Global solution in a weak energy class for Klein-Gordon-Schrödinger system

Based on the possible singularity of stationary state, we revisit the initial boundary value problem of the classical Klein-Gordon-Schrödinger (KGS) system in one space dimension. The wellposedness is established in a class of Sobolev NLS solutions together with exponentially growing KG solutions.

Bibliographic Details
Main Authors: Qihong Shi, Yaqian Jia, Xunyang Wang
Format: Article
Language:English
Published: AIMS Press 2022-02-01
Series:Electronic Research Archive
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/era.2022033?viewType=HTML