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Hey, I want to know what is the best interior regularity of the following equaiton:
$(-\laplace}^{\frac{s}{2}}u=f$$(-\Delta)^{\frac{s}{2}}u=f$ in $B_{1}$ (ball with radius 1, centered at 0)
$f\in L^{\infty}(B^{\frac{1}{2})$$f\in L^{\infty}(B_{\frac{1}{2}})$
thanks
Hey, I want to know what is the best interior regularity of the following equaiton:
$(-\laplace}^{\frac{s}{2}}u=f$ in $B_{1}$ (ball with radius 1, centered at 0)
$f\in L^{\infty}(B^{\frac{1}{2})$
thanks
Hey, I want to know what is the best interior regularity of the following equaiton:
$(-\Delta)^{\frac{s}{2}}u=f$ in $B_{1}$ (ball with radius 1, centered at 0)
$f\in L^{\infty}(B_{\frac{1}{2}})$