Continuity and Fréchet-differentiability of Nemytskij operators in Hölder spaces

DOI10.1007/BF01303062zbMath0765.47022MaRDI QIDQ1207683

S. Singh

Publication date: 12 May 1993

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178556

zbMATH Keywords

Hölder spacessuperposition operatorsNemytskij operatorscontinuously Fréchet- differentiable

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Banach spaces of continuous, differentiable or analytic functions (46E15) Continuity properties of mappings on manifolds (58C07)

Related Items (3)

Analysis of nonlinear poroviscoelastic flows with discontinuous porosities ^* ⋮ The autonomous Nemytskij operator in Hölder spaces ⋮ Higher order differentiability properties of the composition and of the inversion operator

Cites Work

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• An application of B. N. Sadovskij's fixed point principle to nonlinear singular equations
• Optimal control of a nonlinear singular integral equation arising in electrochemical machining
• On Fréchet-differentiability of Nemytskij operators acting in Hölder spaces
• On the differentiability of the superposition operator in hölder and Sobolev spaces
• Continuity and differentiability properties of the Nemitskii operator in Hölder spaces

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