Monotonicity method applied to complex Ginzburg-Landau type equations |
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| Authors: | Tomomi Yokota |
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| Institution: | Department of Mathematics, Tokyo University of Science, Japan |
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| Abstract: | Global existence and smoothing effect are established for the complex Ginzburg-Landau type equation in which the real and imaginary parts of the complex coefficient are multiplied by nonlinear terms with different powers. The proof is based on monotonicity methods described by subdifferential operators. The key lies in two modified inequalities. |
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| Keywords: | Complex Ginzburg-Landau type equations Subdifferential operators |
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