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Creators/Authors contains: "Xu, Longjuan"

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  1. ; ; (, Transactions of the American Mathematical Society)
    In this paper, we consider higher regularity of a weak solution ( u , p ) (\mathbf {u},p) to stationary Stokes systems with variable coefficients. Under the assumptions that coefficients and data are piecewise C s , δ<#comment/> C^{s,\delta } in a bounded domain consisting of a finite number of subdomains with interfacial boundaries in C s + 1 , μ<#comment/> C^{s+1,\mu } , where s s is a positive integer, δ<#comment/> ∈<#comment/> ( 0 , 1 ) \delta \in (0,1) , and μ<#comment/> ∈<#comment/> ( 0 , 1 ] \mu \in (0,1] , we show that D u D\mathbf {u} and p p are piecewise C s , δ<#comment/> μ<#comment/> C^{s,\delta _{\mu }} , where δ<#comment/> μ<#comment/> = min { 1 2 , μ<#comment/> , δ<#comment/> } \delta _{\mu }=\min \big \{\frac {1}{2},\mu ,\delta \big \} . Our result is new even in the 2D case with piecewise constant coefficients. 
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  2. ; ; (, SIAM Journal on Mathematical Analysis)
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