Sunto
Si dimostra che, nelle ipotesi: fi∈ L2,λ(Q, ℝN), 0<λ< n+2, i=0,1,..., n, u∈L2,λ(Q,ℝN)∩H *0,1/2(λ)−T (Q,ℝN), Diu∈L2,λ(Q,∝N),i=1,2,...,n, la soluzione v: Q→ → ℝN del problema di Cauchy-Dirichlet:
ha derivate spaziali Div appartenenti a L2,λ(Q,ℝN) e che sussiste la maggiorazione:
.
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Lavoro eseguito con contributo finanziario del M.U.R.S.T. e nell'ambito del G.N.A.F.A. del C.N.R.
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Marino, M., Maugeri, A. 275-01275-01275-01Regularity of the spatial derivatives of the solutions to parabolic systems in divergence form. Annali di Matematica pura ed applicata 164, 275–298 (1993). https://doi.org/10.1007/BF01759324
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DOI: https://doi.org/10.1007/BF01759324