  The multiplicative non-linearity term is usually assumed to be globally
Lipschitz in most results on SPDEs. This work proves that the solutions fail to
exist if the non-linearity term grows faster than linear growth. The global
non-existence of the solution occurs for some non-linear conditions on $\sigma$
. Some precise conditions for existence and uniqueness of the solutions were
stated and we have established that the solutions grow in time at most a
precise exponential rate at some time interval; and if the solutions satisfy
some non-linear conditions then they cease to exist at some finite time t . Our
result also compares the non-existence of global solutions for both the
compensated and non-compensated Poisson noise equations
