Consider the following stochastic partial differential equation,
The operator L is the generator of a strictly stable process and F˙ is the random forcing term which is assumed to be Gaussian. Under some additional conditions, most notably on σ and the initial condition, we show non-existence of global random field solutions. Our results are new and complement earlier works.
|Journal||Journal of Differential Equations|
|Publication status||Accepted/In press - 21 Dec 2017|
- partial differential equation