| Abstract: |
| We develop a global Calder\`on--Zygmung theory for quasilinear divergence form parabolic equations over Reifenberg flat domain with nonlinearity depending also on the weak solution $u.$ The nonlinear term behaves as the $p$-Laplacian with respect to the spatial gradient $Du,$ its discontinuity in the independent variables is measured in small-BMO seminorm, while only H\older continuity is required with respect to the variable $u.$ |
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