Work

Bounds for the blow-up time a class of integro-differential problem of parabolic type with variable reaction term

Year: 2023

Type: article

Abstract: 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.

Source: Comptes Rendus Mécanique

DOI: 10.5802/crmeca.233

Authors: Rabil Ayazoglu, Ebubekir Akkoyunlu

Institutions: Bayburt University, Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4388928545

FWCI: 0.214

Cites: 28

Cited by: 1

Related to: 10