Qualitative properties of solutions to a nonlocal evolution system

Ahmad Z. Fino; Mokhtar Kirane

doi:10.1002/mma.1428

Qualitative properties of solutions to a nonlocal evolution system

Ahmad Z. Fino, Mokhtar Kirane

Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

In this paper, we investigate the local existence and the finite-time blow-up of solutions for a semi-linear parabolic system with a nonlinear memory. Moreover, we give the blow-up rate of solutions and the necessary conditions for local or global existence.

Original language	British English
Pages (from-to)	1125-1143
Number of pages	19
Journal	Mathematical Methods in the Applied Sciences
Volume	34
Issue number	9
DOIs	https://doi.org/10.1002/mma.1428
State	Published - Jun 2011

Keywords

blow-up
blow-up rate
local existence
parabolic system
Riemann-Liouville fractional integrals and derivatives

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10.1002/mma.1428

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title = "Qualitative properties of solutions to a nonlocal evolution system",

abstract = "In this paper, we investigate the local existence and the finite-time blow-up of solutions for a semi-linear parabolic system with a nonlinear memory. Moreover, we give the blow-up rate of solutions and the necessary conditions for local or global existence.",

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author = "Fino, {Ahmad Z.} and Mokhtar Kirane",

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AU - Kirane, Mokhtar

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AB - In this paper, we investigate the local existence and the finite-time blow-up of solutions for a semi-linear parabolic system with a nonlinear memory. Moreover, we give the blow-up rate of solutions and the necessary conditions for local or global existence.

KW - blow-up

KW - blow-up rate

KW - local existence

KW - parabolic system

KW - Riemann-Liouville fractional integrals and derivatives

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 9

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Qualitative properties of solutions to a nonlocal evolution system

Abstract

Keywords

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