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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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.