Abstract
An Lp-theory of divergence and non-divergence form elliptic and parabolic equations is presented. The main coefficients are supposed to belong to the class VMOx, which, in particular, contains all functions independent of x. Weak uniqueness of the martingale problem associated with such equations is obtained.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 453-475 |
| Number of pages | 23 |
| Journal | Communications in Partial Differential Equations |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2007 |
Bibliographical note
Funding Information:The work was partially supported by NSF Grant DMS-0140405.
Keywords
- Martingale problem
- Second-order equations
- Vanishing mean oscillation