Differentiability of \(C_{0}\)-semigroups with respect to parameters and its application.

DOI10.1016/S0022-247X(02)00440-7zbMath1053.47038OpenAlexW2054654350MaRDI QIDQ1874577

Wenhuan Yu, Fengling Zhang, Weisong Xie

Publication date: 25 May 2003

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

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00440-7

zbMATH Keywords

Fréchet differentiable\(C_0\)-semigroupinfinitesimal generatorGâteaux differentiablecontinuity in the generalized sense

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Nonlinear differential equations in abstract spaces (34G20)

Related Items

Differentiability of a class of semi-linear hyperbolic systems with respect to a parameter, Averaged controllability of parameter dependent conservative semigroups

Cites Work

• Semigroups of linear operators and applications to partial differential equations
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