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arxiv: 1611.04463 · v3 · pith:TX6P3FE3new · submitted 2016-11-10 · 🧮 math.AP

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

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keywords attractionstatesstationaryconcentratedenergyequationsglobalnonlinearities
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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.

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