Global well-posedness in energy space for the Chern–Simons–Higgs system in temporal gauge

Hartmut Pecher

Type: Article

Publication Date: 2016-06-01

Citations: 7

DOI: https://doi.org/10.1142/s0219891616500107

Abstract

The Cauchy problem for the Chern–Simons–Higgs system in the [Formula: see text]-dimensional Minkowski space in temporal gauge is globally well-posed in energy space improving a result of Huh. The proof uses the bilinear space-time estimates in wave-Sobolev spaces by d’Ancona, Foschi and Selberg, an [Formula: see text]-estimate for solutions of the wave equation, and also takes advantage of a null condition.

Locations

Journal of Hyperbolic Differential Equations - View
arXiv (Cornell University) - View - PDF

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Works Cited by This (14)

Action	Title	Year	Authors
+	None	1996	Sergiù Klainerman Matei Machedon
+	A REMARK ON UNCONDITIONAL UNIQUENESS IN THE CHERN-SIMONS-HIGGS MODEL	2015	Sigmund Selberg Daniel Oliveira da Silva
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz
+	Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory	2002	Dongho Chae Kwangseok Choe
+ PDF Chat	The Cauchy problem for coupled Yang-Mills and scalar fields in the temporal gauge	1981	J. Ginibre G. Velo
+	Local and global solutions of the Chern–Simons–Higgs system	2006	Hyungjin Huh
+	Local well-posedness of Chern-Simons-Higgs system in the Lorentz gauge	2011	Yuan Jian-jun
+	Self-dual Chern-Simons vortices	1990	R. Jackiw Erick J. Weinberg
+	Local well-posedness of the Yang–Mills equation in the temporal gauge below the energy norm	2003	Terence Tao
+ PDF Chat	Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations	2001	Terence Tao