On stability theory for solutions of semilinear dissipative equations of the Sobolev type

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.