Математика

Existence results for p(x)-Laplace equations

Al. S. Tersenov

University of Crete

Аннотация: The non-homogeneous Dirichlet problem for degenerate quasilinear parabolic equations is considered. We prove the existence of a solution u such that ut belongs to L∞. The L∞ estimate of ut is obtained by introducing a new time variable.

Ключевые слова: degenerate parabolic equations, a priori estimates, generalized solutions

УДК: 517.95

Поступила в редакцию: 16.10.2024
Принята в печать: 06.12.2024

Язык публикации: английский

DOI: 10.25587/2411-9326-2024-4-106-117