Criteria for partial differential equations to be Euler-Lagrange equations
نویسندگان
چکیده
منابع مشابه
Exterior Differential Systems and Euler-Lagrange Partial Differential Equations
Preface During the 1996-97 academic year, Phillip Griffiths and Robert Bryant conducted a seminar at the Institute for Advanced Study in Princeton, NJ, outlining their recent work (with Lucas Hsu) on a geometric approach to the calculus of variations in several variables. The present work is an outgrowth of that project; it includes all of the material presented in the seminar, with numerous ad...
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Euler-lagrange Equations
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Marsden and Scheurle [1993] studied Lagrangian reduction in the context of momentum map constraints—here meaning the reduction of the standard Euler-Lagrange system restricted to a level set of a momentum map. This provides a Lagrangian parallel to the reduction of symplectic manifolds. The present paper studies the Lagrangian parallel of Poisson reduction for Hamiltonian systems. For the reduc...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1977
ISSN: 0022-0396
DOI: 10.1016/0022-0396(77)90145-0