Limiting expression for higher-dimensional supercritical stochastic heat equation expansions

Characterize the limiting expression at zero regularization parameter for the expansion of solutions to the higher-dimensional supercritical stochastic heat equations considered in the related work.

Background

The paper discusses related work on higher-order expansions for supercritical stochastic heat equations. Although arbitrary polynomial-order expansions in the regularization parameter can be obtained, the expansion terms themselves depend on that parameter, leaving unresolved the characterization of the limiting expression when the parameter tends to zero.