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 - <p>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.</p>