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Creators/Authors contains: "Du, Xiumin"

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  1. ; (, Journal of Functional Analysis)
    Free, publicly-accessible full text available February 1, 2026
  2. ; ; ; (, AMS)
    Accepted Manuscript Full Text Available
  3. ; ; (, Transactions of the American Mathematical Society)
    Full Text Available 
  4. ; (, Illinois journal of mathematics)
    null (Ed.)
    Full Text Available 
  5. ; ; ; ; (, Mathematische Annalen)
    null (Ed.)
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  6. ; ; ; ; ; (, American Journal of Mathematics)
    Full Text Available 
  7. ; (, Annals of mathematics)
    Accepted Manuscript Full Text Available
  8. ; ; ; (, Forum of Mathematics, Sigma)
    We obtain partial improvement toward the pointwise convergence problem of Schrödinger solutions, in the general setting of fractal measure. In particular, we show that, for $$n\geqslant 3$$ , $$\lim _{t\rightarrow 0}e^{it\unicode[STIX]{x1D6E5}}f(x)$$ $=f(x)$ almost everywhere with respect to Lebesgue measure for all $$f\in H^{s}(\mathbb{R}^{n})$$ provided that $s>(n+1)/2(n+2)$ . The proof uses linear refined Strichartz estimates. We also prove a multilinear refined Strichartz using decoupling and multilinear Kakeya. 
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