Okazawa, Noboru; Yokota, Tomomi Perturbation theory for \(m\)-accretive operators and generalized complex Ginzburg-Landau equations. (English) Zbl 1045.35080 J. Math. Soc. Japan 54, No. 1, 1-19 (2002). The authors establish the existence and uniqueness of global strong solutions for an initial-boundary value problem associated with the generalized Ginzburg-Landau equation. The approach is based on a new \(m\)-accretivity result for the linear combination of a linear nonnegative self-adjoint operator, and a nonlinear \(m\)-accretive operator in a complex Hilbert space. Reviewer: Sergiu Aizicovici (Athens/Ohio) Cited in 9 Documents MSC: 35Q55 NLS equations (nonlinear Schrödinger equations) 47H06 Nonlinear accretive operators, dissipative operators, etc. 35B25 Singular perturbations in context of PDEs PDFBibTeX XMLCite \textit{N. Okazawa} and \textit{T. Yokota}, J. Math. Soc. Japan 54, No. 1, 1--19 (2002; Zbl 1045.35080) Full Text: DOI