Mathematics – Mathematical Physics
Scientific paper
Mar 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cmaph.105...85b&link_type=abstract
Communications in Mathematical Physics, Volume 105, Issue 1, pp.85-98
Mathematics
Mathematical Physics
4
Scientific paper
We study the Cauchy problem for non-abelian Yang-Mills-Higgs theory in (3+1)-dimensional Minkowski spacetime. With suitable conditions on the background fields and a suitable choice of a Sobolev space for the subtracted gauge potentials and the Higgs field, we establish local existence. We then prove global existence by showing that an appropriate norm of the solutions cannot blow up in a finite time.
Burzlaff Jurgen
O'Murchadha Niall
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