Parabolic De Giorgi classes of order p and the Harnack inequality |
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Authors: | Ugo Gianazza Vincenzo Vespri |
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Affiliation: | (1) Dipartimento di Matematica “F. Casorati”, Università di Pavia, via Ferrata 1, 27100 Pavia, Italy;(2) Dipartimento di Matematica “U. Dini”, Università di Firenze, viale Morgagni 67/A, 50134 Firenze, Italy |
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Abstract: | We define suitable homogeneous parabolic De Giorgi classes of order p and show that in this context a Harnack inequality holds with a time gap of order ρ p . Mathematics Subject Classification (2000) 0135B65, 35B4523Dedicated to G. DaPrato on the occasion of his 70th birthday. |
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