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• W2741579435 abstract "An elaborate method is developed to establish a global Calderón–Zygmund type theory in weighted Lorentz spaces Lω(γ,q)(ΩT) for zero Cauchy–Dirichlet problem of nonlinear parabolic equations of p-Laplacian type with p>2dd+2. Here, we assume that the nonlinearity a=a(t,x,ξ) is merely measurable in the time variable t, and has a mall BMO semi-norm in the spatial variables x uniformly in ξ variables, while the boundary ∂Ω of bounded domain Ω is flat in the sense of Reifenberg. Our result not only develops nonlinear Calderón–Zygmund theory under weak regularity assumptions on the datum, but also extends the related framework from Lebesgue spaces to refined weighted Lorentz spaces." @default.
• W2741579435 created "2017-08-08" @default.
• W2741579435 creator A5028331125 @default.
• W2741579435 creator A5061024344 @default.
• W2741579435 date "2017-12-01" @default.
• W2741579435 modified "2023-10-17" @default.
• W2741579435 title "Global weighted Lorentz estimates to nonlinear parabolic equations over nonsmooth domains" @default.
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• W2741579435 doi "https://doi.org/10.1016/j.jmaa.2017.07.054" @default.
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