Abstract
We consider linear elliptic and parabolic equations with measurable coefficients and prove two types of Lp-estimates for their solutions, which were recently used in the theory of fully nonlinear elliptic and parabolic second order equations in [1]. The first type is an estimate of the γth norm of the second-order derivatives, where 2 (0; 1), and the second type deals with estimates of the resolvent operators in Lp when the first-order coefficients are summable to an appropriate power.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2073-2090 |
| Number of pages | 18 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 17 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2012 |