Abstract
In this paper, we deal with an inverse problem for the biharmonic equation to find an unknown boundary in the plane by using an additional information assumed on the remaining known part of the boundary. As a by-product, we can uniquely determine the solution everywhere in its domain of definition by supposing that the available data have Fourier expansions. The question of the existence and uniqueness of this inverse problem will be investigated, and we will conclude with some analytical examples to ensure the validity of this study.
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