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Zeitschrift für Analysis und ihre Anwendungen


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Volume 1, Issue 5, 1982, pp. 67–92
DOI: 10.4171/ZAA/36

Published online: 1982-10-31

Über ein Bimetallproblem in der Ebene

Lothar Jentsch[1]

(1) Technische Universität Chemnitz-Zwickau, Germany

Existence and uniqueness theorems for boundary-contact-problems of plane elastostatics and thermoelastostatics are given in a proper class of regularity, when the thermoelastic constants are piecewise constant and discontinuous along a straight line. The problem is reduced with the aid of the contact-tensor of elastostatics for two composite half-planes to a system of integral equations with fixed singularities. From the theory of Duduchava it follows, that the integral operator is Noetherian in the space $L_2(S)$ ($S$ boundary of the disc) with index zero.

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Jentsch Lothar: Über ein Bimetallproblem in der Ebene. Z. Anal. Anwend. 1 (1982), 67-92. doi: 10.4171/ZAA/36