On Some Consequences of the Solvability of the Caffarelli–Silvestre Extension Problem

Publikationstyp
Conference Paper
Date Issued
2021
Sprache
English
Author(s)
Meichsner, Jan  
Seifert, Christian  orcid-logo
Institut
Mathematik E-10  
TORE-URI
http://hdl.handle.net/11420/9356
First published in
Operator theory: Advances and Applications  
Number in series
282
Start Page
441
End Page
453
Citation
in: Operator Theory: Advances and Applications 282: 441-453 (2021)
Contribution to Conference
International Workshop on Operator Theory and its Applications, 2021  
Publisher DOI
10.1007/978-3-030-51945-2_22
Scopus ID
2-s2.0-85103667752
Publisher
Birkhäuser
We consider the Caffarelli–Silvestre extension problem, i.e., a Bessel type ODE in a Banach space X with a closed and typically unbounded operator A as right-hand side and point out a couple of consequences arising from the assumption of the well-posedness of the problem. In the end a conjecture is stated concerning the implications of analyticity of the solution of the extension problem.
Subjects
Dirichlet-to-Neumann operator
Fractional powers
Non-negative operator