Article ID Journal Published Year Pages File Type
4614727 Journal of Mathematical Analysis and Applications 2015 12 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
, ,