On global attraction to stationary states for wave equations with concentrated nonlinearities

Abstract

The global attraction to stationary states is established for solutions to 3D wave equations with concentrated nonlinearities: each finite energy solution converges as $t\to \pm \infty$ to stationary states. The attraction is caused by nonlinear energy radiation.

References in corpus (2)

• Global attractor for a nonlinear oscillator coupled to the Klein-Gordon field
• Wave equation with concentrated nonlinearities