Fractional powers of non-negative operators in Banach spaces via the Dirichlet-to-Neumann operator

2017/04/06 by Jan Meichsner, Christian Seifert, Meichsner, Jan +1 · 1 citation
Mathematics · #47A60 #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Differential Equations Analysis #Numerical methods in inverse problems #Primary 47A05 #Secondary 47D06

paper · pdf · doi:10.48550/arxiv.1704.01876

openalex publication_date 2017/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider fractional powers of non-densely defined non-negative operators in Banach spaces defined by means of the Balakrishnan operator. Under mild assumptions on the operator we show that the fractional powers can partially be obtained by a generalised Dirichlet-to-Neumann operator for a Bessel-type differential equation.

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