
Journal of Convex Analysis 07 (2000), No. 1, 203208 Copyright Heldermann Verlag 2000 Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data FengQuan Li Dept. of Mathematics, Qufu Normal University, Qufu, Shandong 273165, P. R. China GuangWei Li Dept. of Mathematics, Qufu Normal University, Qufu, Shandong 273165, P. R. China The authors improve the L^{p} estimates from the earlier papers of L. Boccardo, T. Gallouet, J. M. Rakotoson, et al., for weak solutions in L^{1}(0, T; W_{0}^{1,1}(Ω)) to nonlinear parabolic equations with right hand side and initial value involving measure data.We give an improvement of the summability of solutions to nonlinear parabolic equations with measure data. Keywords: Summability, nonlinear parabolic equations, measure data. MSC: 35D10; 35K60 [ Fulltextpdf (170 KB)] 