Two-scale convergence with respect to measures in continuum mechanics

Vala, Jiří

Displaying similar documents to “Two-scale convergence with respect to measures in continuum mechanics”

Potential theory of quasiminimizers.

Kinnunen, Juha, Martio, Olli (2003)

Annales Academiae Scientiarum Fennicae. Mathematica

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Generalizations of Hölder's inequality.

Cheung, Wing-Sum (2001)

International Journal of Mathematics and Mathematical Sciences

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A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations

Jiří Vala (1999)

Applications of Mathematics

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The aim of this paper is to demonstrate how the variational equations from can be formulated and solved in some abstract Banach spaces without any a priori construction of special linearization schemes. This should be useful e.g. in the analysis of heat conduction problems and modelling of flow in porous media.

Dichotomies for $𝐂_{0} (X)$ and $𝐂_{b} (X)$ spaces

Szymon Głąb, Filip Strobin (2013)

Czechoslovak Mathematical Journal

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Jachymski showed that the set $\{(x, y) \in 𝐜_{0} \times 𝐜_{0} : {(\sum_{i = 1}^{n} α (i) x (i) y (i))}_{n = 1}^{\infty} is bounded\}$ is either a meager subset of $𝐜_{0} \times 𝐜_{0}$ or is equal to $𝐜_{0} \times 𝐜_{0}$ . In the paper we generalize this result by considering more general spaces than $𝐜_{0}$ , namely $𝐂_{0} (X)$ , the space of all continuous functions which vanish at infinity, and $𝐂_{b} (X)$ , the space of all continuous bounded functions. Moreover, we replace the meagerness by $σ$ -porosity.

Displaying similar documents to “Two-scale convergence with respect to measures in continuum mechanics”

Potential theory of quasiminimizers.

Generalizations of Hölder's inequality.

A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations

Dichotomies for 𝐂 0 ( X ) and 𝐂 b ( X ) spaces

Dichotomies for $𝐂_{0} (X)$ and $𝐂_{b} (X)$ spaces