Classical solutions of quasielliptic equations

Fundamental solutions of quasielliptic equations are constructed; this allo ws the author to develop a relevant theory of volume potentials, establish estimates for the Holder norms of solutions of equations with constant coef ficients, and extend them after that to equations with variable coefficient s. As a result, sharp Schauder-type interior estimates are obtained, of whi ch the well-known classical results for elliptic and parabolic equations ar e special cases.