Well-posedness and exponential stability for a wave equation with nonlocal time-delay condition
Raposo, Carlos Alberto
Nguyen, Huy Hoang
de Oliveira, Vanessa
Texas State University, Department of Mathematics
Well-posedness and exponential stability of nonlocal time-delayed of a wave equation with a integral conditions of the 1st kind forms the center of this work. Through semigroup theory we prove the well-posedness by the Hille-Yosida theorem and the exponential stability exploring the dissipative properties of the linear operator associated to damped model using the Gearhart-Huang-Pruss theorem.
Well-posedness, Exponential stability, Wave equation, Semigroup
Raposo, C. A., Nguyen, H. H., Ribeiro, J. O., & de Oliveira, V. B. (2017). Well-posedness and exponential stability for a wave equation with nonlocal time-delay condition. <i>Electronic Journal of Differential Equations, 2017</i>(279), pp. 1-11.