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Regularity and comparison results in grand Sobolev spaces for parabolic equations with measure data |
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| Authors: | A Fiorenza A Mercaldo J M Rakotoson |
| Institution: | Dipartimento di Costruzioni e Metodi Matematici in Architettura Universitá di Napoli “Federico II”, via Monteoliveto, 3, I-80134 Napoli, Italy Dipartimento di Matematica e Applicazioni “R. Caccioppoli” Universitá di Napoli “Federico II”, Complesso Monte S. Angelo via Cintia, I-80126 Napoli, Italy Laboratoire d'Applications des Mathématiques Teleport 2 Département de Mathématiques, Université de Poitiers, B.P. 30179 86962 Futuroscope Chasseneuil cedex, France |
| Abstract: | We extend the results of 1–5] on the uniqueness of solutions of parabolic equations. Our results give also some regularity results which complete the existence results made in 6–8]. |
| Keywords: | Parabolic equations Radon measures Hodge decomposition Uniqueness Regularity |
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