TY - JOUR UR - http://lib.ugent.be/catalog/pug01:970886 ID - pug01:970886 LA - eng TI - Some concepts of regularity for parametric multiple-integral problems in the calculus of variations PY - 2009 JO - (2009) CZECHOSLOVAK MATHEMATICAL JOURNAL SN - 0011-4642 PB - 2009 AU - Crampin, Michael UGent 801001716856 AU - Saunders, DJ AB - We show that asserting the regularity (in the sense of Rund) of a first-order parametric multiple-integral variational problem is equivalent to asserting that the differential of the projection of its Hilbert-Caratheodory form is multisymplectic, and is also equivalent to asserting that Dedecker extremals of the latter (m + 1)-form are holonomic. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 970886 | ||
005 | 20190108122003.0 | ||
008 | 100607s2009------------------------eng-- | ||
022 | a 0011-4642 | ||
024 | a 000271641700014 2 wos | ||
024 | a 1854/LU-970886 2 handle | ||
024 | a 10.1007/s10587-009-0044-0 2 doi | ||
040 | a UGent | ||
245 | a Some concepts of regularity for parametric multiple-integral problems in the calculus of variations | ||
260 | c 2009 | ||
520 | a We show that asserting the regularity (in the sense of Rund) of a first-order parametric multiple-integral variational problem is equivalent to asserting that the differential of the projection of its Hilbert-Caratheodory form is multisymplectic, and is also equivalent to asserting that Dedecker extremals of the latter (m + 1)-form are holonomic. | ||
598 | a A1 | ||
700 | a Crampin, Michael u UGent 0 801001716856 0 979981427413 9 F6A76418-F0ED-11E1-A9DE-61C894A0A6B4 | ||
700 | a Saunders, DJ | ||
650 | a Mathematics and Statistics | ||
653 | a regularity | ||
653 | a parametric variational problem | ||
653 | a multisymplectic | ||
653 | a HILBERT-CARATHEODORY | ||
773 | t CZECHOSLOVAK MATHEMATICAL JOURNAL g Czech. Math. J. 2009. 59 (3) p.741-758 q 59:3<741 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/970886/file/986722 z [ugent] y Crampin_2009_CMJ_59_3_741.pdf | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/970886/file/970889 z [open] y regfinal.pdf | ||
920 | a article | ||
Z30 | x WE 1 WE01 | ||
922 | a UGENT-WE | ||
Z30 | x WE 1 WE01* | ||
922 | a UGENT-WE |
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