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Journal Article

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

##### Fulltext (public)

1903.12591.pdf

(Preprint), 297KB

Joudioux2020_Article_HörmanderSMethodForTheCharacte.pdf

(Publisher version), 584KB

##### Supplementary Material (public)

There is no public supplementary material available

##### Citation

Joudioux, J. (2020). Hörmander’s method for the characteristic Cauchy problem and conformal
scattering for a nonlinear wave equation.* Letters in Mathematical Physics,* *110*(6),
1391-1423. doi:10.1007/s11005-020-01266-0.

Cite as: http://hdl.handle.net/21.11116/0000-0003-484A-A

##### Abstract

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 H\"ormander. This method consists in slowing
down the propagation speed of the waves to transform a characteristic initial
value problem into a standard Cauchy problem.