Heat equation with a general stochastic measure on nested fractals
| Autor: | Radchenko, Vadym, Zähle, Martina |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Statistics and Probability Letters, 82 (2012), 699-704 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.spl.2011.12.013 |
| Popis: | A stochastic heat equation on an unbounded nested fractal driven by a general stochastic measure is investigated. Existence, uniqueness and continuity of the mild solution are proved provided that the spectral dimension of the fractal is less than 4/3. Comment: 8 pages |
| Databáze: | arXiv |
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