Coefficient stability of operator#x2010;difference schemes with time variable operators

摘要

The problem of the coefficient stability for operator#x2010; difference schemes with variable operator is investigated. A priori coordinated estimates in theL2#x2010;norm are obtained for differential#x2010;operator equations and operator#x2010;difference schemes. Estimates in the energy spaceHAfor coefficient stability and stability with respect to the right#x2010;hand side and the initial data are proved under more strong assumptions for operator's perturbation.