On the existence and uniqueness of solutions for an incomplete second-order abstract Cauchy problem

DOI10.4064/sm155-2-7zbMath1054.34093OpenAlexW1991929865MaRDI QIDQ4790244

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Publication date: 28 January 2003

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm155-2-7

zbMATH Keywords

fractional powersdifferential operatorsincomplete second-order abstract Cauchy problemoperators with polynomially bounded resolventsemigroups of growth order~\(\alpha\)

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) General theory of partial differential operators (47F05) Linear differential equations in abstract spaces (34G10)

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