Global Attractor of One Nonlinear Parabolic Equation

• Дата: 2003
• Автори: Kapustyan, O. V., Shkundin, D. V., Капустян, О. В., ШкундінД., В.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2003
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3918
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...