Abstract
In the applications to the previous chapter, in particular in Sec. 1.5, we discussed the existence, uniqueness and explicit representation of the semi-group solution of the diffusion as well as Laplace equation for the circle. The main concern of the applications to the general theory to be studied in the present chapter is the behavior of the solutions in question in their dependence upon the given initial or boundary conditions.
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© 1967 Springer-Verlag, Berlin · Heidelberg
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Butzer, P.P., Berens, H. (1967). Approximation Theorems for Semi-Groups of Operators. In: Semi-Groups of Operators and Approximation. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, vol 145. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46066-1_2
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DOI: https://doi.org/10.1007/978-3-642-46066-1_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-46068-5
Online ISBN: 978-3-642-46066-1
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