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

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.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0003-484A-A Version Permalink: https://hdl.handle.net/21.11116/0000-0006-91D0-A
Genre: Journal Article

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 Creators:
Joudioux, Jérémie1, Author           
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Mathematics, Analysis of PDEs, math.AP,
 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.

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 Dates: 2019-03-2920202020
 Publication Status: Issued
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 Rev. Type: -
 Identifiers: arXiv: 1903.12591
URI: http://arxiv.org/abs/1903.12591
DOI: 10.1007/s11005-020-01266-0
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Title: Letters in Mathematical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 110 (6) Sequence Number: - Start / End Page: 1391 - 1423 Identifier: -