Work

Global Existence in the Critical Space for the Space-Time Monopole Equations

Year: 2024

Type: article

Abstract: We prove the global existence of solutions in the critical space $$L^1({\mathbb {R}})$$ for space-time monopole equations under the Lorenz gauge condition. The existence of a global solution was showed in our previous paper. Here we adapt a different function space to allow for a simplified proof. We first prove the local existence in $$L^1({\mathbb {R}})$$ and extend the local solution to the global one.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.1007/s44198-024-00241-w

Authors: Hyungjin Huh, Jihyun Yim

Institutions: Chung-Ang University, University of Seoul

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,390

Funders: National Research Foundation, National Research Foundation of Korea, Ministry of Science and ICT, South Korea