Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data

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 $L^1(0, T; W_0^{1,1}(\Omega))$ 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.