Global existence and regularity of solutions for complex Ginzburg-Landau equations

Stéphane Descombes; Mohand Moussaoui

Bollettino dell'Unione Matematica Italiana (2000)

  • Volume: 3-B, Issue: 1, page 193-211
  • ISSN: 0392-4041

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Descombes, Stéphane, and Moussaoui, Mohand. "Global existence and regularity of solutions for complex Ginzburg-Landau equations." Bollettino dell'Unione Matematica Italiana 3-B.1 (2000): 193-211. <http://eudml.org/doc/196056>.

@article{Descombes2000,
author = {Descombes, Stéphane, Moussaoui, Mohand},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {193-211},
publisher = {Unione Matematica Italiana},
title = {Global existence and regularity of solutions for complex Ginzburg-Landau equations},
url = {http://eudml.org/doc/196056},
volume = {3-B},
year = {2000},
}

TY - JOUR
AU - Descombes, Stéphane
AU - Moussaoui, Mohand
TI - Global existence and regularity of solutions for complex Ginzburg-Landau equations
JO - Bollettino dell'Unione Matematica Italiana
DA - 2000/2//
PB - Unione Matematica Italiana
VL - 3-B
IS - 1
SP - 193
EP - 211
LA - eng
UR - http://eudml.org/doc/196056
ER -

References

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  2. DORE, G.- VENNI, A., On the closedness of the sum of two closed operators, Mathematische Zeitschrift, 195 (1997), 279-286. Zbl0615.47002
  3. FAUVE, S.- THUAL, O., Localized structures generated by subcritical instabilities, J. Phys. France, 49 (1988), 1829-1833. 
  4. GINIBRE, J.- VELO, G., The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. I. Compactness methods, Physica D, 95 (1996), no. 3-4, 191-228. Zbl0889.35045MR1406282
  5. GINIBRE, J.- VELO, G., The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. II. Contraction methods, Comm. Math. Phys., 187 (1997), no. 1, 45-79. Zbl0889.35046MR1463822
  6. HIBER, M.- PRÜSS, J., Heat kernels and maximal L p - L q estimates for parabolic evolution equations, Comm. Partial Differential Equations, 22 (1997), no. 9-10, 1647-1669. Zbl0886.35030MR1469585
  7. LADYZHENSKAYA, O. A.- SOLONNIKOV, V. A.- URAL'TSEVA, N. N., Linear and quasilinear equations of parabolic type, Nauka, Moscou, (1967); English transl. Amer. Math. Soc.Providence, RI (1968). Zbl0174.15403
  8. DE MOTTONI, P.- SCHATZMAN, M., Geometrical evolution of developed interfaces, Transactions of the American Mathematical Society, Volume 347, Number 5 (1995), 1533-1589. Zbl0840.35010MR1672406
  9. PRÜSS, J.- SOHR, H., On operators with bounded imaginary powers in Banach spaces, Mathematische Zeitschrift, 203 (1990), 429-452. Zbl0665.47015MR1038710
  10. PRÜSS, J.- SOHR, H., Imaginary powers of elliptic second order differential operators in L p -spaces, Hiroshima Math. J., 23 (1993), no. 1, 161-192. Zbl0790.35023MR1211773
  11. SEELEY, R., Norms and domains of the complex powers A B z , Am. Jour. Math., 93 (1971), 299-309. Zbl0218.35034MR287376
  12. TRIBEL, H., Interpolation Theory, Function Spaces, Differential Operators, North Holland, Amterdam, New York, Oxford (1978). Zbl0387.46032

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