Global existence for a nonlinear Schroedinger–Chern–Simons system on a surface

Sophia Demoulini

Annales de l'I.H.P. Analyse non linéaire (2007)

  • Volume: 24, Issue: 2, page 207-225
  • ISSN: 0294-1449

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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 24.2 (2007): 207-225. <http://eudml.org/doc/78732>.

@article{Demoulini2007,
author = {Demoulini, Sophia},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Nonlinear Schrödinger; Chern-Simons system; Global existence; Regularity; Riemannian manifold},
language = {eng},
number = {2},
pages = {207-225},
publisher = {Elsevier},
title = {Global existence for a nonlinear Schroedinger–Chern–Simons system on a surface},
url = {http://eudml.org/doc/78732},
volume = {24},
year = {2007},
}

TY - JOUR
AU - Demoulini, Sophia
TI - Global existence for a nonlinear Schroedinger–Chern–Simons system on a surface
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2007
PB - Elsevier
VL - 24
IS - 2
SP - 207
EP - 225
LA - eng
KW - Nonlinear Schrödinger; Chern-Simons system; Global existence; Regularity; Riemannian manifold
UR - http://eudml.org/doc/78732
ER -

References

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  3. [3] Berge L., de Bouard A., Saut J., Collapse of Chern–Simons-gauged matter fields, Phys. Rev. Lett.74 (1995) 3907-3911. Zbl1020.81698
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  7. [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. Zbl0969.35122
  8. [8] Kato T., Linear evolution equations of “hyperbolic” type, J. Fac. Sci. Univ. Tokyo Sect. I17 (1970) 241-258. Zbl0222.47011
  9. [9] Majda A., Compressible Fluid Flow and Systems of Conservation Laws in Several Space Variables, Applied Mathematical Sciences, vol. 53, Springer-Verlag, 1984. Zbl0537.76001MR748308
  10. [10] Manton N., First order vortex dynamics, Ann. Phys.256 (1997) 114-131. Zbl0932.58014MR1447732
  11. [11] Palais R., Foundations of Global Nonlinear Analysis, Mathematics Lecture Note Series, W.A. Benjamin, New York, 1968. Zbl0164.11102MR248880
  12. [12] Stuart D., Dynamics of Abelian Higgs vortices in the near Bogomolny regime, Comm. Math. Phys.159 (1994) 51-91. Zbl0807.35141MR1257242
  13. [13] Stuart D., Periodic solutions of the Abelian Higgs model and rigid rotation of vortices, Geom. Funct. Anal. (GAFA)9 (1999) 1-28. Zbl0998.35053MR1708440
  14. [14] Taylor M., Partial Differential Equations, Applied Mathematical Sciences, vol. 117, Springer-Verlag, 1996. Zbl0869.35004MR1395147

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