Uniqueness of the solutions of the cauchy problem and of boundary-value problems in unbounded domains for certain classes of nonlinear degenerate parabolic equations

The Cauchy problem and boundary value problems in unbounded domains are considered for certain classes of nonlinear degenerate parabolic equations, which contain as a particular case the equations of nonstationary filtration.Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 11, pp. 12–31, 1986.The author expresses her deep gratitude to Olga Arsenovna Oleinik for the formulation of the problem and for her constant interest in the paper.