Internal Stabilization of a Class of Parabolic Integro-Differential Equations: Application to Viscoelastic Fluids

Sheetal Dharmatti, Utpal Manna, Debopriya Mukherjee

In this paper, we prove the stabilizability of abstract Parabolic Integro-Differential Equations (PIDE) in a Hilbert space with decay rate $e^{-\gamma t}$ for certain $\gamma >0,$ by means o…