Gradient estimates for a class of parabolic systems
E Acerbi, G Mingione - 2007 - projecteuclid.org
2007•projecteuclid.org
We establish local Calderón-Zygmund-type estimates for a class of parabolic problems
whose model is the nonhomogeneous, degenerate/singular parabolic p-Laplacian system ut-
div (| Du| p-2 Du)= div (| F| p-2 F), proving that F∈ L loc q⇒ Du∈ L q loc,∀ q≥ p. We also
treat systems with discontinuous coefficients of vanishing mean oscillation (VMO) type
whose model is the nonhomogeneous, degenerate/singular parabolic p-Laplacian system ut-
div (| Du| p-2 Du)= div (| F| p-2 F), proving that F∈ L loc q⇒ Du∈ L q loc,∀ q≥ p. We also
treat systems with discontinuous coefficients of vanishing mean oscillation (VMO) type
Abstract
We establish local Calderón-Zygmund-type estimates for a class of parabolic problems whose model is the nonhomogeneous, degenerate/singular parabolic -Laplacian system proving that We also treat systems with discontinuous coefficients of vanishing mean oscillation (VMO) type
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