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@inproceedings{23161, author = {Smetanová, Dana}, address = {Ostrava}, booktitle = {Modern Mathematical Methods in Engineering Czech-Polish Colloquium : sborník příspěvků}, edition = {1. vyd.}, keywords = {Lagrangian; Lepagean equivalent; Poincaré-Cartan form; Hamilton equations; Euler-Lagrange equations; regularity}, howpublished = {tištěná verze "print"}, language = {eng}, location = {Ostrava}, isbn = {978-80-248-3234-0}, pages = {119-122}, publisher = {VŠB - TU Ostrava}, title = {On Regularization Procedure of Lagrangians Linear in First Derivatives in First-Order Field Theory}, year = {2013} }
TY - JOUR ID - 23161 AU - Smetanová, Dana PY - 2013 TI - On Regularization Procedure of Lagrangians Linear in First Derivatives in First-Order Field Theory PB - VŠB - TU Ostrava CY - Ostrava SN - 9788024832340 KW - Lagrangian KW - Lepagean equivalent KW - Poincaré-Cartan form KW - Hamilton equations KW - Euler-Lagrange equations KW - regularity N2 - Standard Hamiltonian formulation of field theory is found upon the Poincaré-Cartan form. Keeping the requirement on equivalence of the Hamilton and Euler-Lagrange equations as a (geometric) definition of regularity, and considering more general Lepagean equivalents of a Lagrangian then the Poincaré-Cartan equivalent, we obtain a regularity condition, depending not only on a Lagrangian but also on 2-contact parts of its Lepagean equivalents. In this way one gets a possibility to "regularize" many Lagrangian systems which are linear in first derivatives (singular in the standard sense). The theory is illustrated on an example. ER -
SMETANOVÁ, Dana. On Regularization Procedure of Lagrangians Linear in First Derivatives in First-Order Field Theory. In \textit{Modern Mathematical Methods in Engineering Czech-Polish Colloquium : sborník příspěvků}. 1. vyd. Ostrava: VŠB - TU Ostrava, 2013, p.~119-122. ISBN~978-80-248-3234-0.
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