Boundedness of the Hessian of a biharmonic function in a convex domain

Details Boundedness of the Hessian of a biharmonic function in a convex domain Boundedness of the Hessian of a biharmonic function in a convex domain

2006-11-02

arxiv.org/abs/math/0611058v2

Mathematics

Analysis of PDEs

Scientific paper

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.

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