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Uniformly bounded composition operators in the banach space of bounded (p, k)-variation in the sense of Riesz-Popoviciu

Open Mathematics, 2013
Armao Francy, Głazowska Dorota, Rivas Sergio, Rojas Jessica   +3 more
doaj   +1 more source

Finite Element Approximation of Lyapunov Equations Related to Parabolic Stochastic PDEs. [PDF]

Appl Math Optim
Andersson A, Lang A, Petersson A, Schroer L.   +3 more
europepmc   +1 more source

Composition Operators on Function Spaces with Fractional Order of Smoothness (Harmonic Analysis and Nonlinear Partial Differential Equations) [PDF]

, 2011
Bourdaud, Gerard, Sickel, Winfried
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Upper semicontinuity of Nemytskij operators

Annali di Matematica Pura ed Applicata, 1991
The authors give a growth condition on a multivalued nonlinear function \(G=G(\lambda,u)\), under which the upper semicontinuity of the function \(G(\lambda,\cdot)\) implies the upper semicontinuity of the multivalued Nemytskij operator generated by \(G\) between two Lebesgue-Bochner spaces. Similar results have been given by the reviewer, \textit{H. T.
CELLINA, ARRIGO, Fryszkowski, A, Rzezuchowski, T.   +2 more
openaire   +4 more sources

The autonomous Nemytskij operator in Hölder spaces

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author gives a survey on acting, continuity, Lipschitz, and differentiability conditions of the Nemytskij operator \(Fx= f\circ x\), in terms of the generating nonlinear function \(f\), in the Hölder spaces \(H^\alpha[a, b]\) and \(H^{k+\alpha}[a, b]\) (\(k\in\mathbb{N ...
Goebel, Manfred, Sachweh, Frank
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On Nemytskij operator in the space of absolutely continuous set-valued functions

Journal of Applied Analysis, 2011
Summary: We consider the Nemytskij operator, defined by \((N\phi)(x) := G(x, \phi(x))\), where \(G\) is a given set-valued function. It is shown that if \(N\) maps \(AC(I, C)\), the space of all absolutely continuous functions on the interval \(I := [0, 1]\) with values in a cone \(C\) in a reflexive Banach space, into \(AC(I, \mathcal K)\), the space ...
Jakub Jan Ludew
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Hyperbolic equations, function spaces with exponential weights and Nemytskij operators

Annali di Matematica Pura ed Applicata, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bourdaud, Gérard, Reissig, M., Sickel, Winfried   +2 more
openaire   +2 more sources

Chapter 5 Nemytskij operators in spaces of Besov-Triebel-Lizorkin type

1996
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Quasilinear Elliptic Systems of Second Order in Domains with Corners and Edges: Nemytskij Operator, Local Existence and Asymptotic Behaviour

Zeitschrift für Analysis und ihre Anwendungen, 2002
We consider systems of quasilinear partial differential equations of second order in two- and three-dimensional domains with corners and edges. The analysis is performed in weighted Sobolev spaces with attached asymptotics generated by the asymptotic behaviour of the solutions of the corresponding linearized problems near boundary singularities ...
Ali Mehmeti, F., Bochniak, M., Nicaise, S., Sändig, A.-M.   +3 more
openaire   +1 more source

On NEMYTSKIJ Operators in L_p‐Spaces of Abstract Functions

Mathematische Nachrichten, 1992
AbstractThis paper is concerned with continuity and differentiability of NEMYTSKIJ operators acting between spaces of summable abstract functions. In a first part, necessary and sufficient conditions for continuity are collected. Then main emphasis is given to sufficient conditions for differentiability in the sense of FRÉCHET and GÂTEAUX.
Goldberg, H., Kampowsky, W., Tröltzsch, F.   +2 more
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