There is no bound on the order of the conditions needed to write a multisymplectic form with constant coefficients: for every j, explicit 3-forms in dimension 2j+5 require conditions of order j.
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2 Pith papers cite this work, alongside 357 external citations. Polarity classification is still indexing.
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Develops Hamilton-Jacobi theory for non-conservative classical field theories in the k-contact framework, with z-independent and z-dependent approaches, affine/quadratic Hamiltonian cases, and recovery of the k=1 contact theory.
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The Spencer cohomology and integrability of multisymplectic structures
There is no bound on the order of the conditions needed to write a multisymplectic form with constant coefficients: for every j, explicit 3-forms in dimension 2j+5 require conditions of order j.
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Hamilton--Jacobi theory for non-conservative field theories in the $k$-contact framework
Develops Hamilton-Jacobi theory for non-conservative classical field theories in the k-contact framework, with z-independent and z-dependent approaches, affine/quadratic Hamiltonian cases, and recovery of the k=1 contact theory.