Boundary Value Problems
Volume 2007 (2007), Article ID 42548, 5 pages
doi:10.1155/2007/42548

Harnack's estimates: positivity and local behavior of degenerate and singular parabolic equations

Emmanuele DiBenedetto1 , Ugo Gianazza2 , Mikhail Safonov3 , José Miguel Urbano4 and Vincenzo Vespri5

1Department of Mathematics, Vanderbilt University, 1326 Stevenson Center, Nashville 37240, TN, USA
2Dipartimento di Matematica “F. Casorati”, Università di Pavia, Via Ferrata 1, Pavia 27100, Italy
3School of Mathematics, University of Minnesota, 231 Vincent Hall, Minneapolis 55455, MN, USA
4Departamento de Matemática, Universidade de Coimbra, Coimbra 3001-454, Portugal
5Dipartimento di Matematica “U. Dini”, Università di Firenze, Viale Morgagni 67/A, Firenze 50134, Italy

Abstract

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