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Smooth homeomorphic approximation of piecewise affine homeomorphisms

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 نشر من قبل Daniel Campbell PhD
 تاريخ النشر 2021
  مجال البحث
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Given any $f$ a locally finitely piecewise affine homeomorphism of $Omega subset rn$ onto $Delta subset rn$ in $W^{1,p}$, $1leq p < infty$ and any $epsilon >0$ we construct a smooth injective map $tilde{f}$ such that $|f-tilde{f}|_{W^{1,p}(Omega,rn)} < epsilon$.



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