The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients

Details The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients

2007-01-31

arxiv.org/abs/math/0701898v1

Mathematics

Analysis of PDEs

revised version

Scientific paper

We study the Dirichlet problem in Lipschitz domains and with boundary data in Besov spaces, for divergence form strongly elliptic systems of arbitrary order, with bounded, complex-valued coefficients. Our main result gives a sharp condition on the local mean oscillations of the coefficients of the differential operator and the unit normal to the boundary (which is automatically satisfied if these functions belong to space VMO) guaranteeing that the solution operator associated with this problem is an isomorphism.

Affiliated with

Also associated with

No associations

Rating

The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough 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 The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Dirichlet problem in Lipschitz domains for higher order elliptic systems with rough coefficients will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-457253