Layer Potentials

Gavin R. Thomson () and Christian Constanda ()
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Gavin R. Thomson: A.C.C.A.
Christian Constanda: The University of Tulsa, Department of Mathematical and Computer Sciences

Chapter Chapter 2 in Stationary Oscillations of Elastic Plates, 2011, pp 7-22 from Springer

Abstract: Abstract We solve boundary value problems associated with system (1.10) (or, rather, its homogeneous version) by means of potential-type functions with a suitably chosen kernel. In this chapter we construct a matrix of fundamental solutions for the operator $${\rm A}^\omega (\partial _x ),$$ which we can then use to define generalized single-layer and doublelayer plate potentials. The method used is analogous to the one employed in [14] to construct the corresponding matrix for the operator $${\rm A}(\partial _x )$$ defined by (1.11), which occurs in the study of the equilibrium bending of plates.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8241-5_2

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DOI: 10.1007/978-0-8176-8241-5_2

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