Renormalized solutions of nonlinear parabolic equations with general measure data |
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Authors: | Francesco Petitta |
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Institution: | (1) Dipartimento di Matematica, Università La Sapienza, Piazzale A. Moro 2, 00185 Rome, Italy |
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Abstract: | Let a bounded open set, N ≥ 2, and let p > 1; we prove existence of a renormalized solution for parabolic problems whose model iswhere T > 0 is a positive constant, is a measure with bounded variation over , and is the usual p-Laplacian.
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Keywords: | Nonlinear parabolic equations Parabolic capacity Measure data |
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