We prove that a planar piecewise affine homeomorphism φ defined on the boundary of the square can be extended to a piecewise affine homeomorphism h of the whole square, in such a way that ||h||W1,p is bounded from above by ||φ||W1,p for every p ≥ 1.
A planar Sobolev extension theorem for piecewise linear homeomorphisms
Radici E.
2016-01-01
Abstract
We prove that a planar piecewise affine homeomorphism φ defined on the boundary of the square can be extended to a piecewise affine homeomorphism h of the whole square, in such a way that ||h||W1,p is bounded from above by ||φ||W1,p for every p ≥ 1.File in questo prodotto:
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