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 . 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)|
|Number of pages||18|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|State||Published - Dec 13 2012|