Develops R-sectoriality perturbation for non-commuting operators to establish maximal L^q-regularity of the Laplacian on manifolds with edges and applies it to short-time well-posedness of the porous medium equation.
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Maximal $L^{q}$-regularity for the Laplacian on manifolds with edges
Develops R-sectoriality perturbation for non-commuting operators to establish maximal L^q-regularity of the Laplacian on manifolds with edges and applies it to short-time well-posedness of the porous medium equation.