Removable singularities of solutions of semi-elliptic equations

摘要

Let P(D) be a quasihomogeneous semi-elliptic linear differential operator with constant coefficients in n. We prove a metric criterion for the removability of singular sets of solutions of the equation P(D)f = 0 in function classes defined by solutions of this equation with the use of local approximations in mean. [PUBLICATION ABSTRACT]