Internal modes and radiation damping for Quadratic Klein-Gordon in 3D
Internal modes and radiation damping for Quadratic Klein-Gordon in 3D
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Tristan Leger, Princeton University
In this talk we will听consider听the small data regime of a quadratic Klein-Gordon equation in 3D. Motivated by the question of asymptotic stability of coherent structures (such as solitons) in dispersive equations, the results presented听will focus on the long-time behavior of solutions.
The main new feature in the problem we study is the presence of an internal mode. This brings new challenges, such as both听anomalously slow听decay (worse than linear) and poor spatial localization听of the field.
This is joint work with Fabio Pusateri.
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