Translator Disclaimer
VOL. 81 | 2019 Modification of the vector-field method related to quadratically perturbed wave equations in two space dimensions
Hideo Kubo

Editor(s) Keiichi Kato, Takayoshi Ogawa, Tohru Ozawa

Abstract

The purpose of this paper is to shed light on the fact that the global solvability for the quadratically perturbed wave equation with small initial data in two space dimension can be shown by using only a restricted set of vector fields associated with the space-time translation and spatial rotations. As a by-product, we establish almost best possible decay estimates related to the above vector fields, as well as the tangential derivatives to the forward light cones.

Information

Published: 1 January 2019
First available in Project Euclid: 31 October 2019

zbMATH: 07176820

Digital Object Identifier: 10.2969/aspm/08110139

Subjects:
Primary: 35B45 , 35L72

Keywords: global solution , Nonlinear wave equation , vector-field method

Rights: Copyright © 2019 Mathematical Society of Japan

PROCEEDINGS ARTICLE
34 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
RIGHTS & PERMISSIONS
Get copyright permission
Back to Top