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  Hörmander's method for the characteristic Cauchy problem and conformal scattering for a non linear wave equation

Joudioux, J. (in preparation). Hörmander's method for the characteristic Cauchy problem and conformal scattering for a non linear wave equation.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0003-484A-A Version Permalink: http://hdl.handle.net/21.11116/0000-0003-485D-5
Genre: Paper

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1903.12591.pdf (Preprint), 297KB
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Joudioux, Jérémie1, Author              
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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: 2019-03-29
 Publication Status: Not specified
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 Identifiers: arXiv: 1903.12591
URI: http://arxiv.org/abs/1903.12591
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