Seminar “On stabilization of solutions of higher-order evolution inequalities”
16 February, at 18:00 MSK
Title of the talk: On stabilization of solutions of higher-order evolution inequalities
Issues raised in the talk were previously investigated mainly for second-order differential operators. The case of higher-order operators has been studied much less. We obtain sufficient conditions for the stabilization of weak solutions of higher- order differential inequalities. It is not assumed that the solutions satisfy any initial conditions. We also do not impose any ellipticity conditions on the spatial part of the differential operator. Thus, our results can be applied to both parabolic and so-called anti-parabolic inequalities. We give examples showing the accuracy of our results for a wide class of equations and inequalities. The work was done jointly with A.E. Shishkov.
D.Sc., Professor Kon’kov A.A. (Moscov Lomonosov State University, Moscow).