Extinction properties of solutions for a parabolic equation with a parametric variable exponent nonlinearity
Küçük Resim Yok
Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
extinction, global existence, non-extinction, p(·)-Laplacian, Parabolic equation, parametric, variable exponent
Kaynak
Transactions Issue Mathematics, Azerbaijan National Academy of Sciences
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
42
Sayı
1
