Fréchet differentiability of solution mappings for semilinear second order evolution equations

DOI10.1016/j.jmaa.2008.05.038zbMath1158.34042OpenAlexW4210283150MaRDI QIDQ936594

Hiroki Tanabe, Shin-ichi Nakagiri, Jun-hong Ha

Publication date: 19 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.05.038

zbMATH Keywords

second order evolution equationsFrechet differentiabilityGateaux differentiability

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Second-order nonlinear hyperbolic equations (35L70)

Related Items

Existence of solutions of abstract non-autonomous second order integro-differential equations, Existence of solutions of the nonautonomous abstract Cauchy problem of second order, Identification problem for damped sine-Gordon equation with point sources, Existence of solutions of non-autonomous second order functional differential equations with infinite delay, Damped Klein-Gordon equation with variable diffusion coefficient, Fréchet differentiability for a damped sine-Gordon equation

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• Optimal Control Problems for Nonlinear Hyperbolic Distributed Parameter Systems with Damping Terms