Characterization of Domains of Fractional Powers of Certain Operators Arising in Elastic Systems, and Applications
Ijping Chen · 2016
with X a Hilbert space, where A, the elastic operator, and B, the damping operator, are closed operators in X, with dense domains Q(A) and 9(B), respectively. Moreover, A is throughout assumed to be self-adjoint and strictly positive. Stimulated by two conjectures raised in [CRl] (the most general of which referred to the case LX = f described below), we have already studied the operators &” and SB,, defined respectively by