A Bilinear Estimate for Biharmonic Functions in Lipschitz Domains - Mathematics > Analysis of PDEs

Abstract: We show that a bilinear estimate for biharmonic functions in a Lipschitzdomain $\Omega$is equivalent to the solvability of the Dirichlet problem forthe biharmonic equationin $\Omega$. As a result, we prove that for any givenbounded Lipschitz domain $\Omega$ in $n{d}$ and \$1

Author: Joel Kilty, Zhongwei Shen

Source: https://arxiv.org/