Some concepts of regularity for parametric multiple-integral problems in the calculus of variations

被引：0
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作者：
M. Crampin
D. J. Saunders
机构：
[1] Ghent University,Department of Mathematical Physics and Astronomy
[2] Palacky University,Department of Algebra and Geometry
来源：
Czechoslovak Mathematical Journal | 2009年 / 59卷
关键词：
parametric variational problem; regularity; multisymplectic; 58E15; 49N60;
D O I：
暂无
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学科分类号：
摘要：
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-Carathéodory form is multisymplectic, and is also equivalent to asserting that Dedecker extremals of the latter (m + 1)-form are holonomic.
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页码：741 / 758
页数：17
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