Mixed problem for a nonlinear ultraparabolic equation that generalizes the diffusion equation with inertia

• Дата: 2006
• Автори: Lavrenyuk, S. P., Protsakh, N. P., Лавренюк, С. П., Процах, Н. П.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2006
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3522
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a mixed problem for a nonlinear ultraparabolic equation that is a nonlinear generalization of the diffusion equation with inertia and the special cases of which are the Fokker-Planck equation and the Kolmogorov equation. Conditions for the existence and uniqueness of a solution of this p...