SCHR?DINGER TYPE EVOLUTION EQUATIONS WITH MONOTONE NONLINEARITY OF NON-POWER TYPE

Yoshiki Maeda; Noboru Okazawa

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SCHR?DINGER TYPE EVOLUTION EQUATIONS WITH MONOTONE NONLINEARITY OF NON-POWER TYPE

机译：SCHR的？具有非幂型单调非线性的丁格型演化方程

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摘要

Existence of unique strong solutions is established for Schrodinger type evolution equations with monotone nonlinearity. The proof is based on a perturbation theorem for m-accretive operators in a complex Hilbert space.

机译：Existence of unique strong solutions is established for Schrodinger type evolution equations with monotone nonlinearity.该证明基于复希尔伯特空间中 m 吸积算子的扰动定理。

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来源
《Discrete and Continuous Dynamical Systems, Series S》 |2013年第3期|771-781|共11页
作者
Yoshiki Maeda; Noboru Okazawa;
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作者单位

Department of Mathematics, Science University of Tokyo Kagurazaka 1-3, Shinjuku-ku, Tokyo 162-8601, Japan;

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正文语种英语
中图分类数学;
关键词
Schr?dinger type evolution equations (nondiffusive complex Ginzburg-Landau equations); monotone nonlinearity; m-accretive operators;

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SCHR?DINGER TYPE EVOLUTION EQUATIONS WITH MONOTONE NONLINEARITY OF NON-POWER TYPE

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