Displaying similar documents to “Mappings of finite distortion: composition operator.”

L -estimate for solutions of nonlinear parabolic systems

Wojciech Zajączkowski (1996)

Banach Center Publications

Similarity:

We prove existence of weak solutions to nonlinear parabolic systems with p-Laplacians terms in the principal part. Next, in the case of diagonal systems an L -estimate for weak solutions is shown under additional restrictive growth conditions. Finally, L -estimates for weakly nondiagonal systems (where nondiagonal elements are absorbed by diagonal ones) are proved. The L -estimates are obtained by the Di Benedetto methods.