Priola, Enrico and Zambotti, Lorenzo:
New optimal regularity results for infinite-dimensional elliptic equations
Bollettino dell'Unione Matematica Italiana Serie 8 3-B (2000), fasc. n.2, p. 411-429, Unione Matematica Italiana (English)
pdf (302 Kb), djvu (242 Kb). | MR1769994 | Zbl 0959.35076
Sunto
In questo articolo si ottengono stime di Schauder di tipo nuovo per equazioni ellittiche infinito-dimensionali del secondo ordine con coefficienti Hölderiani a valori nello spazio degli operatori Hilbert-Schmidt. In particolare si mostra che la derivata seconda delle soluzioni è Hilbert-Schmidt.
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Con il contributo del Ministero per i Beni e le Attività Culturali