L. O. Omenyi

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

E. M. Omaba, E. Nwaeze & L. O. Omenyi · Asian Research Journal of Mathematics · 2017

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-li...