Материалы международной научной конференции «Уфимская осенняя математическая школа» (г. Уфа, 28 сентября – 1 октября 2022 г.). Том 2 / отв. редактор З.Ю. Фазуллин. - Уфа: РИЦ БашГУ, 2022. - 472 с.
BLOW UP OF AN ABSTRACT CAUCHY PROBLEM SOLUTION WHITH NONLINEAR OPERATOR COEFFICIENTS AND NON-COERCIVE SOURCE
We consider an abstract second-order Cauchy problem for nonlinear Sobolev type equation with a non-coercive source. Sufficient conditions for a blow up and a global solvability of solutions in finite time are obtained with estimates from above and below for the blow up time.
BLOW UP OF AN ABSTRACT CAUCHY PROBLEM SOLUTION WHITH NONLINEAR OPERATOR COEFFICIENTS AND NON-COERCIVE SOURCE
We consider an abstract second-order Cauchy problem for nonlinear Sobolev type equation with a non-coercive source. Sufficient conditions for a blow up and a global solvability of solutions in finite time are obtained with estimates from above and below for the blow up time.