Abstract: | For abstract semilinear dissipative equations of the Sobolev type (1)–(8) the principle of linearized stability in the theory of exponential stability in the “strong” norm is investigated. Bibliography: 12 titles. To dear Olga Alexandrovna Ladyzhenskaya on the occasion of her jubilee Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 200, 1992, pp. 139–148. Translated by V. I. Ochkur. |