Alberto Fiorenza

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We study the sequence u n , which is solution of −div(a(x, ∇u n)) + Φ (|u n |) u n = f n + g n in Ω an open bounded set of R N and u n = 0 on ∂Ω, when f n tends to a measure concentrated on a set of null Orlicz-capacity. We consider the relation between this capacity and the N-function Φ, and prove a non-existence result.
we extend the results. of [I-5] on the uniqueness of solutions of parabolic equations. Our results give also some regularity results which complete the existence results made in [6-81. @ 2001 Elsevier Science Ltd. All rights reserved. Keywords-Parabolic equations, Radon measures, Hodge decomposition, Uniqueness, Regularity.
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