Fréchet differentiability of parameter-dependent analytic semigroups

DOI10.1006/jmaa.1998.6249zbMath0961.47024OpenAlexW2059989619MaRDI QIDQ1284514

Steven M. Seubert, J. Gordon Wade

Publication date: 21 May 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6249

zbMATH Keywords

Fréchet derivativecollection of analytic semigroupsdependence on a vector-valued parameternorm-convergent contour integral

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Derivatives of functions in infinite-dimensional spaces (46G05)

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Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Estimation techniques for distributed parameter systems
• Weak tau approximations for distributed parameter systems in inverse problems^∗
• On Morse theory and stationary states for nonlinear wave equations
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