LOCAL EXISTENCE AND GLOBAL NONEXISTENCE OF SOLUTION FOR LOVE-EQUATION WITH INFINITE MEMORY
Résumé
In this paper, we consider an IBVP 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 weak solution. The finite time blow up of weak solution is considered.
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