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Die Singularitätenfunktionen der gespannten Platte und der Kreiszylinderschale. (German) Zbl 0549.73041

A method is given to derive a fundamental solution of the operator \(Q(\partial)^ 2-(c\partial_ 1)^{2m}\) from fundamental solutions of the operator \(Q(\partial)\pm (c\partial_ 1)^ m\). As applications the singular solutions of the unidirectionally stretched plate and of the circular cylindrical shell under normal pressure are given.
Reviewer: W.Schnell

MSC:

74K20 Plates
74K15 Membranes
45P05 Integral operators
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References:

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