Abstract: | In the cylinder QT= ×(O,T], where is a bounded domain in Rn, linear and quasilinear second-order equations with measurable coefficients in QT are considered which are, in general, neither strictly nor uniformly parablic. Previous results of the author for equations of this sort are developed.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 69, pp. 45–64, 1977. |