数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (1): 37-45.doi: 10.1007/s10473-019-0104-y
Khoa LÊ1,2
Khoa LÊ1,2
摘要: Let W=(Wt)t ≥ 0 be a supercritical α-stable Dawson-Watanabe process (with α ∈ (0, 2]) and f be a test function in the domain of -(-△) α/2 satisfying some integrability condition. Assuming the initial measure W0 has a finite positive moment, we determine the long-time asymptotic of arbitrary order of Wt(f). In particular, it is shown that the local behavior of Wt in long-time is completely determined by the asymptotic of the total mass Wt(1), a global characteristic.