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Solvability of the \(\mathrm L^2\) Dirichlet problem for parabolic operators with spatially periodic coefficients

Nyström, Kaj
arXiv (All) · Papers
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analysis-of-pdes
We prove global reverse Hölder estimates in \(\mathrm L^2\) for the Poisson kernel of scalar divergence-form parabolic operators in the upper half-space. The coefficient matrix is real, symmetric, and periodic in every spatial variable \(X=(λ,x)\), while no periodicity in time is assumed. If its bou
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