On the relationship between the solutions of an abstract Euler-Poisson-Darboux equation and fractional powers of the operator coefficient in the equation

DOI10.1134/S0012266122050019zbMath1496.35156WikidataQ114075322 ScholiaQ114075322MaRDI QIDQ2169311

A. V. Glushak

Publication date: 2 September 2022

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

incomplete Cauchy problemabstract singular linear evolution equationfractional power of the operator coefficient

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Linear differential equations in abstract spaces (34G10) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items (1)

Dirichlet problem on the half-line for an abstract Euler-Poisson-Darboux equation containing powers of an unbounded operator

Cites Work

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• A Singular Abstract Cauchy Problem

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