Autori: | Bellettini, G; Caselles, V; Novaga, M |
Appare nelle tipologie: | 01 - Articolo su rivista |