The EMS Publishing House is now EMS Press and has its new home at ems.press.

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen


Full-Text PDF (169 KB) | Metadata | Table of Contents | ZAA summary
Volume 30, Issue 3, 2011, pp. 253–268
DOI: 10.4171/ZAA/1434

Published online: 2011-07-03

Symmetries of the Generalized Variational Functional of Herglotz for Several Independent Variables

Bogdana Georgieva[1]

(1) Sofia University "St. Kliment Ohridski", Bulgaria

This paper provides a method for calculating the symmetry groups of the functional defined by the generalized variational principle of Herglotz in the case of several independent variables. Examples of calculating variational symmetry groups are given, including those for the non-conservative nonlinear Klein-Gordon equation, and for the equations describing the propagation of electromagnetic fields in a conductive medium.

Keywords: Variational symmeties, Herglotz variational principle, invariant functional, Herglotz

Georgieva Bogdana: Symmetries of the Generalized Variational Functional of Herglotz for Several Independent Variables. Z. Anal. Anwend. 30 (2011), 253-268. doi: 10.4171/ZAA/1434