| Abstract: |
| We present our analysis in an abstract framework. A typical example is an evolution equation in viscoelasticity, linearly damped and with a nonlinear source term. We give sufficient conditions on the initial data to conclude nonexistence of global solutions for any positive value of the initial energy, in particular for high energies.
We compare our results with those in the literature and we give more examples to illustrate the applicability of the abstract formulation. Our talk is based in the following papers.
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Our talk is based in the following papers.
\begin{itemize}
\item {\sc Esquivel-Avila, Jorge A.}, Blow-up in damped abstract nonlinear equations, {\it Electronic Research Archive}, Vol 28, no2, 2020, 549-567.
\item {\sc Esquivel-Avila, Jorge A.}, Nonexistence of global solutions for a class of viscoelastic wave equations, {\it Discrete and Continuous Dynamical Systems Series S}, Vol 14, 2021, 4213-4230.
\end{itemize} |
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