Abstract
In this paper we study a system of biharmonic equations coupled by the boundary conditions. These boundary conditions contain some combinations of the values, div, curl, and grad of the solution. It is the aim of the paper also to demonstrate the application of Clifford analytic methods developed for second order elliptic problems to the solution of higher order boundary value problems. The results on a special boundary value problem for the biharmonic equation will be used for the investigation of some first order systems of partial differential equations. We study a theoretical problem connected with the ̄∂-problem and the solution of a Beltrami system by a fixed-point iteration.
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Gürlebeck, K. (1998). On Some Applications of the Biharmonic Equation. In: Dietrich, V., Habetha, K., Jank, G. (eds) Clifford Algebras and Their Application in Mathematical Physics. Fundamental Theories of Physics, vol 94. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5036-1_10
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DOI: https://doi.org/10.1007/978-94-011-5036-1_10
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