On blowing-up of solutions of Sobolev-type equation with source

M.O Korpusov; A. G. Sveschnikov

On blowing-up of solutions of Sobolev-type equation with source

Authors

M.O Korpusov Division of Mathematics, Physics Department, Moscow state University Vorobievy hills, Moscow, Russia.
A. G. Sveschnikov Division of Mathematics, Physics Department, Moscow state University Vorobievy hills, Moscow, Russia.

Keywords:

blow up, Sobolev type equation, pseudoparabolic equation, nonlinear equation, breaking of waves

Abstract

We consider the initial-boundary-value problem for the three-dimensional, Sobolev-type equation with source. Under some conditions, the theorems on blowup of solutions at finite time of this problem are obtained. Two sided estimates for blowing-up are derived.