Integrated semigroups and related partial differential equations

DOI10.1006/jmaa.1997.5487zbMath0888.47023OpenAlexW1994796191MaRDI QIDQ1364834

Valentin Keyantuo

Publication date: 7 June 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5487

zbMATH Keywords

generatorFourier multipliersholomorphic semigroupexponentially bounded\(n\) times integrated cosine familyultradistributions semigroups

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Markov semigroups and applications to diffusion processes (47D07) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items

Integrated semigroups and \(C\)-semigroups and their applications ⋮ Extension problem and fractional operators: semigroups and wave equations ⋮ Perturbation theory for abstract Volterra equations ⋮ Sharp extensions for convoluted solutions of abstract Cauchy problems ⋮ Abstract differential operators generating fractional resolvent families ⋮ A subordination principle on Wright functions and regularized resolvent families ⋮ Convoluted \(C\)-cosine functions and semigroups. Relations with ultradistribution and hyperfunction sines ⋮ Ultradistribution semigroups ⋮ Structural theorems for ultradistribution semigroups

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