Boundary-value problems for Hamiltonian systems and absolute minimizers in calculus of variations
Date
2006-08-15
Authors
Kolokol'tsov, Vassili N.
Tyukov, Alexey E.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
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.
Description
Keywords
Hamiltonian systems, Absolute minimizers, Global field of extremals, WKB method
Citation
Kolokol'tsov, V. N., & Tyukov, A. E. (2006). Boundary-value problems for Hamiltonian systems and absolute minimizers in calculus of variations. <i>Electronic Journal of Differential Equations, 2006</i>(90), pp. 1-21.
Rights
Attribution 4.0 International