Regularity of solutions for a third order differential equation in Hilbert spaces

Abstract
We study regularity of mild and strong solutions of an abstract mathematical model of a flexible space structure under appropriate initial conditions. We apply our results showing qualitative properties of the trajectories in the case of the negative Laplacian operator. (C) 2011 Elsevier Inc. All rights reserved.
Description
Keywords
Third order Cauchy problems, Regularity of solutions, Mild and strong solutions, Energy functional
Citation