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Description
| - Standard Hamiltonian formulation of field theory is founded upon the Poicaré-Cartan form. Accordingly, a first-order Lagrangian L is called regular if $\det ({{\pr^2 L} \over {\pr y^\sigma_i \pr y^\nu_j}}) \ne 0$; in this case the Hamilton equations are equivalent with the Euler-Lagrange equations. 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 than 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.
- Standard Hamiltonian formulation of field theory is founded upon the Poicaré-Cartan form. Accordingly, a first-order Lagrangian L is called regular if $\det ({{\pr^2 L} \over {\pr y^\sigma_i \pr y^\nu_j}}) \ne 0$; in this case the Hamilton equations are equivalent with the Euler-Lagrange equations. 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 than 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. (en)
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Title
| - On regularization of variational problems in first-order field theory
- On regularization of variational problems in first-order field theory (en)
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skos:prefLabel
| - On regularization of variational problems in first-order field theory
- On regularization of variational problems in first-order field theory (en)
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skos:notation
| - RIV/47813059:19610/01:00000059!RIV/2002/MSM/196102/N
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/47813059:19610/01:00000059
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - Lagrangian; Poincaré-Cartan form; Lepage form; Hamilton extremals; Hamilton equations; regularity (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - Rendiconti Circcolo Matematico di Palermo, Serie II Supplemento
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...ocetUcastnikuAkce
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http://linked.open...nichUcastnikuAkce
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Krupková, Olga
- Smetanová, Dana
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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