Global solution of nonlinear stochastic heat equation with solutions in a Hilbert manifold.

The objective of this paper is to prove the existence of a global solution to a certain stochastic partial differential equation subject to the L 2 -norm being constrained. The corresponding evolution equation can be seen as the projection of the unconstrained problem onto the tangent space of the unit sphere ℳ in a Hilbert space L 2 . [ABSTRACT FROM AUTHOR]