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math.AP2016★ 9 cited
Differential operators on domains with conical points: precise uniform regularity estimates
Constantin Bacuta, Hengguang Li, Victor Nistor
We study families of strongly elliptic, second order differential operators with singular coefficients on domains with conical points. We obtain uniform estimates on their inverses…
math.AP2004★ 7 cited
Regularity and well posedness for the Laplace operator on polyhedral domains
Constantin Bacuta, Victor Nistor, Ludmil Zikatanov
We announce a well-posedness result for the Laplace equation in weighted Sobolev spaces on polyhedral domains in $\RR^n$ with Dirichlet boundary conditions. The weight is the dista…