Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data

Feng-Quan Li; Guang-Wei Li

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Summability
nonlinear parabolic equations
measure data

Mathematics Subject Classification

35D10; 35K60

Suggested citation

F.-Q. Li, G.-W. Li. “Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data.” Journal of Convex Analysis 7 (2000), No. 1, 203–208.