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- MakaleAçık Erişim2024Scopus SJRQ3Existence and extinction of solutions for parabolic equations with nonstandard growth nonlinearity
Ayazoglu, Rabil; Alisoy, Gulizar; Akbulut, Sezgin; Aydin, Tuba Agirman
In this paper, we consider an initial boundary value problem for a class of p(·)-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.
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İncele - MakaleYalnız künye2022Extinction properties of solutions for a parabolic equation with a parametric variable exponent nonlinearity
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 .
AtıfScopus2İncele
