DOI: 10.68381/jca07011 ISSN: 0944-6532

Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data

Feng-Quan Li, Guang-Wei Li

The authors improve the

L^p 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)) 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.