Boundedness of the Hessian of a biharmonic function in a convex domain
Analysis of PDEs
2007-05-23 v2
Abstract
We consider the Dirichlet problem for the biharmonic equation on an arbitrary convex domain and prove that the second derivatives of the variational solution are bounded in all dimensions.
Keywords
Cite
@article{arxiv.math/0611058,
title = {Boundedness of the Hessian of a biharmonic function in a convex domain},
author = {Svitlana Mayboroda and Vladimir Maz'ya},
journal= {arXiv preprint arXiv:math/0611058},
year = {2007}
}