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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 = {}, 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 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 & Shangbin Cui . (2019). 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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