论文标题
随机雪花上的分数cauchy问题
Fractional Cauchy problem on random snowflakes
论文作者
论文摘要
我们考虑在随机Koch（骨架前和分形）域上改变时间变化的布朗动作，其中时间变化是由下属的倒数给出的。特别是，我们研究了罗宾条件的分数库奇问题，该问题是在骨架前边界上与罗宾，诺伊曼和迪里奇莱特边界条件在分形域上获得相应分数扩散的渐近结果。
We consider time-changed Brownian motions on random Koch (pre-fractal and fractal) domains where the time change is given by the inverse to a subordinator. In particular, we study the fractional Cauchy problem with Robin condition on the pre-fractal boundary obtaining asymptotic results for the corresponding fractional diffusions with Robin, Neumann and Dirichlet boundary conditions on the fractal domain.
