Global solutions for operator Riccati equations with unbounded coefficients: A non-linear semigroup approach

On Global Existence, Asymptotic Stabilit

On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation

✍ Kosuke Ono 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 335 KB 👁 2 views

We study on the initial-boundary value problem for some degenerate non-linear wave equations of Kirchhoff type with a strong dissipation: When the initial energy associated with the equations is non-negative and small, a unique (weak) solution exists globally in time and has some decay properties.