Estimates in the Generalized Morrey Spaces for Linear Parabolic Systems

Matthew McBride

The purpose of this paper is to study the parabolic system $u_t^i-D_{\alpha }(a_{ij}^{\alpha \beta }{D}_{\beta }{u}^j)=-div{f}^i$ in the generalized Morrey Space $L_{\varphi }^{2,\lambda }$ . We would like to understand the reg…