| Abstract: |
| In this talk, we shall mainly consider the intermittent property of stochastic partial differential equations driven by inhomogeneous space-time type noises. The inhomogeneous noise is closely relative to the study of the catalytic super-Brownian motion. Under some conditions, weakly full intermittent property and noise excitation are investigated, which show the impact of noises to dynamic systems. In particular, it is proved that the second moment of the solution grows at the exponential rate. The novelty is that the catalytic measure relative to the inhomogeneous noise is not required to be absolutely continuous with respect to the Lebesgue measure. |
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