Abstract
We prove the unique solvability in weighted Sobolev spaces of non-divergence form elliptic and parabolic equations on a half space with the homo-geneous Neumann boundary condition. All the leading coeffcients are assumed to be only measurable in the time variable and have small mean oscillations in the spatial variables. Our results can be applied to Neumann boundary value problems for stochastic partial differential equations with BMOx coeffcients.
Original language | English |
---|---|
Pages (from-to) | 4895-4914 |
Number of pages | 20 |
Journal | Discrete and Continuous Dynamical Systems- Series A |
Volume | 36 |
Issue number | 9 |
DOIs | |
Publication status | Published - 2016 Sept |
Keywords
- Lp estimates
- Parabolic equations
- Weighted Sobolev spaces
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics