Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional data

Nguyen, Quoc-Hung2016-02-162016-02-162016-02-16201510.1007/s00526-015-0926-yhttps://infoscience.epfl.ch/handle/20.500.14299/124018WOS:000365412700021In this paper, we prove global weighted Lorentz and Lorentz-Morrey estimates for gradients of solutions to the quasilinear parabolic equations: in a bounded domain , under minimal regularity assumptions on the boundary of domain and on nonlinearity A. Then results yields existence of a solution to the Riccati type parabolic equations: where and is a bounded Radon measure.Global estimates for quasilinear parabolic equations on Reifenberg flat domains and its applications to Riccati type parabolic equations with distributional datatext::journal::journal article::research article