Global attractors for nonlinear wave equations with nonlinear dissipative terms

Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping

Communications in Partial Differential Equations · 1990 · 467 citations

Natural Sciences, Mathematics, Physics +11

Global attractors for damped semilinear wave equations

J. M. Ball · Discrete and Continuous Dynamical Systems · 2004 · 433 citations · Full text

Natural Sciences, Mathematics, Physics +17

A damped hyerbolic equation with critical exponent

José M. Arrieta, Alexandre N. Carvalho, Jack K. Hale · Communications in Partial Differential Equations · 1992 · 204 citations

Natural Sciences, Mathematics, Physics +10

Decay of solutions of the wave equation with a local nonlinear dissipation

Mitsuhiro Nakao · Mathematische Annalen · 1996 · 158 citations

Natural Sciences, Mathematics, Physics +13

Asymptotic stability of the bounded or almost periodic solution of the wave equation with nonlinear dissipative term

Mitsuhiro Nakao · Journal of Mathematical Analysis and Applications · 1977 · 115 citations

Natural Sciences, Mathematics, Differential Equations +14