Abstract
We extend the concept of intrinsic ultracontractivity to non-symmetric semigroups and prove the intrinsic ultracontractivity of the Dirichlet semigroups of non-symmetric second order elliptic operators in bounded Lipschitz domains.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 527-547 |
| Number of pages | 21 |
| Journal | Tohoku Mathematical Journal |
| Volume | 60 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2008 |
Keywords
- Diffusions
- Intrinsic ultracontractivity
- Invariant functions
- Logaritheoremic Sobolev inequality
- Semigroups
- Ultracontractivity
ASJC Scopus subject areas
- General Mathematics