A gradient estimate for solutions to parabolic equations with discontinuous coefficients

Mathematics – Analysis of PDEs

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

33 pages

Scientific paper

Li-Vogelius and Li-Nirenberg gave a gradient estimate for solutions of strongly elliptic equations and systems of divergence forms with piecewise smooth coefficients, respectively. The discontinuities of the coefficients are assumed to be given by manifolds of codimension 1, which we called them manifolds of discontinuities. Their gradient estimate is independent of the distances between manifolds of discontinuities. In this paper, we gave a parabolic version of their results. That is, we gave a gradient estimate for parabolic equations of divergence forms with piecewise smooth coefficients. The coefficients are assumed to be independent of time and their discontinuities are likewise the previous elliptic equations. As an application of this estimate, we also gave a pointwise gradient estimate for the fundamental solution of a parabolic operator with piecewise smooth coefficients. The both gradient estimates are independent of the distances between manifolds of discontinuities.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A gradient estimate for solutions to parabolic equations with discontinuous 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 A gradient estimate for solutions to parabolic equations with discontinuous coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A gradient estimate for solutions to parabolic equations with discontinuous coefficients will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-320419

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.