Equivalent Semi-Norms of Non-Local Dirichlet Forms on the Sierpiński Gasket and Applications

Author:

Yang Meng

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Reference12 articles.

1. Barlow, M.T.: Diffusions on fractals, in Lectures on probability theory and statistics (Saint-Flour, 1995), vol. 1690 of Lecture Notes in Math, pp. 1–121. Springer, Berlin (1998)

2. Fukushima, M., Oshima, Y., Takeda, M.: Dirichlet forms and symmetric Markov processes, vol. 19 of De Gruyter studies in mathematics; 19, de Gruyter, Berlin [u.a.], 2., rev. and extended ed ed. (2011)

3. Grigor’yan, A., Hu, J., Lau, K.-S.: Heat kernels on metric measure spaces and an application to semilinear elliptic equations. Trans. Amer. Math. Soc. 355, 2065–2095 (2003). (electronic)

4. Grigor’yan, A., Yang, M.: Determination of the walk dimension of the sierpiński gasket without using diffusion. J. Fractal Geom., (2017, to appear)

5. Jonsson, A.: Brownian motion on fractals and function spaces. Math. Z. 222, 495–504 (1996)

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