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Sharper global existence for the generalized 1D nonhomogeneous Ginzburg–Landau equation

✍ Scribed by Xiaohua Gu; Hongjun Gao

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 107 KB
Volume: 284
Category: Article
ISSN: 0022-247X
DOI: 10.1016/s0022-247x(03)00358-5

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✦ Synopsis

We study the following generalized 1D Ginzburg-Landau equation on Ω = (0, ∞) × (0, ∞):

with initial and Dirichlet boundary conditions u(x, 0) = h(x), u(0, t) = Q(t). Based on detail analysis, the sharper existence and uniqueness of global solutions are obtained under sufficient conditions.

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