Nonlinearity · 2002 · 30 citations · 16 references
Natural SciencesMathematicsPhysicsMathematical PhysicsRelativityTheoretical PhysicsGeneral RelativityRelativistic PhysicsCauchy ProblemChern-simons TheoryGlobal Existence TheoryInitial Value Problem In General Relativity
We study the Cauchy problem for the (2+1)-dimensional relativistic Abelian Chern-Simons-Higgs model. We prove the global existence and uniqueness of the solutions for the finite energy data.
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Self-dual Chern-Simons vortices
R. Jackiw, Erick J. Weinberg · Physical Review Letters · 1990 · 679 citations
Nonlinear Schrödinger evolution equations
Haïm Brézis, Thierry Gallouët · Nonlinear Analysis · 1980 · 498 citations