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Extinction properties of solutions for a parabolic equation with a parametric variable exponent nonlinearity
(Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 2022) Ayazoglu Mashiyev, Rabil; Akkoyunlu, Ebubekir
In this paper, we study a class of p(·)-Laplace equation including nonstandard growth nonlinearity in a bounded smooth domain with homogeneous Dirichlet boundary condition. We establish the conditions of non-extinction and extinction are studied of global weak solutions in finite time for any initial data u0 . Moreover, we show the global existence results for N ? 1 with constant p for any initial data u0 . © 2022, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.