Abstract
In this paper, we consider an initial boundary value problem for a nonlinear Love equation with infinite memory. By combining the linearization method, the Faedo–Galerkin method and the weak compactness method, we prove the local existence and uniqueness of a weak solution. The finite time blow-up of the weak solution is considered.
Citation
Khaled Zennir. Tosiya Miyasita. Perikles Papadopoulos. "Local existence and global nonexistence of a solution for a Love equation with infinite memory." J. Integral Equations Applications 33 (1) 117 - 136, Spring 2021. https://doi.org/10.1216/jie.2021.33.117
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