On Non-existence of Global Weak-predictable-random-field Solutions to a Class of SHEs

Ejighikeme McSylvester Omaba, Emmanuel Nwaeze, Louis Okechukwu Omenyi

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 t…