BOUNDARY-VALUE PROBLEMS FOR HAMILTONIAN SYSTEMS AND ABSOLUTE MINIMIZERS IN CALCULUS OF VARIATIONS

被引：0

作者：

Kolokol'tsov, Vassili N. ^{[1
]}

Tyukov, Alexey E. ^{[2
]}

机构：

[1] Univ Warwick, Dept Stat, Coventry CV4 7AL, W Midlands, England

[2] Cardiff Univ, Cardiff Sch Math, Cardiff CF24 4AG, S Glam, Wales

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年

关键词：

Hamiltonian systems; absolute minimizers; global field of extremals; WKB method;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply the method of Hamilton shooting to obtain the well-posedness of boundary value problems for certain Hamiltonian systems and some estimates for their solutions. The examples of Hamiltonian functions covered by the method include elliptic polynomials and exponentially growing functions. As a consequence we prove global existence, smoothness and almost everywhere uniqueness of absolute minimizers in the corresponding problem of calculus of variations and hence construct the global field of extremals.

引用

页数：21

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