Weighted Sobolev Regularity of Viscosity Solutions for Fully Nonlinear Parabolic Equations

다국어 초록 (Multilingual Abstract)

We obtain interior regularity estimates in the weighted Orlicz spaces for viscosity solutions of fully nonlinear uniformly parabolic equations$$u_t- F(D^{2}u, x,t) = f(x,t)\ \textrm{ in } Q_1$$under relaxed structure conditions on the nonlinear operator $F$.

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