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Scattering for the quadratic Klein-Gordon equation with inverse-square potential and related problems

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posted on 24.05.2022, 01:53 authored by STEPHEN DENG
We study the scattering of certain non-linear dispersive partial differential equations (PDEs). We may interpret a solution to such a PDE as a model starting off at a given initial state and being evolved according to the PDE. In a linear setting, such a model would disperse its energy across physical space as it evolves in time. We investigate settings for the initial state such that the (oftentimes difficult to understand) nonlinear evolution of the model in fact displays this linear behaviour after a large amount of time.

History

Campus location

Australia

Principal supervisor

Zihua Guo

Year of Award

2022

Department, School or Centre

Mathematics

Course

Doctor of Philosophy

Degree Type

DOCTORATE

Faculty

Faculty of Science

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