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$L_infty$-estimates for the torsion function and $L_infty$-growth of semigroups satisfying Gaussian bounds

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 نشر من قبل Hendrik Vogt
 تاريخ النشر 2016
  مجال البحث
والبحث باللغة English
 تأليف Hendrik Vogt




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We investigate selfadjoint $C_0$-semigroups on Euclidean domains satisfying Gaussian upper bounds. Major examples are semigroups generated by second order uniformly elliptic operators with Kato potentials and magnetic fields. We study the long time behaviour of the $L_infty$ operator norm of the semigroup. As an application we prove a new $L_infty$-bound for the torsion function of a Euclidean domain that is close to optimal.



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