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- MakaleAçık Erişim2023Scopus SJRQ3Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction term; [Bornes sur le temps d’explosion pour une équation intégro-différentielle de type parabolique avec un terme réactif variable]
Ayazoglu, Rabil; Akkoyunlu, Ebubekir
This paper is concerned with the blow-up time of the solutions to an integro-differential problem of parabolic type with variable growth if blow-up occurs. By using the differential inequality technique, we obtain lower bounds for the blow-up time and some global existence results under some conditions to variable exponent of reaction, memory kernel, and initial value.
AtıfScopus1WoS1İncele
- MakaleYalnız künye2022Scopus SJRQ2Lower bounds for blow-up time in a nonlinear parabolic problem with a gradient nonlinearity
Ayazoglu Mashiyev, Rabil; Ekincioglu, Ismail
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 Lk(Ω ) (k> 1 ) norm and conditions which ensure that blow-up cannot occur.
