Parabolic equations with partially VMO coefficients and boundary value problems in Sobolev spaces with mixed norms

Details Parabolic equations with partially VMO coefficients and boundary value problems in Sobolev spaces with mixed norms Parabolic equations with partially VMO coefficients and boundary value problems in Sobolev spaces with mixed norms

2007-06-03

arxiv.org/abs/0706.0329v1

Mathematics

Analysis of PDEs

18 pages

Scientific paper

Second order parabolic equations in Sobolev spaces with mixed norms are studied. The leading coefficients (except $a^{11}$) are measurable in both time and one spatial variable, and VMO in the other spatial variables. The coefficient $a^{11}$ is measurable in time and VMO in the spatial variables. The unique solvability of equations in the whole space is applied to solving Dirichlet and oblique derivative problems for parabolic equations defined in a half-space.

Affiliated with

Also associated with

No associations

Rating

Parabolic equations with partially VMO coefficients and boundary value problems in Sobolev spaces with mixed norms 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 Parabolic equations with partially VMO coefficients and boundary value problems in Sobolev spaces with mixed norms, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Parabolic equations with partially VMO coefficients and boundary value problems in Sobolev spaces with mixed norms will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-689220