An Lq (Lp)-theory of divergence and non-divergence form parabolic equations is presented. The main coefficients are supposed to belong to the class VMOx, which, in particular, contains all measurable functions depending only on t. The method of proving simplifies the methods previously used in the case p = q.
Bibliographical noteFunding Information:
✩ The work was partially supported by NSF Grants DMS-0140405 and DMS-0653121. E-mail address: email@example.com.
- Mixed norms
- Second-order equations
- Vanishing mean oscillation