Seminar on nonlinear problems of PDE and mathematical physics

November 13, 2018 at 16.30 in the aud.495a seminar on nonlinear problems of PDE and mathematical physics will take place.

Speaker: prof. Shishkov Andrey (S.M. Nikolskii Mathematical Institute of RUDN)

Title of the talk: Very singular (and large) solutions of equations of nonlinear stationary and non-stationary diffusion-absorption structure

Abstract: Theory of non-negative very singular (i.e. more singular than corresponding fundamental solutions of linear elliptic and parabolic) is developing from the beginning of 80-th of last century.

We consider main stages in the construction of mentioned theory. New results about sharp conditions of existence-non-existence (criterions) of such a solutions for some classes of mentioned non-linear 

equations with degenerating on some manifolds absorption potentials will be discussed too.