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math.AP2025
Indirect stabilization of nonlinear coupled wave equations in the presence of time delay or indefinite damping
Alhabib Moumni, Cristina Pignotti, Jawad Salhi +1
This paper explores the exponential stability of two nonlinear wave equations coupled through their velocities. The analysis is divided into two main cases. First, we consider a sy…
math.AP2024
Stability for some classes of degenerate nonlinear hyperbolic equations with time delay
Alessandro Camasta, Genni Fragnelli, Cristina Pignotti
We consider several classes of degenerate hyperbolic equations involving delay terms and suitable nonlinearities. The idea is to rewrite the problems in an abstract way and, using…
math.AP2024
Energy decay for semilinear evolution equations with memory and time-dependent time delay feedback
Elisa Continelli, Cristina Pignotti
In this paper, we study well-posedness and exponential stability for semilinear second order evolution equations with memory and time-varying delay feedback. The time delay functio…