Journal of Convex Analysis 07 (2000), No. 1, 203--208
Copyright Heldermann Verlag 2000
Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data
Feng-Quan Li
Dept. of Mathematics, Qufu Normal University, Qufu, Shandong 273165, P. R. China
Guang-Wei Li
Dept. of Mathematics, Qufu Normal University, Qufu, Shandong 273165, P. R. China
The authors improve the Lp estimates from the earlier papers of L. Boccardo, T. Gallouet, J. M. Rakotoson, et al., for weak solutions in L1(0, T; W01,1(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
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