On the higher integrability for the gradients of the solutions to difference partial differential systems of elliptic-parabolic type

摘要

The main objective of this paper is to investigate the regularity property of solutions to difference partial differential equations of elliptic-parabolic type. Under some proper assumptions on the coefficients of the equations and on the initial-boundary data, there is established the higher integrability of the gradients of the solutions in problem.