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

Title:

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

Creator:

Crampin, M. and Saunders, D. J.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:e7a0d4df-f60a-409b-a481-d8569430f0b2
uuid:e7a0d4df-f60a-409b-a481-d8569430f0b2

Subject:

parametric variational problem, regularity, and multisymplectic

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

741-758

Source:

Czechoslovak Mathematical Journal | 2009 Volume:59 | Number:3

Harvested from:

CDK

Metadata only:

false