A planar Sobolev extension theorem for piecewise linear homeomorphisms
A planar Sobolev extension theorem for piecewise linear homeomorphisms
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分段线性同胚的平面Sobolev扩展定理
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
E. Radici
中科院分区：
文献类型：
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作者：
E. Radici
我们证明了定义在正方形边界上的平面分段线性同胚φ可以推广到整个正方形的同胚h，使得对每个p ≥ 1，h <$W 1，p由<$φ <$W 1，p从上有界.
We prove that a planar piecewise linear homeomorphism φ defined on the boundary of the square can be extended to a homeomorphism h of the whole square, in such a way that ‖h‖W 1,p is bounded from above by ‖φ‖W 1,p for every p ≥ 1.