Title

Optimal estimates for the inhomogeneous problem for the bi-Laplacian in three-dimensional Lipschitz domains

Abstract

We establish the well-posedness of the inhomogeneous Dirichlet problem for Δ2 in arbitrary Lipschitz domains in R3, with data from Besov-Triebel-Lizorkin spaces, for the optimal range of indices. The main novel contribution is to allow for certain nonlocally convex spaces to be considered, and to establish integral representations for the solution.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1007/s10958-010-0187-4

Publication Date

2010

Recommended Citation

Mitrea, Irina, Marius Mitrea, and Matthew Wright. "Optimal estimates for the inhomogeneous problem for the bi-Laplacian in three-dimensional Lipschitz domains." Journal of Mathematical Sciences 172, no. 1 (2011): 24-134.

Journal Title

Journal of Mathematical Sciences

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