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Existence of $C^alpha$ solutions to integro-PDEs

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 نشر من قبل Chenchen Mou
 تاريخ النشر 2017
  مجال البحث
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 تأليف Chenchen Mou




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This paper is concerned with existence of a $C^{alpha}$ viscosity solution of a second order non-translation invariant integro-PDE. We first obtain a weak Harnack inequality for such integro-PDE. We then use the weak Harnack inequality to prove Holder regularity and existence of solutions of the integro-PDEs.



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