A note on semigroups of locally lipschitz operators associated with semilinear evolution equations

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In this note we shall give a simple proof for a part of proof of T. Matsumoto and N. Tanaka [6] Theorem 2.2. This theorem is applied to the global solvability of the mixed problem for the complex Ginzburg-Landau equation by T. Matsumoto and N. Tanaka [5][6]. In this note we shall give a simple proof for a part of proof of T. Matsumoto and N. Tanaka [6] Theorem 2.2.

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