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Pathwise uniqueness for stochastic heat equations with Holder continuous coefficients: the white noise case

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 نشر من قبل Leonid Mytnik
 تاريخ النشر 2008
  مجال البحث
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 تأليف Leonid Mytnik




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We prove pathwise uniqueness for solutions of parabolic stochastic pdes with multiplicative white noise if the coefficient is Holder continuous of index $gamma>3/4$. The method of proof is an infinite-dimensional version of the Yamada-Watanabe argument for ordinary stochastic differential equations.



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