Displaying similar documents to “Detection of scales of heterogeneity and parabolic homogenization applying very weak multiscale convergence.”

Σ -convergence.

Nguetseng, Gabriel, Svanstedt, Nils (2011)

Banach Journal of Mathematical Analysis [electronic only]

Similarity:

L -estimates for solutions of nonlinear parabolic systems with gradient linear growth

Wojciech Zajączkowski (1996)

Banach Center Publications

Similarity:

Existence of weak solutions and an L -estimate are shown for nonlinear nondegenerate parabolic systems with linear growth conditions with respect to the gradient. The L -estimate is proved for equations with coefficients continuous with respect to x and t in the general main part, and for diagonal systems with coefficients satisfying the Carathéodory condition.

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.