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

2023/06/01 by Valli, Alberto · 1 citation
#35G15 #35J35 #35J40 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2306.00776

Abstract

In this note we devise and analyze a well-posed variational formulation of the Neumann boundary value problem associated to the biharmonic operator Δ². An alternative formulation as a system of two Poisson problems for the Laplace operator Δ is also derived.

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