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Gradient estimates in Morrey spaces of weak solutions to quasilinear parabolic systems of Hörmander's vector fields

Gradient estimates in Morrey spaces of weak solutions to quasilinear parabolic systems of Hörmander's vector fields

This paper is concerned with higher integrability for gradients of weak solutions to quasilinear parabolic systems of Hörmander's vector fields.We establish L p estimates for gradients of weak solutions by deriving a parabolic Caccioppli inequality and using the reverse Hölder inequality in parabolic cylinders, and then obtain L p estimates …