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<p>We prove weak uniqueness for admissible solutions of Itô’s equations with uniformly nondegenerate <i>a</i> which is almost in VMO and <i>b</i> in a Morrey class of functions with low integrability property. If <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10958_2025_7688_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(b\in L_{d}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>b</mi> <mo>∈</mo> <msub> <mi>L</mi> <mi>d</mi> </msub> </mrow> </math></EquationSource> </InlineEquation>, any solution is admissible.</p>

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ONCE AGAIN ABOUT WEAK UNIQUENESS FOR SDE WITH SINGULAR COEFFICIENTS

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • N.V. Krylov

摘要

We prove weak uniqueness for admissible solutions of Itô’s equations with uniformly nondegenerate a which is almost in VMO and b in a Morrey class of functions with low integrability property. If \(b\in L_{d}\) b ∈ L d , any solution is admissible.