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Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.

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regularity for fractional laplace equation

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) $f\in L^{\infty}(B_1)$ thanks