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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 −(-Δ)α/2 satisfying some integrability condition.… Click to show full abstract
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 −(-Δ)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.
Keywords:
time asymptotic;
dawson watanabe;
time;
stable dawson;
long time
Journal Title: Acta Mathematica Scientia
Year Published: 2019
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Journal Title: Acta Mathematica Scientia
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!