An extension of the pairing theory between divergence-measure fields and BV functions |
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| Authors: | Graziano Crasta Virginia De Cicco |
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| Institution: | 1. Dipartimento di Matematica “G. Castelnuovo”, Univ. di Roma “La Sapienza”, P.le A. Moro 2, I-00185 Roma, Italy;2. Dipartimento di Scienze di Base e Applicate per l''Ingegneria, Univ. di Roma “La Sapienza”, Via A. Scarpa 10, I-00185 Roma, Italy |
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| Abstract: | In this paper we introduce a nonlinear version of the notion of Anzellotti's pairing between divergence-measure vector fields and functions of bounded variation, motivated by possible applications to evolutionary quasilinear problems. As a consequence of our analysis, we prove a generalized Gauss–Green formula. |
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| Keywords: | 28B05 46G10 26B30 Anzellotti's pairing Divergence-measure fields Gauss–Green formula |
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