Heat equation with a general stochastic measure on nested fractals |
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| Authors: | Vadym Radchenko,Martina Zä hle |
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| Affiliation: | a Department of Mathematical Analysis, Taras Shevchenko National University of Kyiv, 64 Volodymyrs’ka St., 01601 Kyiv, Ukraineb Mathematical Institute, Friedrich-Schiller-Universität Jena, 07737 Jena, Germany |
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| Abstract: | ![]()
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. |
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| Keywords: | 60G57 60H15 |
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