Weighted Lp estimates of solutions to boundary value problems for second order elliptic systems in polyhedral domains

By Vladimir G. Maz'ya, J. Rossmann. 2003

60 citations recorded by the source corpus.

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Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I: A Priori Estimates (2005, background): “V. Kozlov, V. Maz′ya, and J. Rossmann (1997).”
Well-posedness and Regularity for the Elasticity Equation with Mixed Boundary Conditions on Polyhedral Domains and Domains with Cracks (2010, background): “The paper by Mazya and Rossmann [60] deals with coercive elliptic systems in curvilinear polyhedral domains without cracks and obtains Fredholm results under the assumption that certain other operators are invertible.”
Interface and mixed boundary value problems on $n$-dimensional polyhedral domains (2010, methodology): “See the papers of Babuška and Guo [5], Mazya and Rossmann [54], and Verchota and Vogel [74, 75] for related definitions.”