Stability theory occupies a central role in the analysis of differential equations and wave equations, serving as the cornerstone for understanding the long‐term behaviour of dynamical systems. At its ...

This is a preview. Log in through your library . Abstract Global well-posedness in H2(ℝ3) × H1(ℝ3) is shown for nonlinear wave equations of the form u + f(u) + g(ut) = 0, where t ∈ ℝ+. The main ...

Consider an evolution equation with energy dissipation, ${\textstyle\frac{\partial}{\partial t}}y(x,t)=Ay(x,t)+By(x,t)$ on a bounded x-domain Ω, where By signifies a dissipative perturbation to an ...