Asymptotics for solutions of elliptic equations in double divergence form
| dc.creator | Maz'ya, Vladimir | |
| dc.creator | McOwen, Robert | |
| dc.date | 2006-02-24 | |
| dc.date | 2006-03-24 | |
| dc.date.accessioned | 2026-07-07T07:03:45Z | |
| dc.date.available | 2026-07-07T07:03:45Z | |
| dc.description | We consider weak solutions of the adjoint equation for an elliptic operator in nondivergent form, and their asymptotic properties at an interior point. We assume that the coefficients a_{ij} are bounded, measurable, complex-valued functions that approach δ_{ij}, but possibly at a slow rate. Our main result is an explicit formula for the leading asymptotic term for solutions with a most a mild singularity at x=0. As a consequence, we obtain upper and lower estimates for the L^p-norm of solutions, as well as necessary and sufficient conditions for solutions to be bounded or tend to zero in L^p-mean as r tends to zero. | |
| dc.description | 14 pages. The Abstract and Introduction have been rewritten; this includes an additional Corollary of our main results | |
| dc.identifier | https://arxiv.org/abs/math/0602558 | |
| dc.identifier | http://arxiv.org/abs/math/0602558 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109098 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35J15 | |
| dc.title | Asymptotics for solutions of elliptic equations in double divergence form | |
| dc.type | text |