L 2-estimates of solutions of boundary value problems for equations with mixed elliptic-parabolic structure

For the linear equation L u=0 in which L is a product of a 2b₁-parabolic operator and a 2b₂r-elliptic operator (b₁, b₂, and r are integers), we obtain L₂-estimates for solutions of model boundary value problems, namely, for the Cauchy problem and the half-space problem. Bibliography: 5 titles. Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 197, pp. 4–27, 1992. Translated by N. A. Karazeeva.