  Multisymplectic geometry is an adequate formalism to geometrically describe
first order classical field theories. The De Donder-Weyl equations are treated
in the framework of multisymplectic geometry, solutions are identified as
integral manifolds of Hamiltonean multivectorfields. In contrast to mechanics,
solutions cannot be described by points in the multisymplectic phase space.
Foliations of the configuration space by solutions and a multisymplectic
version of Hamilton-Jacobi theory are also discussed.
