Large Data Low Regularity Scattering Results for the Wave Equation on the Euclidean Space

Anne Sophie de Suzzoni

doi:10.1080/03605302.2012.736910

Large Data Low Regularity Scattering Results for the Wave Equation on the Euclidean Space

Anne Sophie de Suzzoni

CY Cergy Paris Université

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We will consider the resolution of the 3D non linear wave equation under the assumption of spherical symmetry on the euclidean space. For this purpose, we will build a non trivial measure on distributions such that there exists a set of full measurement onto which the flow is globally defined. We will then discuss different properties of the solutions.

langue originale	Anglais
Pages (de - à)	1-49
Nombre de pages	49
journal	Communications in Partial Differential Equations
Volume	38
Numéro de publication	1
Les DOIs	https://doi.org/10.1080/03605302.2012.736910
état	Publié - 1 janv. 2013
Modification externe	Oui

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10.1080/03605302.2012.736910

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title = "Large Data Low Regularity Scattering Results for the Wave Equation on the Euclidean Space",

abstract = "We will consider the resolution of the 3D non linear wave equation under the assumption of spherical symmetry on the euclidean space. For this purpose, we will build a non trivial measure on distributions such that there exists a set of full measurement onto which the flow is globally defined. We will then discuss different properties of the solutions.",

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KW - Non-linear wave equation

KW - Penrose transform

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Large Data Low Regularity Scattering Results for the Wave Equation on the Euclidean Space

Résumé

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