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5th International ISAAC Congress
July 25-30, 2005
Department of Mathematics and Informatics, University of Catania
Catania, Sicily, Italy

Organizers
International ISAAC Board, Local organizing committee: F. Nicolosi (chairman), S. Bonafede, V. Cataldo, P. Cianci, G.R. Cirmi, S. D'Asero, G. Fiorito, L. Giusti, S. Leonardi, P.E. Ricci

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A Characterization of the Calderón Projector for the Biharmonic Equation
by
George C. Hsiao
Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716, USA

In this lecture, we present some recent results on a new characterization of the Calderón projector for the biharmonic equation and its application of boundary integral equation methods to the fundamental problems of the biharmonic equation. Specifically, we will consider the solutions of the Dirichlet, Neumann and mixed problems by the integral equations of the first kind. We are particularly interested in the direct integral formulations of problems. As will be seen, a simplified and systematic notation may be introduced for the corresponding boundary integral operators in the associated Calderón projector so that their properties can be identified as easily as those in the case for the Laplacian. Emphasis will be placed upon the variational formulations and the mathematical foundations of the corresponding integral equation methods.

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Date received: May 26, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqw-98.