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Applications of a nonlinear Ovsjannikov theorem to boundary control of nonlinear Schroedinger and Korteweg-de Vries equations.

机译：非线性Ovsjannikov定理在非线性Schroedinger和Korteweg-de Vries方程的边界控制中的应用。

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Boundary control problems in general are not well-posed since solutions, when they exist, are not usually unique. In attacking the boundary control problem for the nonlinear Schrodinger equation, we split the problem into two well-posed problems: an initial value problem on the whole real line and a "sideways" Cauchy problem. The initial value problem provides a smoothing-property in the class of Gevrey functions which yields the regularity necessary to solve the sideways problem via a nonlinear Ovsjannikov theorem.

机译：通常，边界控制问题并不适合解决问题，因为解决方案在存在时通常不是唯一的。在攻击非线性Schrodinger方程的边界控制问题时，我们将该问题分为两个恰当的问题：整个实线上的初始值问题和“横向”柯西问题。初值问题提供了Gevrey函数类中的平滑属性，该函数产生了通过非线性Ovsjannikov定理解决侧面问题所需的规则性。

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作者
De Jager, Joel Perry.;
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作者单位

University of Minnesota.;

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授予单位 University of Minnesota.;
学科 Mathematics.
学位 Ph.D.
年度 1997
页码 82 p.
总页数 82
原文格式 PDF
正文语种 eng
中图分类数学;
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Applications of a nonlinear Ovsjannikov theorem to boundary control of nonlinear Schroedinger and Korteweg-de Vries equations.

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