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An extension of H{o}rmanders hypoellipticity theorem

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 نشر من قبل David Herzog
 تاريخ النشر 2013
  مجال البحث
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Motivated by applications to stochastic differential equations, an extension of H{o}rmanders hypoellipticity theorem is proved for second-order degenerate elliptic operators with non-smooth coefficients. The main results are established using point-wise Bessel kernel estimates and a weighted Sobolev inequality of Stein and Weiss. Of particular interest is that our results apply to operators with quite general first-order terms.



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