Hörmander’s method for the characteristic Cauchy problem and conformal scattering for a nonlinear wave equation

被引：0
作者：
Jérémie Joudioux
机构：
[1] Albert-Einstein-Institut,
[2] Max-Planck-Institut für Gravitationsphysik,undefined
来源：
Letters in Mathematical Physics | 2020年 / 110卷
关键词：
Characteristic initial value problem; Conformal techniques; Asymptotic analysis; 35L05; 35P25; 53A30; 35Q75;
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暂无
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学科分类号：
摘要：
The purpose of this note is to prove the existence of a conformal scattering operator for the cubic defocusing wave equation on a non-stationary background. The proof essentially relies on solving the characteristic initial value problem by the method developed by Hörmander. This method consists in slowing down the propagation speed of the waves to transform a characteristic initial value problem into a standard Cauchy problem.
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页码：1391 / 1423
页数：32
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