Lower bounds for blow-up time in a nonlinear parabolic problem with a gradient nonlinearity
Küçük Resim Yok
Tarih
2022
Yazarlar
Mashiyev, Rabil Ayazoglu
Ekincioglu, Ismail
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this article, we study the blow-up properties of solutions to a parabolic problem with a gradient nonlinearity under homogeneous Dirichlet boundary conditions. By constructing an auxiliary function and by modifying the first order differential inequality, we obtain lower bounds for the blow-up time of solutions in L-k (Omega) (k > 1) norm and conditions which ensure that blow-up cannot occur.
Açıklama
Anahtar Kelimeler
Nonlinear parabolic problem, Gradient nonlinearity, Blow-up time, Lower bounds, Nonblow-up
Kaynak
Journal of Elliptic and Parabolic Equations
WoS Q Değeri
N/A
Scopus Q Değeri
Q2
Cilt
8
Sayı
1
