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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/



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