In this paper we prove some new results concerning a complete abstract second-order differential equation with general Robin boundary conditions. The study is developped in UMD spaces and uses the celebrated Dore-Venni Theorem. We prove existence, uniqueness and maximal regularity of the strict solution. This work completes previous one [3] by authors; see also [11].
Complete abstract differential equations of elliptic type with general Robin boundary conditions, in UMD spaces / M. Cheggag; A. Favini; R. Labbas; S. Maingot; A. Medeghri. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - STAMPA. - 4:3(2011), pp. 523-538. [10.3934/dcdss.2011.4.523]
Complete abstract differential equations of elliptic type with general Robin boundary conditions, in UMD spaces
FAVINI, ANGELO;
2011
Abstract
In this paper we prove some new results concerning a complete abstract second-order differential equation with general Robin boundary conditions. The study is developped in UMD spaces and uses the celebrated Dore-Venni Theorem. We prove existence, uniqueness and maximal regularity of the strict solution. This work completes previous one [3] by authors; see also [11].I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
