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LOCAL AND GLOBAL EXISTENCE OF SOLUTIONS OF THE GINZBURG-LANDAU TYPE EQUATIONS

LOCAL AND GLOBAL EXISTENCE OF SOLUTIONS OF THE GINZBURG-LANDAU TYPE EQUATIONS
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摘要 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.
出处 《Journal of Partial Differential Equations》 2007年第3期220-246,共27页 偏微分方程(英文版)
基金 This work is supported by the China National Science Foundation (No. 10471157).
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