The inhomogeneous Dirichlet problem for \(\Delta^2\) in Lipschitz domains

From MaRDI portal
Publication:1273946

DOI10.1006/jfan.1998.3300zbMath0934.35038OpenAlexW2029083866MaRDI QIDQ1273946

Jill Pipher, Vilhelm Adolfsson

Publication date: 9 February 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1998.3300



Related Items

Spectral theory for perturbed Krein Laplacians in nonsmooth domains, Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey, Area integral estimates for higher order elliptic equations and systems, The inhomogeneous Dirichlet problem for the Stokes system in Lipschitz domains with unit normal close to VMO, The Dirichlet problem for higher order equations in composition form, A bilinear estimate for biharmonic functions in Lipschitz domains, The correction operator for the canonical interpolation operator of the Adini element and the lower bounds of eigenvalues, The maximum principle of Alexandrov for very weak solutions, Boundedness of the Hessian of a Biharmonic Function in a Convex Domain, Regularity of solutions to the polyharmonic equation in general domains, A \(C^0\)-weak Galerkin finite element method for the biharmonic equation, To the theory of the Dirichlet and Neumann problems for strongly elliptic systems in Lipschitz domains, Multilayer potentials for higher-order systems in rough domains, Optimal estimates for the inhomogeneous problem for the bi-Laplacian in three-dimensional Lipschitz domains, A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains, The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients, Weighted Sobolev Space Estimates for a Class of Singular Integral Operators, Trace and extension theorems relating Besov spaces to weighted averaged Sobolev spaces, Remarks on potential spaces and Besov spaces in a Lipschitz domain and on Whitney arrays on its boundary, The spectrum asymptotics for the Dirichlet problem in the case of the biharmonic operator in a domain with highly indented boundary, The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids, Dirichlet and Neumann boundary values of solutions to higher order elliptic equations, The Banach envelopes of Besov and Triebel-Lizorkin spaces and applications to partial differential equations, Potential theory on Lipschitz domains in Riemannian manifolds: Sobolev-Besov space results and the Poisson problem, Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains, Recent progress in elliptic equations and systems of arbitrary order with rough coefficients in Lipschitz domains



Cites Work