Fréchet differentiability of solution mappings for semilinear second order evolution equations (Q936594)

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scientific article; zbMATH DE number 5313890
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Fréchet differentiability of solution mappings for semilinear second order evolution equations
scientific article; zbMATH DE number 5313890

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    Fréchet differentiability of solution mappings for semilinear second order evolution equations (English)
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    19 August 2008
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    The authors discuss the Fréchet and Gâteaux differentiability of the solution map associated with a semilinear second order evolution equation in a Hilbert space. An application of the abstract theory to a semilinear strongly damped wave equation is included.
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    second order evolution equations
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    Frechet differentiability
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    Gateaux differentiability
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