Existence and L^s ∩ W^{1,q} regularity are shown for solutions to the given parabolic-elliptic system with f in L1(Ω_T) and |u|^θ source, for θ in (0,2/N).
Stampacchia,Le probl` eme de Dirichlet pour les ´ equations elliptiques du second ordre ` a coefficients discon- tinus, Annales de l’Institut Fourier15(1965), no
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Existence and regularity of solutions to parabolic-elliptic nonlinear systems
Existence and L^s ∩ W^{1,q} regularity are shown for solutions to the given parabolic-elliptic system with f in L1(Ω_T) and |u|^θ source, for θ in (0,2/N).