|Publisher DOI:||10.1515/fca-2020-0055||arXiv ID:||1905.06779v3||Title:||On the harmonic extension approach to fractional powers in Banach spaces||Language:||English||Authors:||Meichsner, Jan
|Keywords:||And Phrases: fractional powers; Dirichlet-to-Neumann operator; Non-negative operator; Mathematics - Functional Analysis; Mathematics - Functional Analysis; 47A05, 47D06, 47A60||Issue Date:||1-Aug-2020||Source:||Fractional calculus and applied analysis 23 (4): 1054-1089 (2020-08-01)||Abstract (english):||
We show that fractional powers of general sectorial operators on Banach spaces can be obtained by the harmonic extension approach. Moreover, for the corresponding second order ordinary differential equation with incomplete data describing the harmonic extension we prove existence and uniqueness of a bounded solution (i.e. of the harmonic extension).
|URI:||http://hdl.handle.net/11420/7663||ISSN:||1311-0454||Journal:||Fractional calculus and applied analysis||Institute:||Mathematik E-10||Document Type:||Article|
|Appears in Collections:||Publications without fulltext|
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