TY - JOUR
T1 - Initial Boundary Value Problem for Generalized 2D Complex Ginzburg-Landau Equation
JO - Journal of Partial Differential Equations
VL - 1
SP - 65
EP - 70
PY - 2007
DA - 2007/02
SN - 20
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5293.html
KW - Generalized 2D Ginzburg-Landau equation
KW - initial boundary value problem
KW - ε-regular map
KW - global solution
KW - global attractor
AB - <p>In this paper we study an initial boundary value problem for a generalized complex Ginzburg-Landau equation with two spatial variables (2D). Applying the notion of the ε-regular map we show the unique existence of global solutions for initial data with low regularity and the existence of the global attractor.</p>