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Volume 20, Issue 3
Local and Global Existence of Solutions of the Ginzburg-Landau Type Equations

Fujun Zhou & Shangbin Cui

J. Part. Diff. Eq., 20 (2007), pp. 220-246.

Published online: 2007-08

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  • Abstract

This paper is devoted to studying the initial value problem of the Ginzburg-Landau type equations. We treat the case where the nonlinear interaction function is a general continuous function, not required to satisfy any smoothness conditions. Local and global existence results of solutions of the problem are given. Decay estimates are also shown.

  • Keywords

Ginzburg-Landau type equations initial value problem local existence global existence

  • AMS Subject Headings

35Q35 35K55.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-20-220, author = {Fujun Zhou and Shangbin Cui }, title = {Local and Global Existence of Solutions of the Ginzburg-Landau Type Equations}, journal = {Journal of Partial Differential Equations}, year = {2007}, volume = {20}, number = {3}, pages = {220--246}, abstract = {

This paper is devoted to studying the initial value problem of the Ginzburg-Landau type equations. We treat the case where the nonlinear interaction function is a general continuous function, not required to satisfy any smoothness conditions. Local and global existence results of solutions of the problem are given. Decay estimates are also shown.

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5304.html} }
TY - JOUR T1 - Local and Global Existence of Solutions of the Ginzburg-Landau Type Equations AU - Fujun Zhou & Shangbin Cui JO - Journal of Partial Differential Equations VL - 3 SP - 220 EP - 246 PY - 2007 DA - 2007/08 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5304.html KW - Ginzburg-Landau type equations KW - initial value problem KW - local existence KW - global existence AB -

This paper is devoted to studying the initial value problem of the Ginzburg-Landau type equations. We treat the case where the nonlinear interaction function is a general continuous function, not required to satisfy any smoothness conditions. Local and global existence results of solutions of the problem are given. Decay estimates are also shown.

Fujun Zhou and Shangbin Cui . (2007). Local and Global Existence of Solutions of the Ginzburg-Landau Type Equations. Journal of Partial Differential Equations. 20 (3). 220-246. doi:
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