Beitrag zur physikalisch-chemischen Untersuchung von Amidoximen

Jiří Mollin; František Kašpárek

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Fegen und Dünnheit mit Anwendungen auf die Laplace-und Wärmeleitungsgleichung

Wolfhard Hansen (1971)

Annales de l'institut Fourier

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Several properties of balayage of measures in harmonic spaces are studied. In particular, characterisations of thinness of subsets are given. For the heat equation the following result is obtained: suppose that $E = R^{m + 1}$ is given the presheaf of solutions of $\sum_{i = 1}^{m} \frac{\partial u}{\partial x_{i}} = \frac{\partial u}{\partial x_{m + 1}}$ and $B$ is a subset of $R^{m} \times [- \infty, 0]$ satisfying ${(α x, α^{2} t) : (x, t) \in B, x \in R^{m}, t \in R} \subset B$ for $α > 0$ arbitrarily small. Then $B$ is thin at 0 if and only if $B$ is polar. Similar result for the Laplace equation. At last the reduced of measures is defined...