Doubly nonlinear parabolic equations with variable exponents of nonlinearity

• Дата: 2011
• Автори: Bokalo, T. M., Buhrii, O. M., Бокало, Т. М., Бугрій, О. М.
• Формат: Стаття
• Мова: Українська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2011
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2747
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate a mixed problem for a class of parabolic-type equations with double nonlinearity and minor terms that do not degenerate and whose indexes of nonlinearity are functions of spatial variables. These problems are considered in the generalized Lebesgue and Sobolev spaces. We obtain conditi...