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Uniformly continuous set-valued composition operators in the space of total φ-bidimensional variation in the sense of Riesz [PDF]
Opuscula Mathematica, 2010 In this paper we prove that if a Nemytskij composition operator, generated by a function of three variables in which the third variable is a function one, maps a suitable large subset of the space of functions of bounded total \(\varphi\)-bidimensional ...
Wadie Aziz +3 more
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Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces
Open Mathematics, 2012 Matkowski Janusz, Wróbel Małgorzata
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Schramm spaces and composition operators
Journal of Applied Mathematics and Computational Mechanics, 2023 . We give some properties of Schramm functions; among others, we prove that the family of all continuous piecewise linear functions defined on a real interval I is contained in the space Φ BV ( I ) of functions of bounded variation in the sense of ...
Małgorzata Wróbel
semanticscholar +1 more source
Mathematical Methods in the Applied Sciences, Volume 44, Issue 17, Page 12860-12880, 30 November 2021., 2021 In this paper, we investigate the numerical approximation of stochastic convection–reaction–diffusion equations using two explicit exponential integrators. The stochastic partial differential equation (SPDE) is driven by additive Wiener process. The approximation in space is done via a combination of the standard finite element method and the Galerkin ...
Antoine Tambue, Jean Daniel Mukam
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Operators with memory in Schramm spaces
Journal of Applied Mathematics and Computational Mechanics, 2023 . We show that every operator with memory acting between Banach spaces C Φ BV ( I ) of continuous functions of bounded variation in the sense of Schramm defined on a compact interval I of a real axis, is a Nemytskij composition operator with the ...
Małgorzata Wróbel
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The Bi-dimensional space of Korenblum and composition operator
, 2015 In this paper we present the concept of total κ-variation in the sense of Hardy-Vitali-Korenblum for a real function defined in the rectangle Iab⊂R2. We show that the space κBV(Iab, R) of real functions of two variables with finite total κ-variation is a
J. A. Guerrero, N. Merentes, J. Sánchez
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Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ‐Variation
Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014 We give a necessary and sufficient condition on a function h:R→R under which the nonlinear composition operator H, associated with the function h, Hu(t) = h(u(t)), acts in the space κΦBV[a, b] and satisfies a local Lipschitz condition.
Odalis Mejía +3 more
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Application of Spectral Methods to Boundary Value Problems for Differential Equations
International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011 We try to generalize the concept of a spectrum in the nonlinear case starting from its splitting into several subspectra, not necessarily disjoint, following the classical decomposition of the spectrum. To obtain an extension of spectrum with rich properties, we replace the identity map by a nonlinear operator J acting between two Banach spaces X and Y,
Ene Petronela, G. Mantica
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ON NEMYTSKIJ OPERATOR OF SUBSTITUTION IN THE C1 SPACE OF SET-VALUED FUNCTIONS
, 2008 We consider the Nemytskij operator, i.e., the operator of substitution, defined by ( Ν φ ) ( χ ) := G (χ, φ(χ)), where G is a given multifunction. It is shown that Ν maps C(7, C), the space of all continuously differentiable functions on the interval I ...
Jakub Jan Ludew
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International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 3, Page 401-417, 2005., 2005 We consider quasilinear elliptic variational‐hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub‐ and supersolutions, on the basis of which we then develop the sub‐supersolution method for variational‐hemivariational ...
S. Carl, Vy K. Le, D. Motreanu
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