We prove weighted L p , q -estimates for divergence type higher order elliptic and parabolic systems with irregular coefficients on Reifenberg flat domains. In particular, in the parabolic case the coefficients do not have any regularity assumptions in the time variable. As functions of the spatial variables, the leading coefficients are permitted to have small mean oscillations. The weights are in the class of Muckenhoupt weights A p . We also prove the solvability of the systems in weighted Sobolev spaces.
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - 2019 Jun 1|
ASJC Scopus subject areas
- Applied Mathematics