Abstract. 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.
Fractional Cauchy problem on random snowflakes / Capitanelli, Raffaela; D'Ovidio, Mirko. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - (2021). [10.1007/s00028-021-00673-7]
Fractional Cauchy problem on random snowflakes
Raffaela Capitanelli
;Mirko D’Ovidio
2021
Abstract
Abstract. 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.File allegati a questo prodotto
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