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Zeitschrift für Analysis und ihre Anwendungen

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Volume 13, Issue 3, 1994, pp. 425–441
DOI: 10.4171/ZAA/503

Published online: 1994-09-30

On Fundamental Solutions of the Heat Conduction Difference Operator

Klaus Gürlebeck[1] and A. Hommel[2]

(1) Bauhaus-Universität Weimar, Germany
(2) Technische Universität Chemnitz-Zwickau, Germany

is the aim of the paper to investigate fundamental solutions for the difference operator of heat conduction in the explicit and also in the implicit case. The existence of fundamental solutions will be shown in a constructive way. In both cases the convergence of the discrete fundamental solutions to the continuous fundamental solution will be investigated in the discrete $l_1$-space.

Keywords: Difference operators, heat conduction, fundamental solutions

Gürlebeck Klaus, Hommel A.: On Fundamental Solutions of the Heat Conduction Difference Operator. Z. Anal. Anwend. 13 (1994), 425-441. doi: 10.4171/ZAA/503