Ya-Nan Li

Global Well-Posedness and Asymptotic Behavior of Energy-Damped Subquintic Wave Equations

In this paper, we consider a wave equation in a bounded three-dimensional domain with a degenerate nonlocal damping mechanism depending on the system's energy and a source term with subquintic growth. This kind of model is motivated by applications to optical physics. We establish global existence in the Shatah--Struwe...