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Author Ghoussoub, Nassif ♦ Moameni, Abbas
Source CiteSeerX
Content type Text
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Periodic Solution ♦ Hamiltonian Path ♦ Variational Principle ♦ Convex Hamiltonian System ♦ Corresponding Cauchy Problem ♦ Anti-selfdual Lagrangians ♦ Forthcoming Paper ♦ Lagrangian Submanifolds ♦ New Variational Method
Description We use a new variational method –based on the theory of anti-selfdual Lagrangians developed in [2] and [3] – to establish the existence of solutions of convex Hamiltonian systems that connect two given Lagrangian submanifolds in R 2N. We also consider the case where the Hamiltonian is only semi-convex. A variational principle is also used to establish existence for the corresponding Cauchy problem. The case of periodic solutions will be considered in a forthcoming paper [5].
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article