@article{Kapustyan_Shkundin_2003, title={Global Attractor of One Nonlinear Parabolic Equation}, volume={55}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3918}, abstractNote={We apply the theory of multivalued semiflows to a nonlinear parabolic equation of the “reaction–diffusion” type in the case where it is impossible to prove the uniqueness of its solution. A multivalued semiflow is generated by solutions satisfying a certain estimate global in time. We establish the existence of a global compact attractor in the phase space for the multivalued semiflow generated by a nonlinear parabolic equation. We prove that this attractor is an upper-semicontinuous function of a parameter.}, number={4}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={KapustyanO. V. and ShkundinD. V.}, year={2003}, month={Apr.}, pages={446-455} }