Local existence and blow up of solutions to a logarithmic nonlinear wave equation with delay

By Mohammad M. Kafini, Salim A. Messaoudi. Applicable Analysis, 2018

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ABSTRACT This paper is concerned with a problem of a logarithmic nonlinear wave equation with delay. The local existence result has been established using the semigroup theory. In addition, for negative initial energy, a finite-time blow-up result is proved.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a63709e9bbdefaf614aa87ade66c057f5018342a