Global well-posedness of the 3D incompressible porous media equation with critical dissipation in Triebel-Lizorkin spaces

In this paper, we study the global well-posedness of the 3D incompressible critical dissipative porous media equation with small initial data in the Triebel-Lizorkin space F p , q s ( R 3 ) . By a pointwise exponential decay estimate on the Poisson semigroup e − t ν − Δ and the Fourier localization...

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