Local Existence and Blow up for a Nonlinear Viscoelastic Kirchhoff-type Equation with Logarithmic Nonlinearity
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Authors: E. PIşKIN, S. BOULAARAS AND N. IRKıL
DOI: 10.46793/KgJMat2503.335P
Abstract:
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.
Keywords:
Existence, blow up, viscoelastic equation, Kirchhoff-type equation, logarithmic nonlinearity.
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