Small data scattering for energy critical NLKG on product spaces Rd ×ℳ2-Reference-Cited by-同舟云学术

Small data scattering for energy critical NLKG on product spaces Rd ×ℳ2

Published:2017-11-29 Issue:02 Volume:20 Page:1750036
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Hari Lysianne¹,Visciglia Nicola²

Affiliation:

1. Laboratoire de Mathématiques de Besançon (LMB, UMR CNRS 6623), Université de Franche Comté, 16 Route de Gray, 25030 Besançon CEDEX, France

2. Dipartimento di Matematica, Università di Pisa, Largo Bruno Pontecorvo 5, 56127 Pisa, Italy

Abstract

We study small data scattering in the energy space of solutions to the [Formula: see text]-critical NLKG posed on product spaces [Formula: see text] with [Formula: see text] and [Formula: see text] is a compact Riemannian manifold.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199717500365

Reference24 articles.

1. On space-time means and everywhere defined scattering operators for nonlinear Klein-Gordon equations

2. On scattering and everywhere defined scattering operators for nonlinear Klein-Gordon equations

3. The global Cauchy problem for the non linear Klein-Gordon equation

4. The global Cauchy problem for the non linear Klein-Gordon equation-II

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Almost global smooth solutions of the 3D quasilinear Klein-Gordon equations on the product space $$\mathbb{R}^{2}\times \mathbb{T}$$;Science China Mathematics;2024-07-12

2. Global classical solutions of semilinear wave equations on $${\mathbb{R}^3} \times \mathbb{T}$$ with cubic nonlinearities;Acta Mathematica Scientia;2023-11-29

3. Global smooth solutions of the 4-D quasilinear Klein-Gordon equations on the product space R3×T;Journal of Differential Equations;2023-04

4. On global smooth small data solutions of 3-D quasilinear Klein-Gordon equations on $ \mathbb{R}^{2}\times \mathbb{T} $;Communications on Pure and Applied Analysis;2023

5. Large data scattering for NLKG on waveguide ℝd ×;Journal of Hyperbolic Differential Equations;2020-06