no. 2
Global existence for a nonlinear Schroedinger-Chern-Simons system on a surface
Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) no. 2, pp. 207-225 
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     author = {Demoulini, Sophia},
     title = {Global existence for a nonlinear {Schroedinger-Chern-Simons} system on a surface},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {207--225},
     year = {2007},
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     number = {2},
     doi = {10.1016/j.anihpc.2006.01.004},
     language = {en},
     url = {https://www.numdam.org/articles/10.1016/j.anihpc.2006.01.004/}
}
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Demoulini, Sophia. Global existence for a nonlinear Schroedinger-Chern-Simons system on a surface. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) no. 2, pp. 207-225. doi: 10.1016/j.anihpc.2006.01.004

[1] Aubin T., Nonlinear Analysis on Manifolds. Monge-Ampere Equations, Springer-Verlag, New York, 1980. | Zbl

[2] Berge L., De Bouard A., Saut J., Blowing up time-dependent solutions of the planar Chern-Simons gauged nonlinear Schrodinger equation, Nonlinearity 8 (1995) 235-253. | Zbl

[3] Berge L., De Bouard A., Saut J., Collapse of Chern-Simons-gauged matter fields, Phys. Rev. Lett. 74 (1995) 3907-3911. | Zbl

[4] Brezis H., Gallouet T., Nonlinear Schroedinger evolution equations, Nonlinear Anal. 4 (4) (1980) 677-681. | Zbl | MR

[5] Chae D., Choe K., Global existence in the Cauchy problem of the relativistic Chern-Simons-Higgs theory, Nonlinearity 15 (2002) 747-758. | Zbl

[6] Demoulini S., Stuart D., Gradient flow of the superconducting Ginzburg-Landau functional on the plane, Comm. Anal. Geom. 5 (1) (1997) 121-198. | Zbl

[7] Demoulini S., Periodic solutions and rigid rotation of the gauged Ginzburg-Landau vortices, in: (Berlin, 1999), International Conference on Differential Equations, vols. 1, 2, World Sci. Publishing, River Edge, NJ, 2000, pp. 542-544. | Zbl

[8] Kato T., Linear evolution equations of “hyperbolic” type, J. Fac. Sci. Univ. Tokyo Sect. I 17 (1970) 241-258. | Zbl

[9] Majda A., Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Applied Mathematical Sciences, vol. 53, Springer-Verlag, 1984. | Zbl | MR

[10] Manton N., First order vortex dynamics, Ann. Phys. 256 (1997) 114-131. | Zbl | MR

[11] Palais R., Foundations of Global Nonlinear Analysis, Mathematics Lecture Note Series, W.A. Benjamin, New York, 1968. | Zbl | MR

[12] Stuart D., Dynamics of Abelian Higgs vortices in the near Bogomolny regime, Comm. Math. Phys. 159 (1994) 51-91. | Zbl | MR

[13] Stuart D., Periodic solutions of the Abelian Higgs model and rigid rotation of vortices, Geom. Funct. Anal. (GAFA) 9 (1999) 1-28. | Zbl | MR

[14] Taylor M., Partial Differential Equations, Applied Mathematical Sciences, vol. 117, Springer-Verlag, 1996. | Zbl | MR

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