Joel Kilty

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L^{p}

Regularity Problem on Lipschitz Domains

2 citations · 3 across the 3 of their papers we have counts for

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math.AP2009

A Bilinear Estimate for Biharmonic Functions in Lipschitz Domains

Joel Kilty, Zhongwei Shen

We show that a bilinear estimate for biharmonic functions in a Lipschitz domain $Ω$ is equivalent to the solvability of the Dirichlet problem for the biharmonic equationin $Ω$ . As a…

math.AP2009★ 2 cited

The $L^{p}$ Regularity Problem on Lipschitz Domains

Joel Kilty, Zhongwei Shen

This paper contains two results on the $L^{p}$ regularity problem on Lipschitz domains. For second order elliptic systems and $1 < p < \infty$ , we prove that the solvability of the $L^{p}$ …

math.AP2009★ 1 cited

The $L^{p}$ Dirichlet Problem for the Stokes System on Lipschitz Domains

Joel Kilty

We study the $L^{p}$ Dirichlet problem for the Stokes system on Lipschitz domains. For any fixed $p > 2$ , we show that a reverse Hölder condition with exponent $p$ is sufficient for th…

A Bilinear Estimate for Biharmonic Functions in Lipschitz Domains

The Lp Regularity Problem on Lipschitz Domains

The Lp Dirichlet Problem for the Stokes System on Lipschitz Domains

The $L^{p}$ Regularity Problem on Lipschitz Domains

The $L^{p}$ Dirichlet Problem for the Stokes System on Lipschitz Domains