Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614727 | Journal of Mathematical Analysis and Applications | 2015 | 12 Pages |
Abstract
We prove global existence of solutions to space–time monopole equations in one space dimension. Observing the null structure of the system, we first prove local existence in LpLp by applying a bilinear estimate. From a priori LpLp estimates, we can extend the local solution to the global one. For the critical case L1L1, the concentration of the solution is denied to show the time global solvability.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hyungjin Huh, Jihyun Yim,