Abstract
This section is concerned with sufficiency of the frequency domain conditions derived in Proposition 11.5 for admissibility of evolutionary integral equations on the line as well as on the existence of Λ-kernels and their properties. The main results cover subordinated equations, hyperbolic problems in Hilbert spaces, and parabolic problems in arbitrary spaces. The discussion includes also perturbation problems and maximal regularity on the line for parabolic problems.
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© 1993 Springer Basel
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Prüss, J. (1993). Admissibility of Function Spaces. In: Evolutionary Integral Equations and Applications. Modern Birkhäuser Classics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0499-8_12
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DOI: https://doi.org/10.1007/978-3-0348-0499-8_12
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Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-0498-1
Online ISBN: 978-3-0348-0499-8
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