Advertisement
Published in:
2015 | OriginalPaper | Chapter
Domains of Fractional Powers of Matrix-valued Operators: A General Approach
Authors : Irena Lasiecka, Roberto Triggiani
Published in: Operator Semigroups Meet Complex Analysis, Harmonic Analysis and Mathematical Physics
Publisher: Springer International Publishing
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
We present a general approach for identifying explicitly domains of fractional powers of matrix-valued operators. Such strategy will be illustrated by revisiting the topic of domains of fractional powers of ‘strongly damped’ abstract elastic equations, and recovering in this case established results [10]. These were obtained instead by use of the classical Balakrishnan formula [3], [21, p. 69], which is based on knowledge of the resolvent operator. A virtue of the present approach – which results evident in the present illustrative case – is that it is more conceptual and less computationally intensive than the former approach. In particular, it is resolvent independent.