Small energy scattering for radial solutions to the generalized Zakharov system

Fuente: arXiv

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Autori principali:	Kato, Jun, Tojo, Osamu
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Analysis of PDEs
Accesso online:	Acceder al recurso
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_version_	1866914671805595648
author	Kato, Jun Tojo, Osamu
author_facet	Kato, Jun Tojo, Osamu
contents	We prove the small energy scattering for the three-dimensional generalized Zakharov system with radial symmetry based on the idea by Guo and Nakanishi (2014), which treats the usual Zakharov system. For the proof, we use the frequency-localized normal form reduction, and the radially improved Strichartz estimates. The relation between the solution to the integral equations, which includes the unusual boundary terms, and the original differential equations is also considered.
format	Preprint
id	arxiv_https___arxiv_org_abs_2401_09855
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Small energy scattering for radial solutions to the generalized Zakharov system Kato, Jun Tojo, Osamu Analysis of PDEs We prove the small energy scattering for the three-dimensional generalized Zakharov system with radial symmetry based on the idea by Guo and Nakanishi (2014), which treats the usual Zakharov system. For the proof, we use the frequency-localized normal form reduction, and the radially improved Strichartz estimates. The relation between the solution to the integral equations, which includes the unusual boundary terms, and the original differential equations is also considered.
title	Small energy scattering for radial solutions to the generalized Zakharov system
topic	Analysis of PDEs
url	https://arxiv.org/abs/2401.09855

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