L∞ – Estimate for Qualitatively Bounded Weak Solutions of Nonlinear Degenerate Diagonal Parabolic Systems
Wojciech M. Zajączkowski · Journal of Applied Analysis · 1996
The Dirichlet problem to nonlinear degenerate diagonal parabolic system with some special right–hand sides but still satisfying the maximal growth conditions is considered. Applying the idea of Stampacchia a L ∞ – estimate in terms of data for a priori bounded weak solutions is found.