Geodesic
Local Existence and Blow up for a nonlinear Viscoelastic Kirchhoff-type Equation with Logarithmic Nonlinearity
Kragujevac Journal of Mathematics, Tome 49 (2025) no. 3, p. 335

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

The aim of this paper is to consider the initial boundary value problem of nonlinear viscoelastic Kirchhoff-type equation with logarithmic source term. Firstly, we prove the local existence of weak solution by applying Banach fixed theorem. Later, we derive the blow-up results by the combination of the perturbation energy method, concavity method and differential-integral inequality technique.
Classification : 35A01, 35B44, 35L05
Keywords: Existence, blow up, viscoelastic equation, Kirchhoff-type equation, logarithmic nonlinearity. 
Erhan Pişkin; Salah Boulaaras; Nazlı Irkıl. Local Existence and Blow up for a nonlinear Viscoelastic Kirchhoff-type Equation with Logarithmic Nonlinearity. Kragujevac Journal of Mathematics, Tome 49 (2025) no. 3, p. 335 . http://geodesic.mathdoc.fr/item/KJM_2025_49_3_a0/
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     author = {Erhan Pi\c{s}kin and Salah Boulaaras and Nazl{\i} Irk{\i}l},
     title = {Local {Existence} and {Blow} up for a nonlinear {Viscoelastic} {Kirchhoff-type} {Equation} with {Logarithmic} {Nonlinearity}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {335 },
     year = {2025},
     volume = {49},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2025_49_3_a0/}
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