Mathematical behaviour of solutions of the Kirchhoff type equation with logarithmic nonlinearity

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2019 Turkey Publisher:AIP PublishingJournal:AIP Conference Proceedings (issn: 0094-243X,

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Authors: Nazlı Irkıl; Erhan Piskin;

doi: 10.1063/1.5136208 , 10.5269/bspm.51971

handle: 11468/12842 , 20.500.12415/2828

Mathematical behaviour of solutions of the Kirchhoff type equation with logarithmic nonlinearity

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Abstract

We consider the existence and decay estimates of solutions for Kirchhoff type equation with damping logarithmic source term. We proved global existence of solutions under suitable conditons by potential well method and the decay estimates result of the solutions for subcritical energy level.

Country

Turkey

Related Organizations

Dicle University
Turkey
Maltepe University
Turkey

Keywords

Higher-order hyperbolic equations, Asymptotic behavior of solutions to PDEs, QA1-939, existence, decay of solution, Existence, Existence problems for PDEs: global existence, local existence, non-existence, Decay of solution, logarithmic nonlinearity, Mathematics, Logarithmic nonlinearity

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