On the problem without initial conditions for a nonlinear degenerating parabolic system

• Date: 1994
• Main Authors: Pukach, P. Ya., Пукач, П. Я.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5747
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We indicate the classes for which a solution of the problem for a certain nonlinear degenerating parabolic system without initial conditions exists and is unique. The uniqueness conditions are established both in the case where restrictions are imposed on the behavior of solutions as $t \rightarrow...