Strong Convergence to the Homogenized Limit of Parabolic Equations with Random Coefficients

Details Strong Convergence to the Homogenized Limit of Parabolic Equations with Random Coefficients Strong Convergence to the Homogenized Limit of Parabolic Equations with Random Coefficients

2012-03-23

arxiv.org/abs/1203.5345v1

Mathematics

Analysis of PDEs

46 pages

Scientific paper

This paper is concerned with the study of solutions to discrete parabolic equations in divergence form with random coefficients, and their convergence to solutions of a homogenized equation. It has previously been shown that if the random environment is translational invariant and ergodic, then solutions of the random equation converge under diffusive scaling to solutions of a homogenized parabolic PDE. In this paper point-wise estimates are obtained on the difference between the averaged solution to the random equation and the solution to the homogenized equation for certain random environments which are strongly mixing.

Affiliated with

Also associated with

No associations

Rating

Strong Convergence to the Homogenized Limit of Parabolic Equations with Random Coefficients does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Strong Convergence to the Homogenized Limit of Parabolic Equations with Random Coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Strong Convergence to the Homogenized Limit of Parabolic Equations with Random Coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-38708