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Critical heat kernel estimates via Hardy-Sobolev inequalities

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 Added by Gerassimos Barbatis
 Publication date 2003
  fields
and research's language is English




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We obtain Sobolev inequalities for the Schrodinger operator -Delta-V, where V has critical behaviour V(x)=((N-2)/2)^2|x|^{-2} near the origin. We apply these inequalities to obtain pointwise estimates on the associated heat kernel, improving upon earlier results.



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