Regularization by Nonlinear Noise for PDEs: Well-posedness and Finite
Time Extinction
Regularization by Nonlinear Noise for PDEs: Well-posedness and Finite
Time Extinction
This work focuses on the global existence, uniqueness and the Feller property for a class of stochastic partial differential equations by adding a suitable nonlinear noise, while the corresponding deterministic equations may only have local solutions. In particular, we discover a new phenomenon that for a potentially explosive deterministic system, …