A well-posed variational formulation of the Neumann boundary value problem for the biharmonic operator

Alberto Valli

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arXiv · 2306.00776

A well-posed variational formulation of the Neumann boundary value problem for the biharmonic operator

Alberto Valli

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Abstract

In this note we devise and analyze a well-posed variational formulation of the Neumann boundary value problem associated to the biharmonic operator $\Delta^2$. An alternative formulation as a system of two Poisson problems for the Laplace operator $\Delta$ is also derived.

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Alberto Valli. 2023-06-01. A well-posed variational formulation of the Neumann boundary value problem for the biharmonic operator. https://arxiv.org/abs/2306.00776

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