In this work, we consider a logarithmic nonlinear viscoelastic wave equation with a delay term in a bounded domain. We obtain the local existence of the solution by using the Faedo-Galerkin approximation. Then, under suitable conditions, we prove the blow up of solutions in finite time.
Pişkin, E., & Yuksekkaya, H. (2021). Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay. Computational Methods for Differential Equations, 9(2), 623-636. doi: 10.22034/cmde.2020.35546.1608
MLA
Erhan Pişkin; Hazal Yuksekkaya. "Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay". Computational Methods for Differential Equations, 9, 2, 2021, 623-636. doi: 10.22034/cmde.2020.35546.1608
HARVARD
Pişkin, E., Yuksekkaya, H. (2021). 'Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay', Computational Methods for Differential Equations, 9(2), pp. 623-636. doi: 10.22034/cmde.2020.35546.1608
VANCOUVER
Pişkin, E., Yuksekkaya, H. Local existence and blow up of solutions for a logarithmic nonlinear viscoelastic wave equation with delay. Computational Methods for Differential Equations, 2021; 9(2): 623-636. doi: 10.22034/cmde.2020.35546.1608
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