Existence and extinction of solutions for parabolic equations with nonstandard growth nonlinearity

Authors : Rabil Ayazoğlu, Gülizar Alisoy, Sezgin Akbulut, Tuba Ağırman Aydın

Pages : 367-381

Doi:10.15672/hujms.1106985

View : 143 | Download : 297

Publication Date : 2024-04-23

Article Type : Research Paper

Abstract :In this paper, we consider an initial boundary value problem for a class of $p(\\cdot )$-Laplacian parabolic equation with nonstandard nonlinearity in a bounded domain. By using new approach, we obtain the global and decay of existence of the solutions. Moreover, the precise decay estimates of solutions before the occurrence of the extinction are derived.
Keywords : parabolic, p \\cdot Laplacian, variable exponents, global existence, decay property, extinction