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Displaying similar documents to “Über Schnitte in topologischen Räumen”

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 ∑ i = 1 m ∂ u ∂ x i = ∂ u ∂ x m + 1 and B is a subset of R m × [ - ∞ , 0 ] satisfying { ( α x , α 2 t ) : ( x , t ) ∈ B , x ∈ R m , t ∈ R } ⊂ 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...