In this study, the singular parabolic equation, (β(u))t = Δu is addressed. It is assumed that β can be approximated by a sequence of regular βn. Calling un a sequence of smooth solution corresponding to βn, uniform estimates are proven for the modulus of continuity of such regular solutions. By using Minty's Lemma, estimates are obtained for the modulus of continuity of u.
On the continuity of the solution of the singular equation $(beta(u))sb t=Delta u$ / Esposito, L.; Mingione, G.; Stroffolini, B.. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - STAMPA. - 36:8(1999), pp. 1037-1048. [10.1016/S0362-546X(97)00725-6]
On the continuity of the solution of the singular equation $(beta(u))sb t=Delta u$
B. STROFFOLINI
1999
Abstract
In this study, the singular parabolic equation, (β(u))t = Δu is addressed. It is assumed that β can be approximated by a sequence of regular βn. Calling un a sequence of smooth solution corresponding to βn, uniform estimates are proven for the modulus of continuity of such regular solutions. By using Minty's Lemma, estimates are obtained for the modulus of continuity of u.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
