,WELL-POSEDNESS, DECAY ESTIMATES AND BLOW-UP THEOREM FOR THE FORCED NLS

来源 :偏微分方程（英文版） | 被引量 : 0次 | 上传用户：sharufeifen

【摘要】

：

In this article we prove that the following NLS iut = uxx -g｜u｜P-1u, g ＞0, x, t ＞ 0 with either Dirichlet or Robin boundary condition at x = 0 is well-posed.Lp+1 de

【作者】

：

Charles Bu Randy Shull Hefei Wang Millie Chu

【机构】

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Department of Mathematics, Wellesley College, Wellesley, MA 02481, U.S.A.“,”Department of Computer S

【出处】

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偏微分方程（英文版）

【发表日期】

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2001年1期

【关键词】

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Nonlinear Schrodinger equation well-posedness decay estimates blow-up.

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In this article we prove that the following NLS iut = uxx -g｜u｜P-1u, g ＞0, x, t ＞ 0 with either Dirichlet or Robin boundary condition at x = 0 is well-posed.Lp+1 decay estimates, blow-up theorem and numerical results are also given.

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,WELL-POSEDNESS, DECAY ESTIMATES AND BLOW-UP THEOREM FOR THE FORCED NLS

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