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arXiv · 1606.02961

Boundary homogenization for a triharmonic intermediate problem

José Arrieta·Francesco Ferraresso·Pier Domenico Lamberti
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Abstract

We consider the triharmonic operator subject to homogeneous boundary conditions of intermediate type on a bounded domain of the N-dimensional Euclidean space. We study its spectral behaviour when the boundary of the domain undergoes a perturbation of oscillatory type. We identify the appropriate limit problems which depend on whether the strength of the oscillation is above or below a critical threshold. We analyse in detail the critical case which provides a typical homogenization problem leading to a strange boundary term in the limit problem.

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José Arrieta, Francesco Ferraresso, Pier Domenico Lamberti. 2016-06-10. Boundary homogenization for a triharmonic intermediate problem. https://arxiv.org/abs/1606.02961

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